Constructing a Gapless Spin-Liquid State for the Spin-1/2 J(1)-J(2) Heisenberg Model on a Square Lattice

Autor(en)

Ling Wang, Didier Poilblanc, Zheng-Cheng Gu, Xiao-Gang Wen, Frank Verstraete

Abstrakt

We construct a class of projected entangled pair states which is exactly

the resonating valence bond wave functions endowed with both short

range and long range valence bonds. With an energetically preferred

resonating valence bond pattern, the wave function 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 an even or odd number of fluxes penetrating the cylinder and an

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.

Organisation(en)

Quantenoptik, Quantennanophysik und Quanteninformation

Externe Organisation(en)

Université Toulouse III Paul Sabatier, California Institute of Technology (Caltech), Perimeter Institute for Theoretical Physics, Massachusetts Institute of Technology, Tsinghua University

Journal

Physical Review Letters

Band

111

Anzahl der Seiten

5

ISSN

0031-9007

DOI

https://doi.org/10.1103/PhysRevLett.111.037202

Publikationsdatum

07-2013

Peer-reviewed

Ja

ÖFOS 2012

103025 Quantenmechanik, 103019 Mathematische Physik

Schlagwörter

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/7f927b6d-8574-4d12-9681-7c7db3f2c1bc