CyberSec Research

Understanding the emergence of unconventional superconductivity, where the order parameter deviates from simple isotropic s-wave pairing, is a central puzzle in condensed matter physics. Transition-metal dichalcogenides (TMDCs), though generally regarded as conventional superconductors, display signatures of this unusual behavior and thus provide a particularly intriguing platform to explore how exotic states arise. Here we investigate the misfit compound (SnS)$_{1.15}$(TaS$_2$), a heterostructure composed of alternating SnS and 1H-TaS$_2$ layers. Using transport, photoemission, and scanning tunneling spectroscopy, we demonstrate that the SnS layers effectively decouple the TaS$_2$ into electronically isolated 1H sheets. In this limit, the tunneling density of states reveals a clear two-gap superconducting spectrum with T$_c \sim$ 3.1 K. A theoretical model based on lack of inversion symmetry and finite-range attraction reproduces the observed multi-gap structure as a mixed singlet-triplet state. These results establish misfit compounds as a powerful platform for studying unconventional superconductivity in isolated 1H layers and for realizing multiple uncoupled superconductors within a single crystal.

In order to fully utilize the technological potential of unconventional superconductors, an enhanced understanding of the superconducting mechanism is necessary. In the best performing superconductors, the cuprates, superconductivity is intimately linked with magnetism, although the details of this remain elusive. In search of clarity in the magnetism-superconductivity relationship, we focus on the electron-doped cuprate Nd1.85Ce0.15CuO(4-delta) (NCCO). NCCO has an antiferromagnetic ground state when synthesized, and only becomes superconducting after a reductive annealing process. This makes NCCO an ideal template to study how the magnetism differs in the superconducting and non-superconducting state, while keeping the material template as constant as possible. Using neutron spectroscopy, we reveal that the as-grown crystal exhibits a large energy gap in the magnetic fluctuation spectrum. Upon annealing, defects that are introduced by the commonly employed synthesis method, are removed and the gap is significantly reduced. While the energy gap in the annealed sample is an effect of superconductivity, we argue that the gap in the as-grown sample is caused by the absence of long-wavelength spin waves. The defects in as-grown NCCO thus play the dual role of suppressing both superconductivity and low-energy spin waves, highlighting the connection between these two phenomena.

We present an SU(2)xU(1) Ginzburg-Landau theory of the spin triplet ferromagnetic superconductivity which could also describe the physics of the spin triplet magnon spintronics, where the SU(2) gauge interaction of the magnon plays an important role. The theory is made of the massive photon, massless neutral magnon, massive non-Abelian magnon, and the Higgs scalar field which represents the density of the Copper pair. It has the following characteristic features, the long range magnetic interaction mediated by the massless magnon, two types of conserved supercurrents (the ordinary electromagnetic current and the spin current made of the magnons) which could explain the conversion between the charge and spin currents, and the non-Abelian Meissner effect generated by the spin current. Moreover, it has non-Abelian topological objects, the quantized non-Abelian magnonic vortex and non-Abelian magnonic monopole, as well as the ordinary Abrikosov vortex. The theory is characterized by three scales. In addition to the correlation length fixed by the mass of the Higgs field it has two different mass scales, the one fixed by the mass of the photon and the other fixed by the mass of the off-diagonal magnon. We compare the theory with the non-Abelian gauge theory of the spin doublet ferromagnetic superconductivity which could also be interpreted as an effective theory of the electron spintronics. We discuss the physical implications of the non-Abelian gauge theories in condensed matter physics.

Recent researches on tilted Dirac cone materials have unveiled an astonishing property, the metric of the spacetime can be altered in these materials by applying a perpendicular electric field. This phenomenon is observed near the Fermi velocity, which is significantly lower than the speed of light. According to this property, we derive the Ginzburg-Landau action from the microscopic Hamiltonian of the BCS theory for the tilted Dirac cone materials. This derivation is performed near the critical point within the framework of curved spacetime. The novelty of the present work lies in deriving a general Ginzburg-Landau action that depends on spacetime curvature, where the curvature is tuned by an external electric field. Furthermore, this finding enables us to apply the Ginzburg-Landau theory at high temperatures by changing the spacetime metric, potentially offering insights into achieving high-temperature superconductivity in these materials.

We use the Schrieffer-Wolff transformation (SWT) to analyze Josephson junctions between superconducting leads described by the charge-conserving BCS theory. Starting from the single-electron tunneling terms, we directly recover the conventional effective Hamiltonian, $-E_J\cos\hat{\varphi}$, with an operator-valued phase bias $\hat{\varphi}$. The SWT approach has the advantage that it can be systematically extended to more complex scenarios. We show that if a Bogoliubov quasiparticle is present its motion couples to that of Cooper pairs, introducing correlated dynamics that reshape the energy spectrum of the junction. Furthermore, higher-order terms in the SWT naturally describe Josephson harmonics, whose amplitudes are directly related to the microscopic properties of the superconducting leads and the junction. We derive expressions that could facilitate tuning the ratio between the different harmonics in a controlled way.

