Spontaneous loop-spin current with topological characters in the Hubbard model
arXiv:1405.3808 · doi:10.1103/PhysRevB.90.075102
Abstract
We find a state characterized by a spontaneous loop-spin current and a single-particle gap in the Hubbard model within the variational cluster approach. This state exists for arbitrarily small interaction in a half-filled honeycomb lattice. Moreover, from the calculations of the topological invariants for the interacting system, it is shown that this gapped state has nontrivial topological characters; this state is the topological Mott insulating state. This result implies the ubiquity of topological Mott insulating phases.
arXiv comment8 pages, 9 figures
References in corpus (27)
- Topological Insulators
- Topological insulators and superconductors
- Quantum Spin Hall Effect in Graphene
- Topological Order and the Quantum Spin Hall Effect
- Chern Numbers in Discretized Brillouin Zone: Efficient Method of Computing (Spin) Hall Conductances
- Time Reversal Polarization and a Z_2 Adiabatic Spin Pump
- An equivalent expression of Z2 Topological Invariant for band insulators using Non-Abelian Berry's connection
- Topological Mott Insulators
- Non Fermi-Liquid States and Pairing of a general Model of Copper-Oxide Metals
- Quantum spin-liquid emerging in two-dimensional correlated Dirac fermions
- A Theory of the Pseudogap State of the Cuprates
- Self-energy-functional approach to systems of correlated electrons
- Absence of a Spin Liquid Phase in the Hubbard Model on the Honeycomb Lattice
- Simplified topological invariants for interacting insulators
- Interaction-driven topological insulators on the kagome and the decorated honeycomb lattices
- Fermi liquid instabilities in the spin channel
- Detection and Implications of a Time-reversal breaking state in underdoped Cuprates
- Topological Order Parameters for Interacting Topological Insulators
- Topological insulators from complex orbital order in transition-metal oxides heterostructures
- Variational cluster approach to spontaneous symmetry breaking: The itinerant antiferromagnet in two dimensions
- Interaction driven instabilities of a Dirac semi-metal
- Dynamic generation of spin orbit coupling
- Topological Insulators from Spontaneous Symmetry Breaking Induced by Electron Correlation on Pyrochlore Lattices
- Absence of spin liquid in non-frustrated correlated systems
- Mott transition in one dimension: Benchmarking dynamical cluster approaches
- Manifestly gauge independent formulations of the Z2 invariants
- Time-reversal symmetry breaking phase in the Hubbard model: a VCA study