Die u:cris Detailansicht:
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