Topological quantum phase transitions and edge states in spin-orbital coupled Fermi gases

Abstract

We study the superconducting state in the presence of spin-orbital coupling and the Zeeman field. It is found that a phase transition from the Fulde-Ferrell-Larkin-Ovchinnikov state to the topological superconducting state occurs upon increasing the spin-orbital coupling. The nature of this topological phase transition and its critical property are investigated numerically. Physical properties of topological superconducting phase are also explored. Moreover, the local density of states is calculated, through which the topological feature may be tested experimentally.

11 pages, 8 figures

References in corpus (20)

• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Classification of topological insulators and superconductors in three spatial dimensions
• Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
• Observation of Majorana Fermions in a Nb-InSb Nanowire-Nb Hybrid Quantum Device
• Spin-Injection Spectroscopy of a Spin-Orbit Coupled Fermi Gas
• Non-Abelian Topological Order in S-Wave Superfluids of Ultracold Fermionic Atoms
• Non-Abelian quantum order in spin-orbit-coupled semiconductors: The search for topological Majorana particles in solid state systems
• $p_x+i{p}_y$ superfluid from s-wave interactions of fermionic cold atoms
• Evidence for Superfluidity of Ultracold Fermions in an Optical Lattice
• Topological Fulde-Ferrel-Larkin-Ovchinnikov states in Spin-orbit Coupled Fermi Gases
• Fulde-Ferrell-Larkin-Ovchinnikov state in a perpendicular field of quasi two-dimensional CeCoIn5
• Topological Superfluids with Finite Momentum Pairing and Majorana Fermions
• Chiral Rashba spin textures in ultra-cold Fermi gases
• Majorana fermions in one-dimensional spin-orbit coupled Fermi gases
• Robustness of Majorana Modes and Minigaps in a Spin-Orbit-Coupled Semiconductor-Superconductor Heterostructure
• Exact solutions for a type of electron pairing model with spin-orbit interactions and Zeeman coupling
• Unconventional Fulde-Ferrell-Larkin-Ovchinnikov pairing states in a Fermi gas with spin-orbit coupling
• Topological Uniform Superfluid and FFLO Phases in 3D to 1D crossover of spin-orbit coupled Fermi gases

Cited by in corpus (4)

• Superconductivity in doped inversion-symmetric Weyl semimetals
• Critical magnetic field of ultrathin superconducting films and interfaces
• Charge-impurity-induced Majorana fermions in topological superconductors
• Detecting competing orders through the edge states in the heterostructures with high-Tc superconductors