Generalized real-space Chern number formula and entanglement hamiltonian
Ruihua Fan, Pengfei Zhang, Yingfei Gu
Abstract
We generalize a real-space Chern number formula for gapped free fermions to higher orders. Using the generalized formula, we prove recent proposals for extracting thermal and electric Hall conductance from the ground state via the entanglement Hamiltonian in the special case of non-interacting fermions, providing a concrete example of the connection between entanglement and topology in quantum phases of matter.
Topics & Concepts
Quantum entanglementHamiltonian (control theory)Connection (principal bundle)FermionPhysicsGround stateQuantum mechanicsTopology (electrical circuits)Mathematical physicsChern classTheoretical physicsQuantumMathematicsPure mathematicsGeometryCombinatoricsMathematical optimizationQuantum many-body systemsTopological Materials and PhenomenaQuantum and electron transport phenomena