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Topological Hamiltonian as an exact tool for topological invariants
Binghai YanZhong Wangsubject
PhysicsSuperconductivityHigh Energy Physics - TheoryStrongly Correlated Electrons (cond-mat.str-el)FOS: Physical sciencesCondensed Matter PhysicsTopology01 natural sciences010305 fluids & plasmassymbols.namesakeCondensed Matter - Strongly Correlated ElectronsGapless playbackHigh Energy Physics - Theory (hep-th)Topological insulator0103 physical sciencessymbolsTopological invariantsGeneral Materials Science010306 general physicsHamiltonian (quantum mechanics)Mathematics::Symplectic GeometryEigenvalues and eigenvectorsdescription
We propose the concept of `topological Hamiltonian' for topological insulators and superconductors in interacting systems. The eigenvalues of topological Hamiltonian are significantly different from the physical energy spectra, but we show that topological Hamiltonian contains the information of gapless surface states, therefore it is an exact tool for topological invariants.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2012-07-31 | Journal of Physics Condensed Matter |