Correlation lengths in quantum spin ladders

Olav F. Syljuåsen; Sudip Chakravarty; Martin Greven

doi:10.1103/PhysRevLett.78.4115

Correlation lengths in quantum spin ladders

Olav F. Syljuåsen, Sudip Chakravarty, Martin Greven

Physics and Astronomy (Twin Cities)

Research output: Contribution to journal › Article › peer-review

23 Scopus citations

Abstract

Analytic expressions for the temperature dependences of the correlation length are given for antiferromagnetic spin- 1² Heisenberg ladders using a finite-size nonlinear σ model approach. These calculations rely on identifying three successive crossover regimes as a function of temperature. In each of these regimes, precise and controlled approximations are formulated. The analytical results are found to be in excellent agreement with Monte Carlo simulations for the Heisenberg Hamiltonian.

Original language	English (US)
Pages (from-to)	4115-4118
Number of pages	4
Journal	Physical review letters
Volume	78
Issue number	21
DOIs	https://doi.org/10.1103/PhysRevLett.78.4115
State	Published - 1997

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10.1103/PhysRevLett.78.4115

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abstract = "Analytic expressions for the temperature dependences of the correlation length are given for antiferromagnetic spin- 12 Heisenberg ladders using a finite-size nonlinear σ model approach. These calculations rely on identifying three successive crossover regimes as a function of temperature. In each of these regimes, precise and controlled approximations are formulated. The analytical results are found to be in excellent agreement with Monte Carlo simulations for the Heisenberg Hamiltonian.",

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AU - Chakravarty, Sudip

AU - Greven, Martin

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AB - Analytic expressions for the temperature dependences of the correlation length are given for antiferromagnetic spin- 12 Heisenberg ladders using a finite-size nonlinear σ model approach. These calculations rely on identifying three successive crossover regimes as a function of temperature. In each of these regimes, precise and controlled approximations are formulated. The analytical results are found to be in excellent agreement with Monte Carlo simulations for the Heisenberg Hamiltonian.

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Correlation lengths in quantum spin ladders

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