Yang-Lee edge singularity from a real-space renormalization-group method

Journal Article · Mon Sep 17 04:00:00 EDT 1979 · Phys. Rev. Lett.; (United States)

DOI:https://doi.org/10.1103/PhysRevLett.43.805· OSTI ID:5866688

Uzelac, K; Pfeuty, P; Jullien, R

The quantum one-dimensional transverse Ising model with an imaginary longitudinal field is studied at T=0 using a real-space renormalization-group method. Evaluation is made of the real part of the ground-state longitudinal magnetization which is related to the Yang-Lee distribution of zeros of the partition function for the two-dimensional classical Ising model. The edge exponents are found as sigma=-0.25 +- 0.05 and eta=-1.0 +- 0.02, in agreement with series expansion estimates.

• Research Organization: Laboratoire de Physique des Solides, Universite de Paris-Sud, Centre d'Orsay, 91405 Orsay, France
• OSTI ID: 5866688
• Journal Information: Phys. Rev. Lett.; (United States), Journal Name: Phys. Rev. Lett.; (United States) Vol. 43:12; ISSN PRLTA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM
CRYSTAL MODELS
EIGENSTATES
FUNCTIONS
HAMILTONIANS
ISING MODEL
LEE-YANG THEORY
MAGNETIZATION
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
PARTICLE PROPERTIES
PARTITION FUNCTIONS
PHYSICAL PROPERTIES
QUANTUM OPERATORS
RENORMALIZATION
SPIN
THERMODYNAMIC PROPERTIES