Zero-temperature renormalization method for quantum systems. I. Ising model in a transverse field in one dimension

Journal Article · Sun Oct 01 04:00:00 EDT 1978 · Phys. Rev., B: Solid State; (United States)

DOI:https://doi.org/10.1103/PhysRevB.18.3568· OSTI ID:6851015

Jullien, R; Pfeuty, P; Fields, J N; Doniach, S

A zero-temperature real-space renormalization-group method is presented and applied to the quantum Ising model with a transverse field in one dimension. The transition between the low-field and high-field regimes is studied. Magnetization components, spin correlation functions, and critical exponents are derived and checked against the exact results. It is shown that increasing the size of the blocks in the iterative procedure yields more accurate results, especially for the critical ''magnetic'' exponents near the transition.

• Research Organization: Laboratoire de Physique des Solides, Universite Paris-Sud, Centre d'Orsay, 91405 Orsay, France
• OSTI ID: 6851015
• Journal Information: Phys. Rev., B: Solid State; (United States), Journal Name: Phys. Rev., B: Solid State; (United States) Vol. 18:7; ISSN PLRBA
• Country of Publication: United States
• Language: English

Related Subjects

656000* -- Condensed Matter Physics
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ABSOLUTE ZERO TEMPERATURE
CRYSTAL MODELS
ISING MODEL
MAGNETIC PROPERTIES
MAGNETIC SUSCEPTIBILITY
MATHEMATICAL MODELS
MECHANICS
ONE-DIMENSIONAL CALCULATIONS
PHASE TRANSFORMATIONS
PHYSICAL PROPERTIES
QUANTUM MECHANICS