Commensurate and incommensurate states of topological quantum matter

TY - JOUR

T1 - Commensurate and incommensurate states of topological quantum matter

AU - Milsted, Ashley

AU - Cobanera, Emilio

AU - Burrello, Michele

AU - Ortiz, Gerardo

PY - 2014/11/3

Y1 - 2014/11/3

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.

KW - Lattice gauge theory

U2 - 10.1103/PhysRevB.90.195101

DO - 10.1103/PhysRevB.90.195101

M3 - Journal article

SN - 2469-9950

VL - 90

JO - Physical Review B

JF - Physical Review B

IS - 19

M1 - 195101

ER -