Zeeman field induced topological phase transitions in triplet superconductors

Abstract

We develop a general Ginzburg-Landau theory which describes the effect of a Zeeman field on the superconducting order parameter in triplet superconductors. Starting from Ginzburg-Landau theories that describe fully gapped time-reversal symmetric triplet superconductors, we show that the Zeeman field has dramatic effects on the topological properties of the superconductors. In particular, in the vicinity of a critical chemical potential separating two topologically distinct phases, it is possible to induce a phase transition to a topologically nontrivial phase which supports chiral edge modes. Moreover, for specific directions of the Zeeman field, we obtain nodal superconducting phases with an emerging chiral symmetry, and with Majorana flat bands at the edge. The Ginzburg-Landau theory is microscopically supported by a self-consistent mean-field theory of the doped Kitaev-Heisenberg model.

References in corpus (59)

• Topological Insulators
• Topological insulators and superconductors
• Non-Abelian Anyons and Topological Quantum Computation
• Anyons in an exactly solved model and beyond
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Unpaired Majorana fermions in quantum wires
• 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
• Classification of topological insulators and superconductors in three spatial dimensions
• Topological Field Theory of Time-Reversal Invariant Insulators
• Helical liquids and Majorana bound states in quantum wires
• New directions in the pursuit of Majorana fermions in solid state systems
• Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models
• A generic new platform for topological quantum computation using semiconductor heterostructures
• Non-abelian statistics of half-quantum vortices in p-wave superconductors
• Periodic table for topological insulators and superconductors
• Search for Majorana fermions in superconductors
• Non-Abelian statistics and topological quantum information processing in 1D wire networks
• Kitaev-Heisenberg Model on Honeycomb Lattice: Possible Exotic Phases in Iridium Oxides $A_2$IrO${}_3$
• Josephson Current and Noise at a Superconductor-Quantum Spin Hall Insulator-Superconductor Junction
• Direct imaging of the coexistence of ferromagnetism and superconductivity at the LaAlO3/SrTiO3 interface
• Coexistence of Magnetic Order and Two-dimensional Superconductivity at LaAlO${}_3$/SrTiO${}_3$ Interfaces
• Introduction to topological superconductivity and Majorana fermions
• Non-Abelian Topological Order in S-Wave Superfluids of Ultracold Fermionic Atoms
• Topological Superconductivity and Superfluidity
• Topological Origin of Zero-Energy Edge States in Particle-Hole Symmetric Systems
• Topological Phases of Noncentrosymmetric Superconductors: Edge States, Majorana Fermions, and the Non-Abelian Statistics
• Symmetry and Topology in Superconductors - Odd-frequency pairing and edge states -
• Fermion zero modes on vortices in chiral superconductors
• Flux-controlled quantum computation with Majorana fermions
• Topology of Andreev Bound States with Flat Dispersion
• Fermi Surface Topological Invariants for Time Reversal Invariant Superconductors
• Flat bands in topological media
• Proposal to stabilize and detect half-quantum vortices in strontium ruthenate thin films: Non-Abelian braiding statistics of vortex matter in a $p_x+i{p}_y$ superconductor
• Topological invariants for spin-orbit coupled superconductor nanowires
• Topological odd-parity superconductors
• Topological phases and surface flat bands in superconductors without inversion symmetry
• Resonating valence bonds and mean-field d-wave superconductivity in graphite
• Topological spin-current in non-centrosymmetric superconductors
• Doping a spin-orbit Mott Insulator: Topological Superconductivity from the Kitaev-Heisenberg Model and possible application to (Na2/Li2)IrO3
• Topological properties of spin-triplet superconductors and the Fermi surface topology in the normal state
• Anomalous Andreev bound state in non-centrosymmetric superconductors
• Majorana bound states without vortices in topological superconductors with electrostatic defects
• Top-transmon: hybrid superconducting qubit for parity-protected quantum computation
• Superconductivity in Ferromagnetic RuSr2GdCu2O8
• Types of topological surface states in nodal noncentrosymmetric superconductors
• Topological invariants and interacting one-dimensional fermionic systems
• Surface density of states and topological edge states in non-centrosymmetric superconductors
• Topologically protected flat zero-energy surface bands in non-centrosymmetric superconductors
• Majorana Flat Bands and Uni-directional Majorana Edge States in Gapless Topological Superconductors
• Flat band in the core of topological defects: bulk-vortex correspondence in topological superfluids with Fermi points
• Lattice model of three-dimensional topological singlet superconductor with time-reversal symmetry
• SU(2) Slave Fermion Solution of the Kitaev Honeycomb Lattice Model
• Global phase diagram of a doped Kitaev-Heisenberg model
• Competition between d-wave and topological p-wave superconductivity in the doped Kitaev-Heisenberg model
• Quantum transport in noncentrosymmetric superconductors and thermodynamics of ferromagnetic superconductors
• Andreev spectroscopy and surface density of states for a three-dimensional time-reversal invariant topological superconductor
• Pairing state at an interface of Sr${}_2$RuO${}_4$: parity-mixing, restored time-reversal symmetry, and topological superconductivity
• Unconventional pairing and electronic dimerization instabilities in the doped Kitaev-Heisenberg model

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• Nodal Andreev Spectra in Multi-Majorana Three-Terminal Josephson Junctions
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• Non-unitary triplet superconductivity tuned by field-controlled magnetization --URhGe, UCoGe and UTe${}_2$--
• Magnetoelectrically-Tunable Andreev-Bound-State Spectra and Spin Polarization in P-Wave Josephson Junctions
• Topological superconductivity in the extended Kitaev-Heisenberg model
• Magnetic manipulation of topological states in p-wave superconductors
• Symmetry-protected topological invariant and Majorana impurity states in time-reversal-invariant superconductors
• High orbital-moment Cooper pairs by crystalline symmetry breaking
• Strong anomalous proximity effect from spin-singlet superconductors
• Inverse Proximity Effects at Spin-Triplet Superconductor-Ferromagnet Interface
• Tunable topological states hosted by unconventional superconductors with adatoms
• Control of Edge Currents at a Ferromagnet - Triplet Superconductor Interface by Multiple Helical Majorana Modes
• Robust semi-Dirac points and unconventional topological phase transitions in doped superconducting Sr2IrO4 tunnel coupled to t2g electron systems
• Magnetic exchange interaction in spin-valve with chiral spin-triplet superconductor
• Orbital angular momentum in a topological superconductor with Chern number higher than $1$