Report on 2106.15823v1
Abstract
We study the phase diagram of an extended parafermion chain, which, in addition to terms coupling parafermions on neighbouring sites, also possesses terms involving four sites.Via a Fradkin-Kadanoff transformation the parafermion chain is shown to be equivalent to the non-chiral Z 3 axial next-nearest neighbour Potts model.We discuss a possible experimental realisation using heteronanostructures.The phase diagram contains several gapped phases, including a topological phase where the system possesses three (nearly) degenerate ground states, and a gapless Luttinger-liquid phase.
Authors 4
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Affiliation as printed
Institute for Theoretical Physics , Center for Extreme Matter and Emergent Phenomena , Utrecht University , Princetonplein 5 , 3584 CE Utrecht , The Netherlands
Institute for Theoretical Physics, Center for Extreme Matter and Emergent Phenomena, Utrecht University, Princetonplein 5, 3584 CE Utrecht, The Netherlands
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Affiliation as printed
JARA-Institute for Quantum Information , RWTH Aachen University , 52056 Aachen , Germany
JARA-Institute for Quantum Information, RWTH Aachen University, 52056 Aachen, Germany
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Affiliation as printed
Department of Physics, Graduate School of Science, The University of Tokyo, 7-3-1, Hongo, Bunkyo-ku, Tokyo, 113-0033, Japan
Institute for Physics of Intelligence, The University of Tokyo, 7-3-1, Hongo, Bunkyo-ku, Tokyo, 113-0033, Japan
Trans-scale Quantum Science Institute, The University of Tokyo, 7-3-1, Hongo, Bunkyo-ku, Tokyo, 113-0033, Japan
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Affiliation as printed
Institute for Theoretical Physics , Center for Extreme Matter and Emergent Phenomena , Utrecht University , Princetonplein 5 , 3584 CE Utrecht , The Netherlands
Institute for Theoretical Physics, Center for Extreme Matter and Emergent Phenomena, Utrecht University, Princetonplein 5, 3584 CE Utrecht, The Netherlands
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