The classical one-dimensional Heisenberg magnet in an external magnetic field. Transfer matrix formalism as an application of renormalization group theory “avant la lettre”

Th.W. Ruijgrok and Th. Niemeijer

Physica A: Statistical Mechanics and its Applications, 1976, vol. 84, issue 2, 336-349

Abstract: The classical one-dimensional Heisenberg magnet is treated in the context of renormalization theory. This treatment is shown to be equivalent to the usual transfer matrix approach. If the chain consists of N spins, the original hamiltonian will, upon repeated application of the renormalization transformation, be transformed into N uncoupled spins described by N identical one-particle hamiltonians, Heff, which depends upon the original interaction and field.

Date: 1976
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:84:y:1976:i:2:p:336-349

DOI: 10.1016/0378-4371(76)90005-4

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