Absence of topological degeneracy in the Hubbard model on honeycomb lattice

Abstract

It is shown that the unique sign structure of the ground state of the Hubbard model on honeycomb lattice, which is shown to be insensitive to the trapped $Z_2$ gauge flux when the system is defined on a torus, may cause the absence of topological degeneracy on this bipartite system. Examples of variational Mott insulating state on the honeycomb lattice are given to illustrate the close relation between the sign structure of the ground state and the (absence of) topological degeneracy.

5 pages

References in corpus (5)

• Quantum spin-liquid emerging in two-dimensional correlated Dirac fermions
• Schwinger Boson Mean Field Theories of Spin Liquid States on Honeycomb Lattice: Projective Symmetry Group Analysis and Critical Field Theory
• Fractionalization, topological order, and quasiparticle statistics
• Majorana liquids: the complete fractionalization of the electron
• Topological Order in Gutzwiller Projected Wave Functions for Quantum Antiferromagnets

Cited by in corpus (7)

• Absence of a Spin Liquid Phase in the Hubbard Model on the Honeycomb Lattice
• Phase diagram of spin-1/2 J1-J2 Heisenberg model on honeycomb lattice
• Competing orders in the 2D half-filled SU(2N) Hubbard model through the pinning field quantum Monte-Carlo simulations
• The intermediate and spin-liquid phase of the half-filled honeycomb Hubbard model
• Gapped spin liquid phase in the J1-J2 Heisenberg model by a Bosonic resonating valence-bond ansatz
• An efficient Monte Carlo algorithm for the evaluation of Renyi entanglement entropy of a general quantum dimer model at the R-K point
• Topological entanglement entropy in Gutzwiller projected spin liquids