Symmetry analysis of transport properties in helical superconductor junctions

Abstract

We study discrete symmetries satisfied by helical $p$-wave superconductors with d-vectors $k_x\hat{x}\pm k_y\hat{y}$ or $k_y\hat{x}\pm k_x\hat{y}$ and transformations brought by the symmetry operations to ferromagnet and spin-singlet superconductors, which show intimate associations with transport properties in heterojunctions including helical superconductor. Especially, the partial symmetries of the Hamiltonian under the spin-rotation and gauge-rotation operations are responsible for novel invariances of the conductance in tunnel junctions and new selection rules of the lowest current and peculiar phase diagrams in Josephson junctions which are reported recently. The symmetries of constructed free energies for Josephson junctions are also analyzed which are consistent with the results from Hamiltonian.

arXiv comment24 pages, 7 figures

References in corpus (43)

• Topological Insulators
• Topological insulators and superconductors
• $Z_2$ Topological Order and the Quantum Spin Hall Effect
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Classification of topological insulators and superconductors in three spatial dimensions
• Classification of topological quantum matter with symmetries
• Quantum Spin Hall Effect
• Search for Majorana fermions in superconductors
• Heavy fermion superconductivity and magnetic order in non-centrosymmetric $CeP{t}_{3}Si$
• Josephson Current and Noise at a Superconductor-Quantum Spin Hall Insulator-Superconductor Junction
• Topological Crystalline Insulators and Topological Superconductors: From Concepts to Materials
• Topological Superconductivity and Superfluidity
• Probing Neutral Majorana Fermion Edge Modes with Charge Transport
• Symmetry and Topology in Superconductors - Odd-frequency pairing and edge states -
• Manipulation of Majorana fermion, Andreev reflection and Josephson current on topological insulators
• Evaluation of Spin-Triplet Superconductivity in Sr2RuO4
• Unconventional superconductivity on a topological insulator
• Fractional ac Josephson effect in p- and d-wave superconductors
• Topology of Andreev Bound States with Flat Dispersion
• Classification of Topological Insulators and Superconductors
• Josephson ${\phi }_0$-junction in nanowire quantum dots
• Random-matrix theory of Majorana fermions and topological superconductors
• Anomalous Josephson effect induced by spin-orbit interaction and Zeeman effect in semiconductor nanowires
• Anomalous Josephson Current in Junctions with Spin-Polarizing Quantum Point Contacts
• Anomalous Josephson current through a spin-orbit coupled quantum dot
• Spontaneous Hall effect in chiral p-wave superconductor
• Fermion-parity anomaly of the critical supercurrent in the quantum spin-Hall effect
• Topological Josephson ${\varphi }_0$-junctions
• Majorana Fermions and Odd-frequency Cooper Pairs in a Nano Wire
• Fermion Fractionalization to Majorana Fermions in Dimerized Kitaev Superconductor
• Symmetry Protected Topological Superfluids and Superconductors --- From the Basics to ${}^3$He ---
• Nodal Structure of Superconductors with Time-Reversal Invariance and Z2 Topological Number
• Temperature-dependence of spin-polarized transport in ferromagnet / unconventional superconductor junctions
• The scattering problem in non-equilibrium quasiclassical theory of metals and superconductors: general boundary conditions and applications
• Topological Phase Transition without Gap Closing
• Spin current and spin accumulation near a Josephson junction between a singlet and triplet superconductor
• Evidence for Majorana bound states in transport properties of hybrid structures based on helical liquids
• Charge and spin supercurrents in triplet superconductor--ferromagnet--singlet superconductor Josephson junctions
• Switching the sign of Josephson current through Aharonov-Bohm interferometry
• Symmetry-protected topological invariant and Majorana impurity states in time-reversal-invariant superconductors
• Detecting Majorana fermions by use of superconductor-quantum Hall liquid junctions
• Tunable ground states in helical $p$-wave Josephson junctions
• Josephson effect in spin-singlet superconductor/ferromagnetic insulator/spin-triplet superconductor junctions with helical $p$-wave states

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• Field-free Josephson diode effect in altermagnet/normal metal/altermagnet junctions
• Josephson diode based on conventional superconductors and a chiral quantum dot
• Spin-triplet superconductor$-$quantum anomalous Hall insulator$-$spin-triplet superconductor Josephson junctions: $0$-$\pi$ transition, ${\varphi }_0$ phase and switch effects
• Probing the topological character of superconductors via non-local Hanbury-Brown and Twiss correlations