Solving the one-dimensional Ising chain via mathematical induction: an intuitive approach to the transfer matrix

DOI10.1088/1361-6404/AB330COpenAlexW2960550188WikidataQ127473318 ScholiaQ127473318MaRDI QIDQ5885920

Wen-Long Wang, Unnamed Author, Rogelio Diaz-Mendez

Publication date: 30 March 2023

Published in: European Journal of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.11701

zbMATH Keywords

transfer matrixIsing modelmathematical induction

Mathematics Subject Classification ID

Statistical mechanics, structure of matter (82-XX) General and overarching topics; collections (00-XX)

Cites Work

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• Classical phase transitions in a one-dimensional short-range spin model
• Quantum propagation and confinement in 1D systems using the transfer-matrix method
• Beitrag zur Theorie des Ferromagnetismus
• A synthetic approach to the transfer matrix method in classical and quantum physics
• A Combinatorial Solution of the Two-Dimensional Ising Model
• Antiferromagnetism. The Kagomé Ising Net
• Crystal Statistics. I. A Two-Dimensional Model with an Order-Disorder Transition

Related Items (3)

1D Ising model using the Kronecker sum and Kronecker product ⋮ Casimir and Helmholtz forces in one-dimensional Ising model with Dirichlet (free) boundary conditions ⋮ Towards low-temperature peculiarities of thermodynamic quantities for decorated spin chains

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