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The square Ising model with second-neighbor interactions and the Ising chain in a transverse field

Technical Report:

Abstract

We consider the thermal and critical behaviour of the square Ising lattice with frustrated first - and second-neighbor interactions. A low-temperature domain wall analysis including kinks and dislocations shows that there is a close relation between this classical model and the Hamiltonian of an Ising chain in a transverse field provided that the ratio of the next-nearest to nearest-neighbor coupling, is close to 1/2. Due to the field inversion symmetry of the Ising chain Hamiltonian, the thermal properties of the classical system are symmetrical with respect to this coupling ratio. In the neighborhood of this regime critical exponents of the model turn out to belong to the Ising universality class. Our results are compared with previous Monte Carlo simulations. (author). 23 refs, 6 figs.
Publication Date:
Jun 01, 1991
Product Type:
Technical Report
Report Number:
IC-91/105
Reference Number:
SCA: 665000; PA: AIX-22:081830; SN: 91000608921
Resource Relation:
Other Information: PBD: Jun 1991
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; ISING MODEL; MAGNETIC FIELDS; DOMAIN STRUCTURE; HAMILTONIANS; THERMODYNAMIC PROPERTIES; 665000; PHYSICS OF CONDENSED MATTER
OSTI ID:
10105056
Research Organizations:
International Centre for Theoretical Physics (ICTP), Trieste (Italy)
Country of Origin:
IAEA
Language:
English
Other Identifying Numbers:
Other: ON: DE92609232; TRN: XA9129632081830
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
24 p.
Announcement Date:
Jun 30, 2005

Technical Report:

Citation Formats

Grynberg, M D, and Tanatar, B. The square Ising model with second-neighbor interactions and the Ising chain in a transverse field. IAEA: N. p., 1991. Web.
Grynberg, M D, & Tanatar, B. The square Ising model with second-neighbor interactions and the Ising chain in a transverse field. IAEA.
Grynberg, M D, and Tanatar, B. 1991. "The square Ising model with second-neighbor interactions and the Ising chain in a transverse field." IAEA.
@misc{etde_10105056,
title = {The square Ising model with second-neighbor interactions and the Ising chain in a transverse field}
author = {Grynberg, M D, and Tanatar, B}
abstractNote = {We consider the thermal and critical behaviour of the square Ising lattice with frustrated first - and second-neighbor interactions. A low-temperature domain wall analysis including kinks and dislocations shows that there is a close relation between this classical model and the Hamiltonian of an Ising chain in a transverse field provided that the ratio of the next-nearest to nearest-neighbor coupling, is close to 1/2. Due to the field inversion symmetry of the Ising chain Hamiltonian, the thermal properties of the classical system are symmetrical with respect to this coupling ratio. In the neighborhood of this regime critical exponents of the model turn out to belong to the Ising universality class. Our results are compared with previous Monte Carlo simulations. (author). 23 refs, 6 figs.}
place = {IAEA}
year = {1991}
month = {Jun}
}