TY - JOUR
T1 - Phase diagram of an extended parafermion chain
AU - Wouters, Jurriaan
AU - Hassler, Fabian
AU - Katsura, Hosho
AU - Schuricht, Dirk
PY - 2022/2/8
Y1 - 2022/2/8
N2 - We study the phase diagram of an extended parafermion chain, which,in addition to terms coupling parafermions on neighbouring sites, alsopossesses terms involving four sites. Via a Fradkin–Kadanofftransformation the parafermion chain is shown to be equivalent to thenon-chiral \mathbf{\mathbb{Z}_3}ℤ3axial next-nearest neighbour Potts model. We discuss a possibleexperimental realisation using hetero-nanostructures. The phase diagramcontains several gapped phases, including a topological phase where thesystem possesses three (nearly) degenerate ground states, and a gaplessLuttinger-liquid phase.
AB - We study the phase diagram of an extended parafermion chain, which,in addition to terms coupling parafermions on neighbouring sites, alsopossesses terms involving four sites. Via a Fradkin–Kadanofftransformation the parafermion chain is shown to be equivalent to thenon-chiral \mathbf{\mathbb{Z}_3}ℤ3axial next-nearest neighbour Potts model. We discuss a possibleexperimental realisation using hetero-nanostructures. The phase diagramcontains several gapped phases, including a topological phase where thesystem possesses three (nearly) degenerate ground states, and a gaplessLuttinger-liquid phase.
UR - http://dx.doi.org/10.21468/scipostphyscore.5.1.008
U2 - 10.21468/scipostphyscore.5.1.008
DO - 10.21468/scipostphyscore.5.1.008
M3 - Article
SN - 2666-9366
VL - 5
JO - SciPost Physics Core
JF - SciPost Physics Core
IS - 1
M1 - 008
ER -