The recent discovery of superconductivity in pressure-stabilized bulk La3Ni2O7-delta, with a critical temperature (Tc) exceeding 77 K, has opened a new frontier in high-temperature superconductivity research beyond cuprates. Yet, the superconducting gap amplitude and symmetry, the key parameters to characterize a superconductor, remain elusive due to the overwhelming challenges of gap studies under high pressure. Here, we introduce in situ directional point-contact spectroscopy conducted under truly hydrostatic pressure, enabling the direct mapping of the superconducting gap in pressurized La3Ni2O7-delta single crystals. Depending on the junction orientation, differential conductance (dI/dV) spectra exhibit distinct V-shaped quasiparticle features and a sharp zero-bias peak, indicating a predominant d-wave-like pairing symmetry. Measurement of the c-axis gap amplitude Delta yields a gap-to-Tc ratio of 2Delta/kBTc = 4.2(5), positioning La3Ni2O7-delta firmly among unconventional, nodal high-Tc superconductors. These findings set stringent constraints on theoretical models for nickelate superconductors and establish a robust spectroscopic approach for understanding superconductors under extreme pressures.

The recent discovery of compressed superconductivity at 80~K in La$_3$Ni$_2$O$_7$-$\delta$ has brought nickelates into the family of unconventional high-temperature superconductors. However, due to the challenges of directly probing the superconducting pairing mechanism under high pressure, the pairing symmetry and gap structures of nickelate superconductors remain under intense debate. In this work, we successfully determine the microscopic information on the superconducting gap structure of La$_3$Ni$_2$O$_7$-$\delta$ samples subjected to pressures exceeding 20~GPa, by constructing different conductance junctions within diamond anvil cells. By analyzing the temperature-dependent differential conductance spectra within the Blonder--Tinkham--Klapwijk (BTK) model, we have determined the superconducting energy gap at high pressure. The differential conductance curves reveal a two-gap structure with $\Delta_{1} = 23~\mathrm{meV}$ and $\Delta_{2} = 6~\mathrm{meV}$, while the BTK fitting is consistent with an $s$-like, two-gap spectrum. The gap ratio $2\Delta_{s1}(0) / k_{\mathrm{B}}T_{c}$ is found to be 7.61, belonging to a family of strongly coupled superconductors. Our findings provide valuable insights into the superconducting gap structures of the pressure-induced superconducting nickelates.

In conventional superconductors, the energy scale associated with the superfluid stiffness is much larger compared to the pairing energy and hence, the superconducting transition temperature (Tc) is entirely dictated by the superconducting (SC) energy gap. The phase rigidity of the SC condensate in unconventional superconductors, on the other hand, can be low enough to enable destruction of superconductivity via phase incoherence and persistence of an energy gap even at the absence of macroscopic superconductivity above Tc. This is considered a possible mechanism of the pseudogap (PG) state of cuprate high temperature superconductors (HTSCs). We have investigated the electronic energy ({\omega}) and momentum-separation vector (q) dependence of the joint density of states (JDOS), derived from the autocorrelated Angle Resolved Photoemission Spectroscopy (ARPES) data, from moderately underdoped Bi2Sr2CaCu2O8+{\delta}HTSC samples at temperatures below and above Tc. We found that q-space structure of the constant {\omega} JDOS intensity maps and the dispersions of the JDOS peaks are essentially the same both below and above Tc. Furthermore, the dispersions of the JDOS peaks above Tc are particle-hole symmetric. These observations evince similarity between the nature of the energy gap below and above Tc, which supports preformed pairing scenario for the PG state at least in the moderately underdoped regime.

Materials engineering using atomistic modeling is an essential tool for the development of qubits and quantum sensors. Traditional density-functional theory (DFT) does however not adequately capture the complete physics involved, including key aspects and dynamics of superconductivity, surface states, etc. There are also significant challenges regarding the system sizes that can be simulated, not least for thermal properties which are key in quantum-computing applications. The QuantumATK tool combines DFT, based on LCAO basis sets, with non-equilibrium Green's functions, to compute the characteristics of interfaces between superconductors and insulators, as well as the surface states of topological insulators. Additionally, the software leverages machine-learned force-fields to simulate thermal properties and to generate realistic amorphous geometries in large-scale systems. Finally, the description of superconducting qubits and sensors as two-level systems modeled with a double-well potential requires many-body physics, and this paper demonstrates how electron-electron interaction can be added to the single-particle energy levels from an atomistic tight-binding model to describe a realistic double-quantum dot system.

