The square lattice Ising model on the rectangle III: Hankel and Toeplitz determinants

DOI10.1088/1751-8121/ac0983OpenAlexW3169794760MaRDI QIDQ5877819

Alfred Hucht

Publication date: 16 February 2023

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.10776

zbMATH Keywords

exact solutiontransfer matrixToeplitz matrixHankel matrixdeterminantsquare lattice Ising modelopen boundary conditions

Mathematics Subject Classification ID

Quantum theory (81-XX) Statistical mechanics, structure of matter (82-XX)

Related Items (1)

Morse index of block Jacobi matrices via optimal control

Uses Software

• Mathematica
• DLMF

Cites Work

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• Elliptic functions and applications
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• Erratum: The square lattice Ising model on the rectangle I: finite systems (2017 J. Phys. A: Math. Theor. 50 065201)
• Beitrag zur Theorie des Ferromagnetismus
• The bulk, surface and corner free energies of the anisotropic triangular Ising model
• Toeplitz Matrices and Toeplitz Determinants under the Impetus of the Ising Model: Some History and Some Recent Results
• The square lattice Ising model on the rectangle II: finite-size scaling limit
• Crystal Statistics. II. Partition Function Evaluated by Spinor Analysis
• The Influence of Retardation on the London-van der Waals Forces
• Crystal Statistics. I. A Two-Dimensional Model with an Order-Disorder Transition

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