Statistical Physics Perturbation Theory Applied to the Ising Model on the Square, Cubic and Hypercubic Lattices

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• Joseph Jones, Theory Group
• Wednesday 07 June 2023, 13:15-14:30
• Theory Library.

If you have a question about this talk, please contact Dr Hannah Price.

Note: **unusual day of the week**

For nearest-neighbour classical statistical physics on layered geometries, we can recast transfer matrix theory into two quantum mechanical Hamiltonians which are related to the total free energy of the system by the Baker-Campbell-Hausdorff (BCH) identity, exp©= exp(A)exp(B). We have developed an analogue of ordinary perturbation theory for Hamiltonians related by the BCH identity rather than linearly, C=A+B, as in quantum mechanics. Our perturbation theory can be used to determine the existence and properties of topological phase transitions. We can target the correlation length of a system by calculating the free energies of two states, one with a topological defect and one without; the phase transition corresponds to when the two free energies become degenerate.

In this talk I will introduce the current state of statistical physics to motivate our work, then I will discuss the derivation and application of our perturbation theory.

This talk is part of the Theoretical Physics Seminars series.

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• Bham Talks
• Theoretical Physics Seminars
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