Continuous quantum phase transition between two topologically distinct valence bond solid states associated with the same spin value

Journal Article · Sat Jan 15 00:00:00 EST 2011 · Physical Review. B, Condensed Matter and Materials Physics

DOI:https://doi.org/10.1103/PHYSREVB.83.014409· OSTI ID:21538056

Dong, Zheng; Guangming, Zhang ^[1]; Tao, Xiang ^[2]; Lee, Dung-Hai ^[3]

---

1. Department of Physics, Tsinghua University, Beijing 100084 (China)
2. Institute of Physics, Chinese Academy of Sciences, Beijing 100190 (China)
3. Department of Physics, University of California at Berkeley, Berkeley, California 94720 (United States)

We propose a one-dimensional quantum Heienberg spin-2 chain, which exhibits two topologically distinct valence bond solid states in two different solvable limits. We then construct the phase diagram and study the quantum phase transition between these two states using infinite time evolving block decimation algorithms. From the scaling relation between the entanglement entropy and the correlation length, we determine that the central charge for the underlying critical conformal field theory is around two.

• OSTI ID: 21538056
• Journal Information: Physical Review. B, Condensed Matter and Materials Physics, Vol. 83, Issue 1; Other Information: DOI: 10.1103/PhysRevB.83.014409; (c) 2011 American Institute of Physics; ISSN 1098-0121
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ALGORITHMS
CONFORMAL INVARIANCE
CORRELATIONS
ENTROPY
ONE-DIMENSIONAL CALCULATIONS
PHASE DIAGRAMS
PHASE TRANSFORMATIONS
QUANTUM ENTANGLEMENT
QUANTUM FIELD THEORY
QUANTUM STATES
SCALING
SOLIDS
SPIN
VALENCE
ANGULAR MOMENTUM
DIAGRAMS
FIELD THEORIES
INFORMATION
INVARIANCE PRINCIPLES
MATHEMATICAL LOGIC
PARTICLE PROPERTIES
PHYSICAL PROPERTIES
THERMODYNAMIC PROPERTIES