Infinite matrix product states, conformal field theory, and the Haldane-Shastry model

Journal Article · Mon Mar 01 04:00:00 EST 2010 · Physical Review. B, Condensed Matter and Materials Physics

DOI:https://doi.org/10.1103/PHYSREVB.81.104431· OSTI ID:21366700

Cirac, J Ignacio ^[1]; Sierra, German ^[1]

---

1. Max-Planck-Institut fuer Quantenoptik, Hans-Kopfermannstrasse 1, D-85748 Garching (Germany)

We generalize the matrix product states method using the chiral vertex operators of conformal field theory and apply it to study the ground states of the XXZ spin chain, the J{sub 1}-J{sub 2} model and random Heisenberg models. We compute the overlap with the exact wave functions, spin-spin correlators, and the Renyi entropy, showing that critical systems can be described by this method. For rotational invariant ansatzs we construct an inhomogenous extension of the Haldane-Shastry model with long-range exchange interactions.

• OSTI ID: 21366700
• Journal Information: Physical Review. B, Condensed Matter and Materials Physics, Journal Name: Physical Review. B, Condensed Matter and Materials Physics Journal Issue: 10 Vol. 81; ISSN 1098-0121
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANGULAR MOMENTUM
CHIRALITY
CONFORMAL INVARIANCE
CRYSTAL MODELS
ENERGY LEVELS
ENTROPY
EXCHANGE INTERACTIONS
FIELD THEORIES
FUNCTIONS
GROUND STATES
HEISENBERG MODEL
INTERACTIONS
INVARIANCE PRINCIPLES
MATHEMATICAL MODELS
MATRICES
PARTICLE PROPERTIES
PHYSICAL PROPERTIES
QUANTUM FIELD THEORY
RANDOMNESS
SPIN
THERMODYNAMIC PROPERTIES
WAVE FUNCTIONS