2014/07/03 by Ashley Milsted, Emilio Cobanera, Michele Burrello +2 · 2 citations
Mathematics · Physics and Astronomy · #Advanced Condensed Matter Physics #Homogeneous #Mathematics #Mesoscopic physics #Physics #Quantum #Quantum many-body systems #Quantum mechanics #Quantum phase transition #Quantum phases #Realization (probability) #Statistical physics #Theoretical physics #Topological Materials and Phenomena #Topological order #Topology (electrical circuits) #Universality (dynamical systems) #cond-mat.mes-hall #cond-mat.stat-mech #cond-mat.str-el #quant-ph
paper · pdf · doi:10.1103/physrevb.90.195101
published as Phys. Rev. B 90, 195101 (2014) · 7 pages, 4 figures
arxiv created 2014/07/03 · openalex publication_date 2014/11/03 · arxiv updated 2014/12/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.