Symmetry breaking and criticality in tensor-product states

Autor(en)

Chen Liu, Ling Wang, Anders W. Sandvik, Yu-Cheng Su, Ying-Jer Kao

Abstrakt

We discuss variationally optimized matrix-product states for the transverse-field Ising chain using D x D matrices with small D is an element of {2-10}. For finite system size N there are energy minimums for symmetric as well as symmetry-broken states, which cross each other at a field value h(c)(N,D); thus the transition is first order. A continuous transition develops as N ->infinity. The asymptotic critical behavior is then always of mean-field type (the magnetization exponent beta=1/2) but a window of field strengths where true Ising scaling holds (beta=1/8) emerges with increasing D. We also demonstrate asymptotic mean-field behavior for infinite-size two-dimensional tensor-product (iPEPS) states with small tensors. The behaviors should be generic at symmetry-breaking transitions.

Organisation(en)

Quantenoptik, Quantennanophysik und Quanteninformation

Externe Organisation(en)

Boston University, National Taiwan University

Journal

Physical Review B

Band

82

Anzahl der Seiten

4

ISSN

1098-0121

DOI

https://doi.org/10.1103/PhysRevB.82.060410

Publikationsdatum

2010

Peer-reviewed

Ja

ÖFOS 2012

103026 Quantenoptik

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/223f1c21-4bcb-47e2-8a11-d2e8505d749a