2015/12/18 by Paweł Szumniak, Jelena Klinovaja, Daniel Loss
Physics and Astronomy · #Amplitude #Charge (physics) #Charge density #Charge density wave #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Electron #Filling factor #Modulation (music) #Phase (matter) #Physics #Quantum Hall effect #Quantum and electron transport phenomena #Quantum mechanics #Quantum spin Hall effect #Quantum tunnelling #Topological Materials and Phenomena #Topology (electrical circuits) #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevb.93.245308
published as Phys. Rev. B 93, 245308 (2016)
arxiv created 2015/12/18 · openalex created_date 2016/06/24 · openalex publication_date 2016/06/27 · arxiv updated 2016/07/06 · openalex updated_date 2026/08/05
We consider a system of weakly coupled wires with quantum Hall effect (QHE) and in the presence of a spatially periodic modulation of the chemical potential along the wire, equivalent to a charge density wave (CDW). We investigate the competition between the two effects which both open a gap. We show that by changing the ratio between the amplitudes of the CDW modulation and the tunneling between wires, one can switch between nontopological CDW-dominated phase to topological QHE-dominated phase. Both phases host edge states of chiral and nonchiral nature robust to on-site disorder. However, only in the topological phase, the edge states are immune to disorder in the phase shifts of the CDWs. We provide analytical solutions for filling factor \ensuremathν=1 and study numerically effects of disorder as well as present numerical results for higher filling factors.