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arXiv · 1410.8662

Finite-size scaling at the first-order quantum transitions of quantum Potts chains

Massimo Campostrini·Jacopo Nespolo·Andrea Pelissetto·Ettore Vicari
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Abstract

We investigate finite-size effects in quantum systems at first-order quantum transitions. For this purpose we consider the one-dimensional q-state Potts models which undergo a first-order quantum transition for any q>4, separating the quantum disordered and ordered phases with a discontinuity in the energy density of the ground state. The low-energy properties around the transition show finite-size scaling, described by general scaling ansatzes with respect to appropriate scaling variables. The size dependence of the scaling variables presents a particular sensitiveness to boundary conditions, which may be considered as a peculiar feature of first-order quantum transitions.

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Massimo Campostrini, Jacopo Nespolo, Andrea Pelissetto, Ettore Vicari. 2014-10-31. Finite-size scaling at the first-order quantum transitions of quantum Potts chains. https://doi.org/10.1103/physreve.91.052103

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