First- and Second-Order Topological Superconductivity and Temperature-Driven Topological Phase Transitions in the Extended Hubbard Model with Spin-Orbit Coupling

Abstract

The combination of spin-orbit coupling with interactions results in many exotic phases of matter. In this Letter, we investigate the superconducting pairing instability of the two-dimensional extended Hubbard model with both Rashba and Dresselhaus spin-orbit coupling within the mean-field level at both zero and finite temperature. We find that both first- and second-order time-reversal symmetry breaking topological gapped phases can be achieved under appropriate parameters and temperature regimes due to the presence of a favored even-parity $s+id$-wave pairing even in the absence of an external magnetic field or intrinsic magnetism. This results in two branches of chiral Majorana edge states on each edge or a single zero-energy Majorana corner state at each corner of the sample. Interestingly, we also find that not only does tuning the doping level lead to a direct topological phase transition between these two distinct topological gapped phases, but also using the temperature as a highly controllable and reversible tuning knob leads to different direct temperature-driven topological phase transitions between gapped and gapless topological superconducting phases. Our findings suggest new possibilities in interacting spin-orbit coupled systems by unifying both first- and higher-order topological superconductors in a simple but realistic microscopic model.

arXiv comment8 pages, 3 figures, plus Supplemental Material

References in corpus (91)

• Topological Insulators
• Topological insulators and superconductors
• Fault-tolerant quantum computation by anyons
• Non-Abelian Anyons and Topological Quantum Computation
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Unpaired Majorana fermions in quantum wires
• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
• Helical liquids and Majorana bound states in quantum wires
• Classification of topological quantum matter with symmetries
• New directions in the pursuit of Majorana fermions in solid state systems
• New Perspectives for Rashba Spin-Orbit Coupling
• Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
• Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
• Quantized Electric Multipole Insulators
• A generic new platform for topological quantum computation using semiconductor heterostructures
• Non-abelian statistics of half-quantum vortices in p-wave superconductors
• Observation of Majorana Fermions in a Nb-InSb Nanowire-Nb Hybrid Quantum Device
• Higher-Order Topological Insulators
• Superconductivity in Iron Compounds
• Electric Multipole Moments, Topological Multipole Moment Pumping, and Chiral Hinge States in Crystalline Insulators
• Majorana fermions in a tunable semiconductor device
• Observation of the fractional ac Josephson effect: the signature of Majorana particles
• Mott physics and band topology in materials with strong spin-orbit interaction
• Topolectrical circuit realization of topological corner modes
• Reflection symmetric second-order topological insulators and superconductors
• Observation of a phononic quadrupole topological insulator
• Realizing Majorana zero modes in superconductor-semiconductor heterostructures
• Spin-orbit coupling in quantum gases
• Superconducting 2D system with lifted spin degeneracy: Mixed singlet-triplet state
• Higher-order topological insulators and semimetals on the breathing Kagome and pyrochlore lattices
• Higher-Order Topology in Bismuth
• Demonstration of a quantized microwave quadrupole insulator with topologically protected corner states
• Odd-Parity Topological Superconductors: Theory and Application to Cu${}_x$Bi${}_2$Se${}_3$
• Evidence for Majorana bound state in an iron-based superconductor
• Non-Abelian Topological Order in S-Wave Superfluids of Ultracold Fermionic Atoms
• Superconductivty without inversion symmetry: MnSi versus CePt_3Si
• Observation of Majorana fermions with spin selective Andreev reflection in the vortex of topological superconductor
• Higher-order topological insulators and superconductors protected by inversion symmetry
• Quantized Majorana conductance
• Observation of second-order topological insulators in sonic crystals
• Fermion zero modes on vortices in chiral superconductors
• Tuning spin-orbit coupling and superconductivity at the SrTiO3/LaAlO3 interface: a magneto-transport study
• Second-order topological insulators and superconductors with an order-two crystalline symmetry
• $p_x+i{p}_y$ superfluid from s-wave interactions of fermionic cold atoms
• Topological Quantum Computation Based on Chiral Majorana Fermions
• Majorana corner modes in a high-temperature platform
• Fermi Surface Topological Invariants for Time Reversal Invariant Superconductors
• Time Reversal Invariant Topological Superconductivity and Majorana Kramers Pairs
• Topological odd-parity superconductors
• Thermodynamic evidence for nematic superconductivity in Cu${}_x$Bi${}_2$Se${}_3$
• High-Temperature Majorana Corner States
• Higher Order Topological Phases: A General Principle of Construction
• Weak-Pairing Higher Order Topological Superconductors
• Majorana Kramers pairs in higher-order topological insulators
• An anomalous higher-order topological insulator
• Tunable Majorana corner states in a two-dimensional second-order topological superconductor induced by magnetic fields
• Pairing State with a time-reversal symmetry breaking in FeAs based superconductors
• Majorana corner states in a two-dimensional magnetic topological insulator on a high-temperature superconductor
• Second Order Topological Superconductivity in $\pi$-Junction Rashba Layers
• Higher Order Topology and Nodal Topological Superconductivity in Fe(Se,Te) Heterostructures
• Helical Hinge Majoranas in Iron-Based Superconductors
• Majorana Kramers Doublets in $d_{x^2-y^2}$-wave Superconductors with Rashba Spin-Orbit Coupling
• Higher-order topological odd-parity superconductors
• Probing non-Abelian statistics of Majorana fermions in ultracold atomic superfluid
• Second-order Topological Superconductors with Mixed Pairing
• Topological superconductivity and unconventional pairing in oxide interfaces
• Inversion-protected higher order topological superconductivity in monolayer WTe${}_2$
• Second-order Dirac superconductors and magnetic field induced Majorana hinge modes
• Chiral Rashba spin textures in ultra-cold Fermi gases
• In-plane Zeeman field induced Majorana corner and hinge modes in an $s$-wave superconductor heterostructure
• Searching for Majorana Fermions in 2D Spin-orbit Coupled Fermi Superfluids at Finite Temperature
• Lattice symmetry assisted second order topological superconductors and Majorana patterns
• Majorana corner and hinge modes in second-order topological insulator-superconductor heterostructures
• Proximity-induced Majorana hinge modes in antiferromagnetic topological insulators
• Topological superfluid in one-dimensional spin-orbit coupled atomic Fermi gases
• Higher-Order Topological Superconductivity of Spin-Polarized Fermions
• Phase tunable second-order topological superconductor
• Fractional Topological Superconductivity and Parafermion Corner States
• Higher-order topological superconductivity: possible realization in Fermi gases and Sr${}_2$RuO${}_4$
• Vortex and Surface Phase Transitions in Superconducting Higher-order Topological Insulators
• Majorana corner modes with solitons in an attractive Hubbard-Hofstadter model of cold atom optical lattices
• Detection of second-order topological superconductors by Josephson junctions
• Superconductivity without inversion and time-reversal symmetries
• Influence of Spin Orbit Coupling in the Iron-Based Superconductors
• Majorana corner flat bands in two-dimensional second-order topological superconductors
• Mechanism for unconventional superconductivity in the hole-doped Rashba-Hubbard model
• Topological Superfluid and Majorana Zero Modes in Synthetic Dimension
• Self-consistent study of Abelian and non-Abelian order in a two-dimensional topological superconductor
• Critical Temperature Enhancement of Topological Superconductors: A Dynamical Mean Field Study

