Commensurate and incommensurate states of topological quantum matter

Ashley Milsted; Emilio Cobanera; Michele Burrello; Gerardo Ortiz

doi:10.1103/PhysRevB.90.195101

Commensurate and incommensurate states of topological quantum matter

Ashley Milsted, Emilio Cobanera, Michele Burrello, Gerardo Ortiz

15 Citationer (Scopus)

Abstract

We prove numerically and by dualities the existence of modulated, commensurate and incommensurate states of topological quantum matter in systems of parafermions, motivated by recent proposals for the realization of such systems in mesoscopic arrays. In two space dimensions, we obtain the simplest representative of a topological universality class that we call Lifshitz. It is characterized by a topological tricritical point where a nonlocally ordered homogeneous phase meets a disordered phase and a third phase that displays modulations of a nonlocal order parameter.

Originalsprog	Engelsk
Artikelnummer	195101
Tidsskrift	Physical Review B
Vol/bind	90
Udgave nummer	19
ISSN	2469-9950
DOI	https://doi.org/10.1103/PhysRevB.90.195101
Status	Udgivet - 3 nov. 2014
Udgivet eksternt	Ja

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10.1103/PhysRevB.90.195101

Citationsformater

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AU - Milsted, Ashley

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N2 - We prove numerically and by dualities the existence of modulated, commensurate and incommensurate states of topological quantum matter in systems of parafermions, motivated by recent proposals for the realization of such systems in mesoscopic arrays. In two space dimensions, we obtain the simplest representative of a topological universality class that we call Lifshitz. It is characterized by a topological tricritical point where a nonlocally ordered homogeneous phase meets a disordered phase and a third phase that displays modulations of a nonlocal order parameter.

AB - We prove numerically and by dualities the existence of modulated, commensurate and incommensurate states of topological quantum matter in systems of parafermions, motivated by recent proposals for the realization of such systems in mesoscopic arrays. In two space dimensions, we obtain the simplest representative of a topological universality class that we call Lifshitz. It is characterized by a topological tricritical point where a nonlocally ordered homogeneous phase meets a disordered phase and a third phase that displays modulations of a nonlocal order parameter.

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DO - 10.1103/PhysRevB.90.195101

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Commensurate and incommensurate states of topological quantum matter

Abstract

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