We revisit the global phase diagram of magic-angle twisted bilayer and [symmetric] trilayer graphene (MA-TBG/TSTG) in light of recent scanning tunneling microscopy (STM) measurements on these materials. These experiments both confirmed the importance of strain in stabilizing the predicted incommensurate Kekul\'{e} spiral (IKS) order near filling $|\nu|=2$ of the weakly dispersive central bands in both systems, and suggested a key role for electron-phonon couplings and short-range Coulomb interactions in selecting between various competing orders at low strain in MA-TBG. Here, we show that such interactions $\textit{also}$ play a crucial role in selecting the spin structure of the strain-stabilized IKS state. This in turn influences the visibility of the IKS order in STM in a manner that allows us to infer their relative importance. We use this insight in conjunction with various other pieces of experimental data to build a more complete picture of the phase diagram, focusing on the spectrum of low-lying collective modes and the nature of the doped Fermi surfaces. We explore the broad phenomenological implications of these results for superconductivity.

The recent advent of a new class of magnetic material named as altermagnet (AM), characterized by a combination of momentum-dependent spin-splitting with zero net magnetization, has opened up promising prospects for spintronic applications. We theoretically explore how the altermagnetic spin-splitting affects the thermoelectric quasiparticle current in AM-based superconducting heterostructures. Our setup comprises of a bilayer system where a $d$-wave AM is proximity coupled to an ordinary $s$-wave superconductor (SC). We calculate the thermoelectric current carried by the quasiparticles applying a finite thermal bias accross the junction. The behavior of the thermoelectric current with the system's base temperature and chemical potential is very similar to that in traditional SC heterostructures. Remarkably, the dissipative thermoelectric current found in the AM junction is spin-split and thus generates finite spin-polarization in the AM-based junction, which can approach $100\%$ spin-polarization in the strong altermagnetic phase. We further investigate the thermoelectric current in AM-based Josephson junction (JJ) and illustrate how to achieve the diode effect in this AM-based JJ. The efficiency of our proposed thermoelectric diode reaches upto $\sim 80\%$ and changes its sign depending on the strength of the AM, enhancing the potential for spin-calotronics applications.

Quantum sensing with nitrogen-vacancy (NV) centers in diamond enables the characterization of magnetic properties in the extreme situation of tiny sample with defects. Recent studies have reported superconductivity in La3Ni2O7-delta under pressure, with zero-resistance near 80 K, though the Meissner effect remains debated due to low superconducting volume fractions and limited high-pressure magnetic measurement techniques. In this work, we use diamond quantum sensors and four-probe detection to observe both zero resistance and the Meissner effect in the same La3Ni2O7-delta single crystal. By mapping the Meissner effect, we visualized superconducting regions and revealed sample inhomogeneities. Our combined magnetic and electrical measurements on the same crystal provide dual evidence of superconductivity, supporting the high-temperature superconductivity of La3Ni2O7-delta. This study also offers insights into its structural and magnetic properties under high pressure.

We studied formation of charge density wave between valleys in a system with a double-well-like dispersive valence band relevant for the rhombohedral graphene trilayer. In a regime with 2 Fermi surfaces, electron- and hole-like: one of radius $p_i$, another of $p_o$, an instability in particle-hole channel appears at $q=q_c+\delta q$, where $q_c=p_o-p_i$. In a weak coupling regime ($x/\epsilon_F\ll 1$) presence of an additional energy scale $\propto m q_c\delta q$ gives rise to several regimes with distinct spectrum and transport properties: in a regime with small order parameter $x\lessapprox m p_F \delta q$ Fermi arcs show up and substantially change conductance. At larger values of the order parameter Fermi arcs are gapped out. Regimes are also distinguished by different effective exponents $\gamma$ in conductance correction $\sigma\propto \tau_D^\gamma$ where $\tau_D$ is scattering time off disorder and $1\leq\gamma\leq 2$.

Electron-doped strontium titanate $\rm{SrTiO_3}$, known to be one of the most dilute superconductors, is investigated on the basis of the first-principles calculations. When the carrier density n decreases, the frequencies of the ferroelectric optical phonons near the $\Gamma$-point monotonically decreases in the overdoped regime with $n<10^{20}/\rm{cm}^{3}$, while unphysical imaginary phonon frequencies due to ferroelectric instabilities appear in the underdoped regime with $n>10^{20}/\rm{cm}^{3}$. We estimate the superconducting transition temperature $T_{\rm{c}}$ by using the McMillan equation in the overdoped regime and find that $T_{\rm{c}}$ increases with decreasing n as consistent with experiments in the overdoped regime. Detailed analysis of the Eliashberg function reveals that the increases in $T_{\rm{c}}$ with decreasing n in the overdoped regime is mainly due to the contributions from the ferroelectric soft-mode optical phonons.

