Multicriticality in a one-dimensional topological band insulator

• URL: http://arxiv.org/abs/2001.10079v3
• Date: Tue, 18 Aug 2020 21:35:39 GMT
• Title: Multicriticality in a one-dimensional topological band insulator
• Authors: Mariana Malard, David Brandao, Paulo Eduardo de Brito, Henrik Johannesson
• Abstract summary: A central tenet in the theory of quantum phase transitions (QPTs) is that a nonanalyticity in the ground-state energy in the thermodynamic limit implies a QPT. Here we report on a finding that challenges this assertion. As a case study we take a phase diagram of a one-dimensional band insulator with spin-orbit coupled electrons, supporting trivial and topological gapped phases separated by intersecting critical surfaces. The intersections define multicritical lines across which the ground-state energy becomes nonanalytical, concurrent with a closing of the band gap, but with no phase transition taking place.
• Score: 3.511869949077931
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: A central tenet in the theory of quantum phase transitions (QPTs) is that a nonanalyticity in the ground-state energy in the thermodynamic limit implies a QPT. Here we report on a finding that challenges this assertion. As a case study we take a phase diagram of a one-dimensional band insulator with spin-orbit coupled electrons, supporting trivial and topological gapped phases separated by intersecting critical surfaces. The intersections define multicritical lines across which the ground-state energy becomes nonanalytical, concurrent with a closing of the band gap, but with no phase transition taking place.

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