Kazuhiko Minami
Published 2017-10-05Version 1
An infinite number of spin chains are solved and it is derived that the ground-state phase transitions belong to the universality classes with central charge c=m/2, where m is an integer. The models are diagonalized by automatically obtained transformations, many of which are different from the Jordan-Wigner transformation. The free energies, correlation functions, string order parameters, exponents, central charges, and the phase diagram are obtained. Most of the examples consist of the stabilizers of the cluster state. A unified structure of the one-dimensional XY and cluster-type spin chains is revealed, and other series of solvable models can be obtained through this formula.
Comments: 23 pages, 1 figure, 3 tables
Probing Conformal Invariant of Non-unitary Two-Dimensional Systems by Central Spin Decoherence
A useful way to obtain the central charge of entanglement Hamiltonian -- Nested entanglement entropy
$c$-function and central charge of the sine-Gordon model from the non-perturbative renormalization group flow
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