Commensurate and incommensurate states of topological quantum matter
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Commensurate and incommensurate states of topological quantum matter. / Milsted, Ashley; Cobanera, Emilio; Burrello, Michele; Ortiz, Gerardo.
In: Physical Review B, Vol. 90, No. 19, 195101, 01.11.2014.Research output: Contribution to journal › Journal article › Research › peer-review
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TY - JOUR
T1 - Commensurate and incommensurate states of topological quantum matter
AU - Milsted, Ashley
AU - Cobanera, Emilio
AU - Burrello, Michele
AU - Ortiz, Gerardo
PY - 2014/11/1
Y1 - 2014/11/1
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
VL - 90
JO - Physical Review B
JF - Physical Review B
SN - 2469-9950
IS - 19
M1 - 195101
ER -
ID: 184607289