Quantum spin Hall insulator in proximity with a superconductor: Transition to the Fulde-Ferrell-Larkin-Ovchinnikov state driven by a Zeeman field
arXiv:2305.17229 · doi:10.1103/PhysRevB.108.L161403
Abstract
We investigate the effects of introducing a boost (a Zeeman field parallel to the spin quantization axis) at the proximitized helical edge of a two-dimensional (2D) quantum spin Hall insulator. Our self-consistent analysis finds that a Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) superconducting phase may emerge at the edge when the boost is larger than a critical value tied to the induced pairing gap. A non-trivial consequence of retaining the 2D bulk in the model is that this boundary FFLO state supports a finite magnetization as well as finite current (flowing along the edge). This has implications for a proper treatment of the ultra-violet cutoff in analyses employing the effective one-dimensional (1D) helical edge model. Our results may be contrasted with previous studies of such 1D models, which found that the FFLO phase either does not appear for any value of the boost (in non-self-consistent calculations), or that it self-consistently appears even for infinitesimal boost, but carries no current and magnetization.
arXiv comment7 pages, 5 figures
References in corpus (35)
- Topological insulators and superconductors
- Quantum Spin Hall Effect in Graphene
- Fault-tolerant quantum computation by anyons
- Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
- Non-Abelian Anyons and Topological Quantum Computation
- Topological Order and the Quantum Spin Hall Effect
- Quantum Spin Hall Insulator State in HgTe Quantum Wells
- Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
- Unpaired Majorana fermions in quantum wires
- Helical liquids and Majorana bound states in quantum wires
- New directions in the pursuit of Majorana fermions in solid state systems
- A generic new platform for topological quantum computation using semiconductor heterostructures
- Search for Majorana fermions in superconductors
- Topological superconductors: a review
- Josephson Current and Noise at a Superconductor-Quantum Spin Hall Insulator-Superconductor Junction
- Quantum Spin Hall Effect in Inverted Type II Semiconductors
- The Helical Liquid and the Edge of Quantum Spin Hall Systems
- Stability of the quantum spin Hall effect: effects of interactions, disorder, and Z_2 topology
- Symmetry and Topology in Superconductors - Odd-frequency pairing and edge states -
- Odd-frequency pairing in normal metal/superconductor junctions
- Non-Majorana states yield nearly quantized conductance in superconductor-semiconductor nanowire devices
- Disorder-induced zero-bias peaks in Majorana nanowires
- Topological Josephson -junctions
- Stabilization of Quantum Spin Hall Effect by Designed Removal of Time-Reversal Symmetry of Edge States
- Disorder effects on Majorana zero modes: Kitaev chain versus semiconductor nanowire
- Topological Superconductivity Mediated by Skyrmionic Magnons
- Chiral Interface States and Related Quantized Transport in Disordered Chern Insulators
- On-demand large-conductance in trivial zero-bias tunneling peaks in Majorana nanowires
- Chiral Majorana edge states in HgTe quantum wells
- FFLO or Majorana superfluids: The fate of fermionic cold atoms in spin-orbit coupled optical lattices
- Magnetic Flux Periodicity in Second Order Topological Superconductors
- Fulde-Ferrell States in Inverse Proximity Coupled Magnetically-Doped Topological Heterostructures
- Edge-induced pairing states in a Josephson junction through a spin-polarized quantum anomalous Hall insulator
- Chiral detection of Majorana bound states at the edge of a quantum spin Hall insulator
- Topological bulk states and their currents