Transfer matrix spectrum for the finitewidth Ising model with adjustable boundary conditions: Exact solution
Abstract
Using the spinor approach, the authors calculate exactly the complete spectrum of the transfer matrix for the finitewidth, planar Ising model with adjustable boundary conditions. Specifically, in order to control the boundary conditions, they consider an Ising model wrapped around the cylinder, and introduce along the axis a seam of defect bonds of variable strength. Depending on the boundary conditions used, the mass gap is found to vanish algebraically or exponentially with the size of the system. These results are compared with recent numerical simulations, and with randomwalk and capillarywave arguments.
 Authors:

 Clarkson Univ., Potsdam, NY (USA)
 Publication Date:
 OSTI Identifier:
 6196550
 Resource Type:
 Journal Article
 Journal Name:
 Journal of Statistical Physics; (USA)
 Additional Journal Information:
 Journal Volume: 56:56; Journal ID: ISSN 00224715
 Country of Publication:
 United States
 Language:
 English
 Subject:
 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ISING MODEL; TRANSFER MATRIX METHOD; BOUNDARY CONDITIONS; COMPUTERIZED SIMULATION; CRYSTAL DEFECTS; CRYSTAL LATTICES; CYLINDERS; EIGENVALUES; EQUATIONS OF MOTION; MASS; MATRICES; NUMERICAL SOLUTION; ONSAGER RELATIONS; ORTHOGONAL TRANSFORMATIONS; PAULI SPIN OPERATORS; QUANTUM MECHANICS; ROTATION; SPECTRA; SPIN; SPINORS; STATISTICAL MECHANICS; THERMODYNAMICS; TRANSPORT THEORY; ANGULAR MOMENTUM; ANGULAR MOMENTUM OPERATORS; CRYSTAL MODELS; CRYSTAL STRUCTURE; DIFFERENTIAL EQUATIONS; EQUATIONS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; MECHANICS; MOTION; PARTIAL DIFFERENTIAL EQUATIONS; PARTICLE PROPERTIES; QUANTUM OPERATORS; SIMULATION; TRANSFORMATIONS; 656002*  Condensed Matter Physics General Techniques in Condensed Matter (1987); 657002  Theoretical & Mathematical Physics Classical & Quantum Mechanics
Citation Formats
Abraham, D B, Ko, L F, and Svrakic, N M. Transfer matrix spectrum for the finitewidth Ising model with adjustable boundary conditions: Exact solution. United States: N. p., 1989.
Web. doi:10.1007/BF01016767.
Abraham, D B, Ko, L F, & Svrakic, N M. Transfer matrix spectrum for the finitewidth Ising model with adjustable boundary conditions: Exact solution. United States. https://doi.org/10.1007/BF01016767
Abraham, D B, Ko, L F, and Svrakic, N M. Fri .
"Transfer matrix spectrum for the finitewidth Ising model with adjustable boundary conditions: Exact solution". United States. https://doi.org/10.1007/BF01016767.
@article{osti_6196550,
title = {Transfer matrix spectrum for the finitewidth Ising model with adjustable boundary conditions: Exact solution},
author = {Abraham, D B and Ko, L F and Svrakic, N M},
abstractNote = {Using the spinor approach, the authors calculate exactly the complete spectrum of the transfer matrix for the finitewidth, planar Ising model with adjustable boundary conditions. Specifically, in order to control the boundary conditions, they consider an Ising model wrapped around the cylinder, and introduce along the axis a seam of defect bonds of variable strength. Depending on the boundary conditions used, the mass gap is found to vanish algebraically or exponentially with the size of the system. These results are compared with recent numerical simulations, and with randomwalk and capillarywave arguments.},
doi = {10.1007/BF01016767},
url = {https://www.osti.gov/biblio/6196550},
journal = {Journal of Statistical Physics; (USA)},
issn = {00224715},
number = ,
volume = 56:56,
place = {United States},
year = {1989},
month = {9}
}
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