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Proposed platform to study interaction-enabled topological phases with fermionic particles

2015/02/28 by Ching-Kai Chiu, Ching‐Kai Chiu, Dmitry I. Pikulin +3 · 7 citations
Physics and Astronomy · #Advanced Condensed Matter Physics #Boson #Bound state #Condensed matter physics #Fermion #Geometry #Lattice (music) #MAJORANA #Majorana fermion #Physics #Quantum many-body systems #Quantum mechanics #Symmetry (geometry) #Topological Materials and Phenomena #Topological insulator #Topology (electrical circuits) #cond-mat.mes-hall #cond-mat.str-el #cond-mat.supr-con

paper · pdf · doi:10.1103/physrevb.92.241115

published in Physical Review B 92(24) (American Physical Society) · 5 pages with 3 figures; v2 to appear in PRB/RC. Added 2 page supplement to address robustness against disorder and other technical issues

arxiv created 2015/12/10 · openalex publication_date 2015/12/23 · arxiv updated 2015/12/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We propose a platform for interacting topological phases of fermions with time reversal symmetry \mathrm\ensuremathΘ (such that \mathrm\ensuremathΘ2=1) that can be realized in vortex lattices in the surface state of a topological insulator. The constituent particles are Majorana fermions bound to vortices and antivortices of such a lattice. We explain how the \mathrm\ensuremathΘ symmetry arises and discuss ways in which interactions can be experimentally tuned and detected. We show how these features can be exploited to realize a class of interaction-enabled crystalline topological phases that have no analog in weakly interacting systems.

Citations