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• Spin-Orbit-Induced Topological Flat Bands in Line and Split Graphs of Bipartite Lattices
• Higher-order topological phases on fractal lattices
• Field-Tunable One-Sided Higher-Order Topological Hinge States in Dirac Semimetals
• Higher-order topological phases in crystalline and non-crystalline systems: a review
• Vortex-line topology in iron-based superconductors with and without second-order topology
• Higher-order topological superconductors based on weak topological insulators
• Tunable Majorana corner modes in noncentrosymmetric superconductors: Tunneling spectroscopy and edge imperfections
• Aspects of topological superconductivity in 2D systems: noncollinear magnetism, skyrmions, and higher-order topology
• Higher-order topological phases emerging from the Su-Schrieffer-Heeger stacking
• Bulk-boundary correspondence in disordered higher-order topological insulators
• Corner- and sublattice-sensitive Majorana zero modes on the kagome lattice
• Sublattice-enriched tunability of bound states in second-order topological insulators and superconductors
• Unified characterization for higher-order topological phase transitions
• Braiding higher-order Majorana corner states through their spin degree of freedom
• Boundary Topological Superconductors
• Nodal higher-order topological superconductivity from a ${\mathcal{C}}_4$-symmetric Dirac semimetal
• Surface Bogoliubov-Dirac cones and helical Majorana hinge modes in superconducting Dirac semimetals
• Chiral Majorana Hinge Modes in Superconducting Dirac Materials
• Majorana corner states on the dice lattice
• Sublattice-sensitive Majorana Modes
• High-temperature Majorana corner modes in a $d+i{d}^{\prime }$ superconductor heterostructure: Application to twisted bilayer cuprate superconductors
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• Rotational symmetry breaking and partial Majorana corner states in a high-Tc superconductor based heterostructure
• Two-particle bound states on a lattice
• Majorana corner modes and flat-band Majorana edge modes in superconductor/topological-insulator/superconductor junctions
• Multiorder topological superfluid phase transitions in a two-dimensional optical superlattice
• Tunable boson-assisted finite-range interaction and engineering Majorana corner modes in optical lattices
• Interaction-driven first-order and higher-order topological superconductivity
• Effect of local Coulomb interaction on Majorana corner modes: weak and strong correlation limits
• Exploring High-Temperature Superconductivity in the Extended Hubbard Model with Antiferromagnetic Tendencies
• Unveiling Higher-Order Topology via Polarized Topological Charges
• Controlling Majorana modes by $p$-wave pairing in two-dimensional $p+id$ topological superconductors
• Superfluid transition temperature and fluctuation theory of spin-orbit and Rabi-coupled fermions with tunable interactions
• Boundary obstructed topological superconductor in buckled honeycomb lattice under perpendicular electric field
• Higher-order topological superconductor phases in a multilayer system
• Effects of first- and second-order topological phases on equilibrium crystal shapes
• Tunable Majorana corner modes by orbital-dependent exchange interaction in a two-dimensional topological superconductor
• Majorana corner states in an attractive quantum spin Hall insulator with opposite in-plane Zeeman energy at two sublattice sites
• Hinge Majorana Flat Band in Type-II Dirac Semimetals
• Tunable symmetry-protected higher-order topological states with fermionic atoms in bilayer optical lattices
• Mixed-parity octupolar pairing and corner Majorana modes in three dimensions
• Topological phases in twisted Rashba superconductors
• Boundary topological insulators and superconductors of Altland-Zirnbauer tenfold classes
• Engineering Majorana Kramers Pairs In Synthetic High Spin Chern Insulators
• Mixed-symmetry superconductivity and the energy gap
• Proposal for realizing and probing topological crystalline insulators in optical lattices