Entanglement spectra of superconductivity ground states on the honeycomb lattice

Abstract

We analytically evaluate the entanglement spectra of the superconductivity states in graphene, primarily focusing on the s-wave and chiral $d_{x^2-y^2}+i{d}_{xy}$ 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 $d_{x^2-y^2}+i{d}_{xy}$ 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.

15 pages, 5 figures, minor changes, Ref. added

References in corpus (17)

• Classification of topological insulators and superconductors in three spatial dimensions
• Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States
• Quantum entanglement in condensed matter systems
• Identifying Topological Order by Entanglement Entropy
• Majorana Fermions and Topology in Superconductors
• Entanglement Spectrum of a Disordered Topological Chern Insulator
• Density waves and Cooper pairing on the honeycomb lattice
• Entanglement Spectrum and Entanglement Thermodynamics of Quantum Hall Bilayers at nu=1
• Momentum-Space Entanglement Spectrum of Bosons and Fermions with Interactions
• Topological Entanglement in Abelian and non-Abelian Excitation Eigenstates
• Entanglement Entropy and Spectra of the One-dimensional Kugel-Khomskii Model
• Entanglement Thermodynamics
• Trigonal Warping in Bilayer Graphene: Energy versus Entanglement Spectrum
• Entanglement Spectra of the quantum hard-square model: Holographic minimal models
• Entanglement Spectrum as a Probe for the Topology of a Spin-Orbit Coupled Superconductor
• Entanglement Spectra of Heisenberg Ladders of higher Spin
• Entanglement Chern number for an extensive partition of a topological ground state

Cited by in corpus (1)

• Inducing chiral superconductivity on honeycomb lattice systems