Paramagnetic instability of small topological superconductors

Abstract

Although the diamagnetism is of the essence in the superconducting phenomena, small enough topological (or unconventional) superconductors are paramagnetic. By solving the quasiclassical Eilenberger equation and the Maxwell equation self-consistently in two-dimensional disks, we theoretically study the response of small superconductors to weak magnetic field. Because of the topologically nontrivial character of the wave function, the unconventional superconductor hosts the zero-energy surface Andreev bound states which always accompany the odd-frequency Cooper pairs. The paramagnetic property of the odd-frequency pairs explains the unusual Meissner effect at low temperature.

5 pages, 5 figures

References in corpus (5)

• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Theory of the proximity effect in junctions with unconventional superconductors
• Majorana Fermions and Odd-frequency Cooper Pairs in a Nano Wire
• Odd-frequency pairing effect on the superfluid density and the Pauli spin susceptibility in spatially nonuniform spin-singlet superconductors
• Strong surface contribution to the Nonlinear Meissner Effect

Cited by in corpus (49)

• Odd-frequency superconductivity
• Symmetry Protected Topological Superfluids and Superconductors --- From the Basics to ${}^3$He ---
• Odd-frequency superconducting states with different types of Meissner response: Problem of coexistence
• Odd-frequency Cooper pairs in two-band superconductors and their magnetic response
• Spontaneously broken time-reversal symmetry in high-temperature superconductors
• Spontaneous edge current in a small chiral superconductor with a rough surface
• Effects of surface roughness on the paramagnetic response of small unconventional superconductors
• Quantization of Conductance Minimum and Index Theorem
• Odd-frequency superconductivity in a nanowire coupled to Majorana zero modes
• Odd-Frequency Pairs in Chiral Symmetric Systems: Spectral Bulk-Boundary Correspondence and Topological Criticality
• Odd-frequency pairing and proximity effect in Kitaev chain systems including topological critical point
• Anisotropic Paramagnetic Meissner Effect by Spin-Orbit Coupling
• Spontaneously broken translational symmetry at edges of high-temperature superconductors: thermodynamics in magnetic field
• Consequences of bulk odd-frequency superconducting states for the classification of Cooper pairs
• Bulk odd-frequency pairing in the superconducting Su-Schrieffer-Heeger model
• Theory of proximity effect in two-dimensional unconventional superconductor with Rashba spin-orbit interaction
• Josephson effect in two-band superconductors
• Breaking time-reversal and translational symmetry at edges of $d$-wave superconductors: microscopic theory and comparison with quasiclassical theory
• Symmetry conditions of a nodal superconductor for generating robust flat-band Andreev bound states at its dirty surface
• Quasiparticle on Bogoliubov Fermi Surface and Odd-Frequency Cooper Pair
• Spontaneous symmetry-breaking at surfaces of $d$-wave superconductors: influence of geometry and surface ruggedness
• Proximity effect in a ferromagnetic semiconductor with spin-orbit interactions
• Green function theory of dirty two-band superconductivity
• Oscillating paramagnetic Meissner effect and Berezinskii-Kosterlitz-Thouless transition in $B{i}_{2}S{r}_{2}CaC{u}_2{O}_{8+\delta }$ monolayer
• Effects of the phase coherence on the local density of states in superconducting proximity structures
• Strong anomalous proximity effect from spin-singlet superconductors
• Local impedance on a rough surface of a chiral $p$-wave superconductor
• SuperConga: an open-source framework for mesoscopic superconductivity
• Generation of odd-frequency surface superconductivity with spontaneous spin current due to the zero-energy Andreev bound state
• Anomalous inverse proximity effect in unconventional-superconductor junctions
• Local density of states in two-dimensional topological superconductors under a magnetic field: signature of an exterior Majorana bound state
• Tunnelling conductance of $d+ip$-wave superconductor
• An odd-frequency Cooper pair around a magnetic impurity
• Enhanced chiral edge currents and orbital magnetic moment in chiral $d$-wave superconductors from mesoscopic finite-size effects
• Paramagnetic Meissner, vortex and 'onion' ground states in Fulde-Ferrell finite-size superconductor
• Spin Susceptibility of a J=3/2 Superconductor
• Discontinuous Transition to Superconducting Phase
• Josephson effect of superconductors with $J=3/2$ electrons
• Impact of impurity scattering on odd-frequency spin-triplet pairing near the edge of the Kitaev chain
• Odd-frequency pairs and anomalous proximity effect in nematic and chiral states of superconducting topological insulators
• Vortex supercurrent inversion by frequency-symmetry conversion of Cooper pairs
• Quasiparticle spectrum in mesoscopic superconducting junctions with weak magnetization
• Equal contribution of even and odd frequency pairing to transport across normal metal-superconductor junctions
• Supercurrent reversal in Zeeman-split Josephson junctions
• Impurity strength-temperature phase diagram with phase crystals and competing time-reversal symmetry breaking states in nodal $d$-wave superconductors
• DC-current induced domain wall in a chiral $p$-wave superconductor
• Low-temperature anomaly and anisotropy of critical magnetic fields in transition-metal dichalcogenide superconductors
• Magnetic field induced global paramagnetic response in Fulde-Ferrell superconducting strip
• Chiral Current Inversion Induced by Flat-Band Andreev Bound States