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Journal Article

Quantum clock models with infinite-range interactions


Russomanno,  Angelo
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Offei-Danso, A., Surace, F. M., Iemini, F., Russomanno, A., & Fazio, R. (2020). Quantum clock models with infinite-range interactions. Journal of Statistical Mechanics: Theory and Experiment, 2020(7): 073107. doi:10.1088/1742-5468/aba0a1.

Cite as: http://hdl.handle.net/21.11116/0000-0007-A038-5
We study the phase diagram, both at zero and finite temperature, in a class of Z(q) models with infinite-range interactions. We are able to identify the transitions between a symmetry-breaking and a trivial phase by using a mean-field approach and a perturbative expansion. We perform our analysis on a Hamiltonian with 2p-body interactions and we find first-order transitions for any p > 1; in the case p = 1, the transitions are first-order for q = 3 and second-order otherwise. In the infinite-range case there is no trace of gapless incommensurate phase but, when the transverse field is maximally chiral, the model is in a symmetry-breaking phase for arbitrarily large fields. We analytically study the transition in the limit of infinite q, where the model possesses a continuous U(1) symmetry.