Broken time-reversal symmetry (TRS) in superconductors can induce not only spontaneous magnetization by the finite angular momentum of Cooper pairs, but also anomalous thermal Hall effects (ATHEs), whose detection has been extremely challenging. Here we report the successful observation of an ATHE developing below the superconducting transition temperature at zero magnetic field in the kagome-lattice superconductor CsV3Sb5. This finding is verified by the absence of a signal in a conventional type-II superconductor using the same setup and by ruling out the trapped-vortex effects through micro-Hall array measurements. Remarkably, both the temperature dependence and the magnitude of the observed anomalous thermal Hall conductivity are quite different from those expected for the quantized thermal edge current of an intrinsic ATHE, but consistent with extrinsic impurity-induced ATHEs in chiral superconductivity. Our study of ATHE offers an alternative approach to probe TRS breaking in the superconducting states.

Superconductor-normal-superconductor (SC-N-SC) weak links enable Cooper-pair tunneling and serve as Josephson junctions (JJs) used in modern superconducting qubits. Conventional JJs rely on vertically stacked Al-AlOx-Al trilayers that are difficult to fabricate and are sensitive to ambient exposure. Here, we demonstrate an all-in-plane alternative by "nanosculpting" ~100 nm-wide channels into thin films of FeTe0.75Se0.25/Bi2Te3 (FTS/BT), a candidate topological superconductor, with a Si++ focusses ion beam (FIB). Systematic irradiation shows that increasing the ion dose, while keeping the beam energy constant, progressively suppresses both the critical temperature (Tc) and critical current (Ic), confirming the creation of a controllable weak link even though a Fraunhofer interference pattern is not observed. Kelvin prove force microscopy , atomic force microscopy and scanning electron microscopy corroborate the structural and electronic modification of the irradiated region. Ic (B) measurements reveal a slower field-induced decay of Ic at higher doses, indicating that irradiation-induced defects act as vortex-pinning centers that mitigate vortex motion and associated dissipation, By tuning beam energy and dose, the process shifts from SC-N-SC regime toward a superconductor-insulator-superconductor (SC-I-SC) geometry, offering a simple scalable pathway to JJ fabrication. These results established FIB pattering as a versatile platform for engineering robust, scalable fault-tolerant qubits.

There are very few materials in which ferromagnetism coexists with superconductivity due to the destructive effect of the magnetic exchange field on singlet Cooper pairs. The iron-based superconductor EuFe$_2$(As$_{1-x}$P$_x$)$_2$ is therefore unique in exhibiting robust superconductivity with a maximum critical temperature of 25 K and long-range ferromagnetism below $T_\mathrm{FM}\approx19$ K. Here we report a spatially-resolved study of the irreversible magnetisation in this system that reveals a variety of novel behaviours that are strongly linked with underlying ferromagnetic domain structures. In the superconducting-only state, hysteretic magnetisation due to irreversible vortex motion is consistent with typical weak vortex-pinning behaviour. Just below $T_\mathrm{FM}$, very narrowly-spaced stripe domains give rise to highly erratic and irreproducible fluctuations in the irreversible magnetisation that we attribute to the dynamics of multi-vortex clusters stabilised by the formation of vortex polarons. In contrast, at lower temperatures, ferromagnetic domains become wider and saturated with spontaneously nucleated vortices and antivortices, leading to a smoother but unconventional evolution of the irreversible state. This observation suggests that the penetrating flux front is roughened by the presence of the magnetic domains in this regime, presenting a clear departure from standard critical state models. Our findings indicate that the mechanism governing irreversibility is strongly influenced by the precise nature of the underlying ferromagnetic domains, being very sensitive to the specific material parameters of EuFe$_2$(As$_{1-x}$P$_x$)$_2$. We consider the possible microscopic origins of these effects, and suggest further ways to explore novel vortex-domain magnetic behaviours.

The superconducting symmetry of Sr2RuO4 has been intensely debated for many years. A crucial controversy recently emerged between shear-mode ultrasound experiments, which suggest a two-component order parameter, and some uniaxial pressure experiments that suggest a one-component order parameter. To resolve this controversy, we use a new approach to directly apply three different kinds of shear strain to single crystals of Sr2RuO4 and investigate the coupling to superconductivity. After characterising the strain by optical imaging, we observe variations of the transition temperature Tc smaller than 10mK/% as measured by low-frequency magnetic susceptibility, indicating that shear strain has little to no coupling to superconductivity. Our results are consistent with a one-component order parameter model, but such a model cannot consistently explain other experimental evidence such as time-reversal symmetry breaking, superconducting domains, and horizontal line nodes, thus calling for alternative interpretations.