Nonmetallic thermal transport in low-dimensional proximity structures with partially preserved time-reversal symmetry in a magnetic field

Abstract

Gapped excitation spectra of Andreev states are studied in one- and two-dimensional (1D and 2D) normal systems in superconducting contacts subject to a parallel magnetic field. In the ballistic regime, a specific interplay between magnetic field spin splitting and the effect of a screening supercurrent is found to preserve time-reversal symmetry for certain groups of Andreev states remaining gapped despite the presense of the magnetic field. In 1D wires such states can lead to a fractional thermal magnetoconductance equal to half of the thermal conductance quantum. In 2D systems the thermal magnetoconductance is also predicted to remain suppressed well below the normal-state value in a wide range of magnetic fields.

21 pages, 7 figures

References in corpus (24)

• Random-Matrix Theory of Quantum Transport
• Quasiclassical Green's function approach to mesoscopic superconductivity
• Local Density of States in a Dirty Normal Metal connected to a Superconductor
• Phase coherent transport in hybrid superconducting nanostructures
• Density of states in a superconductor carrying a supercurrent
• Long-Range Coherence in a Mesoscopic Metal near a Superconducting Interface
• Proximity and Josephson effects in superconductor - two dimensional electron gas planar junctions
• Andreev Reflection in Strong Magnetic Fields
• Phase Dependent Thermopower in Andreev Interferometers
• Chaos in Andreev Billiards
• Phase Modulated Thermal Conductance of Josephson Weak Links
• Nonlinearity in NS transport: scattering matrix approach
• Heat Transport Through Josephson Point Contacts
• Quantum Andreev map: A paradigm of quantum chaos in superconductivity
• Nonequilibrium ac Josephson effect in mesoscopic Nb-InAs-Nb junctions
• Heat transport in proximity structures
• Low temperature thermal properties of mesoscopic normal-metal/superconductor heterostructures
• Magnetic field influence on the proximity effect in semiconductor - superconductor hybrid structures and their thermal conductance
• Reflectionless tunneling in ballistic normal-metal--superconductor junctions
• Conductance Anomalies for Normal-Metal-Insulator-Superconductor Contacts
• Commensurability effects in Andreev antidot billiards
• Negative Magnetoresistance in Andreev Interferometers
• Single-electron transport through the vortex core levels in clean superconductors
• Ring--Shaped Andreev Billiards in Quantizing Magnetic Fields

Cited by in corpus (15)

• Transport in two-dimensional topological materials: recent developments in experiment and theory
• Andreev rectifier: a nonlocal conductance signature of topological phase transitions
• Helical Andreev bound states and superconducting Klein tunneling in topological insulator Josephson junctions
• Finite-size effects in a nanowire strongly coupled to a thin superconducting shell
• Suppression of surface p-wave superconductivity in disordered topological insulators
• Topological superconductivity and Majorana fermions in hybrid structures involving cuprate high-T_c superconductors
• Proximity effect in a two-dimensional electron gas coupled to a thin superconducting layer
• Microscopic theory for a ferromagnetic-nanowire/superconductor heterostructure: Transport, fluctuations and topological superconductivity
• Hard gap in a normal layer coupled to a superconductor
• Electrically controllable spin filtering based on superconducting helical states
• A novel superconducting-velocity--tunable quasiparticle state and spin relaxation in GaAs (100) quantum wells in proximity to $s$-wave superconductor
• Two-dimensional topological insulators in quantizing magnetic fields
• Chiral current-phase relation of topological Josephson junctions: A signature of the $4\pi$-periodic Josephson effect
• Soliton defects and topological $4\pi$-periodic superconductivity from an orbital magnetic field effect in edge Josephson junctions
• Andreev Reflection without Fermi surface alignment in High T${}_c$-Topological heterostructures