Kac-Ward solution of the 2D classical and 1D quantum Ising models.

Lead Research Organisation: University of Warwick
Department Name: Mathematics


We give a rigorous derivation of the free energy of (i) the classical Ising model on the triangular lattice, with translation-invariant couplings of arbitrary signs and (ii) the one-dimensional quantum Ising model. We use the version of the Kac-Ward method recently proposed by Aizenman and Warzel.


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Studentship Projects

Project Reference Relationship Related To Start End Student Name
EP/V520226/1 30/09/2020 31/10/2025
2443930 Studentship EP/V520226/1 04/10/2020 04/10/2024 Georgios Athanasopoulos