Constructing gapless spin liquid state for the spin-1/2 J1-J2 Heisenberg model on a square lattice - Laboratoire de Physique Théorique - LPT Accéder directement au contenu
Article Dans Une Revue Physical Review Letters Année : 2013

Constructing gapless spin liquid state for the spin-1/2 J1-J2 Heisenberg model on a square lattice

Résumé

We construct a class of projected entangled pair states (PEPS) which is exactly the resonating valence bond (RVB) wavefunctions endowed with both short range and long range valence bonds. With an energetically preferred RVB pattern, the wavefunction is simplified to live in a one parameter variational space. We tune this variational parameter to minimize the energy for the frustrated spin 1/2 J1-J2 antiferromagnetic Heisenberg model on the square lattice. Taking a cylindrical geometry, we are able to construct four topological sectors with even or odd number of fluxes penetrating the cylinder and even or odd number of spinons on the boundary. The energy splitting in different topological sectors is exponentially small with the cylinder perimeter. We find a power law decay of the dimer correlation function on a torus, and a lnL correction to the entanglement entropy, indicating a gapless spin liquid phase at the optimum parameter.

Dates et versions

hal-00856628 , version 1 (02-09-2013)

Identifiants

Citer

Ling Wang, Didier Poilblanc, Zheng-Cheng Gu, Xiao-Gang Wen, Frank Verstraete. Constructing gapless spin liquid state for the spin-1/2 J1-J2 Heisenberg model on a square lattice. Physical Review Letters, 2013, 111, pp.037202. ⟨10.1103/PhysRevLett.111.037202⟩. ⟨hal-00856628⟩
74 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More