Entanglement spectra of superconductivity ground states on the honeycomb lattice

2016/11/30 by Sonja Predin, John Schliemann · 2 citations
Materials Science · Physics and Astronomy · #Fermion #Graphene research and applications #Hamiltonian (control theory) #Lattice (music) #Quantum entanglement #Quantum many-body systems #Spectral line #Superconductivity #Topological Materials and Phenomena #cond-mat.mes-hall #quant-ph

paper · pdf · doi:10.1140/epjb/e2017-80304-4

published in The European Physical Journal B 90(12) (Springer Science+Business Media) · 15 pages, 5 figures, minor changes, Ref. added

openalex created_date 2016/11/11 · arxiv created 2017/09/20 · openalex publication_date 2017/12/01 · arxiv updated 2017/12/12 · openalex updated_date 2026/08/05

Abstract

We analytically evaluate the entanglement spectra of the superconductivity states in graphene, primarily focusing on the s-wave and chiral d_x²-y²+id_xy superconductivity states. We demonstrate that the topology of the entanglement Hamiltonian can differ from that of the subsystem Hamiltonian. In particular, the topological properties of the entanglement Hamiltonian of the chiral d_x²-y²+id_xy superconductivity state obtained by tracing out one spin direction clearly differ from those of the time-reversal invariant Hamiltonian of noninteracting fermions on the honeycomb lattice.

Citations

• Momentum-Space Entanglement Spectrum of Bosons and Fermions with Interactions
• Inversion-symmetric topological insulators
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