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RESEARCH PRODUCT
Renormalization group flows for Wilson-Hubbard matter and the topological Hamiltonian
Matteo RizziEmanuele TirritoMaciej LewensteinGermán SierraAlejandro Bermudezsubject
PhysicsPhase transitionQuantum PhysicsStrongly Correlated Electrons (cond-mat.str-el)FOS: Physical sciences02 engineering and technologyRenormalization group021001 nanoscience & nanotechnologyTopology01 natural sciencesMatrix multiplicationsymbols.namesakeCondensed Matter - Strongly Correlated ElectronsQuantum Gases (cond-mat.quant-gas)Topological insulator0103 physical sciencessymbolsddc:530Quantum Physics (quant-ph)010306 general physics0210 nano-technologyHamiltonian (quantum mechanics)Condensed Matter - Quantum Gasesdescription
Understanding the robustness of topological phases of matter in the presence of interactions poses a difficult challenge in modern condensed matter, showing interesting connections to high energy physics. In this work, we leverage these connections to present a complete analysis of the continuum long-wavelength description of a generic class of correlated topological insulators: Wilson-Hubbard topological matter. We show that a Wilsonian renormalization group (RG) approach, combined with the so-called topological Hamiltonian, provide a quantitative route to understand interaction-induced topological phase transitions that occur in Wilson-Hubbard matter. We benchmark two-loop RG predictions for a quasi-1D Wilson-Hubbard model by means of exhaustive numerical simulations based on matrix product states (MPS). The agreement of the RG predictions with MPS simulations motivates the extension of the RG calculations to higher-dimensional topological insulators.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2019-03-06 |