Spin coherent-state path integrals and the instanton calculus

Anupam Garg; Evgueny Kochetov; Kee Su Park; Michael Stone

doi:10.1063/1.1521797

Spin coherent-state path integrals and the instanton calculus

Anupam Garg, Evgueny Kochetov, Kee Su Park, Michael Stone^*

^*Corresponding author for this work

Physics and Astronomy

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

31 Scopus citations

Abstract

We use an instanton approximation to the continuous-time spin coherent-state path integral to obtain the tunnel splitting of classically degenerate ground states. We show that provided the fluctuation determinant is carefully evaluated, the path integral expression is accurate to order O(1/j). We apply the method to the LMG model and to the molecular magnet Fe₈ in a transverse field.

Original language	English (US)
Pages (from-to)	48-70
Number of pages	23
Journal	Journal of Mathematical Physics
Volume	44
Issue number	1
DOIs	https://doi.org/10.1063/1.1521797
State	Published - Jan 1 2003

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1063/1.1521797

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title = "Spin coherent-state path integrals and the instanton calculus",

abstract = "We use an instanton approximation to the continuous-time spin coherent-state path integral to obtain the tunnel splitting of classically degenerate ground states. We show that provided the fluctuation determinant is carefully evaluated, the path integral expression is accurate to order O(1/j). We apply the method to the LMG model and to the molecular magnet Fe8 in a transverse field.",

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AU - Park, Kee Su

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N2 - We use an instanton approximation to the continuous-time spin coherent-state path integral to obtain the tunnel splitting of classically degenerate ground states. We show that provided the fluctuation determinant is carefully evaluated, the path integral expression is accurate to order O(1/j). We apply the method to the LMG model and to the molecular magnet Fe8 in a transverse field.

AB - We use an instanton approximation to the continuous-time spin coherent-state path integral to obtain the tunnel splitting of classically degenerate ground states. We show that provided the fluctuation determinant is carefully evaluated, the path integral expression is accurate to order O(1/j). We apply the method to the LMG model and to the molecular magnet Fe8 in a transverse field.

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Spin coherent-state path integrals and the instanton calculus

Abstract

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