Chiral and Non-Chiral Edge States in Quantum Hall Systems with Charge Density Modulation

Abstract

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 non-topological CDW-dominated phase to topological QHE-dominated phase. Both phases host edge states of chiral and non-chiral 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 $\nu =1$ and study numerically effects of disorder as well as present numerical results for higher filling factors.

References in corpus (18)

• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms
• Topological response in Weyl semimetals and the chiral anomaly
• Twinning superlattices in indium phosphide nanowires
• Towards a realistic transport modeling in a superconducting nanowire with Majorana fermions
• Edge-mode Superconductivity in a Two Dimensional Topological Insulator
• Spin-selective Peierls transition in interacting one-dimensional conductors with spin-orbit interaction
• Transition from fractional to Majorana fermions in Rashba nanowires
• Topological Floquet Phases in Driven Coupled Rashba Nanowires
• Coupled wire construction of chiral spin liquids
• Fermionic and Majorana Bound States in Hybrid Nanowires with Non-Uniform Spin-Orbit Interaction
• Quantum Spin Hall Effect in Strip of Stripes Model
• Fractional Fermions with Non-Abelian Statistics
• Integer and Fractional Quantum Anomalous Hall Effect in a Strip of Stripes Model
• Coexisting edge states and gapless bulk in topological states of matter
• Time reversal symmetry broken fractional topological phases at zero magnetic field
• Observation of chiral currents at the magnetic domain boundary of a topological insulator
• Electric coupling in scanning SQUID measurements

Cited by in corpus (8)

• Excess charges as a probe of one-dimensional topological crystalline insulating phases
• Boundary spin polarization as robust signature of topological phase transition in Majorana nanowires
• Fractional boundary charges in quantum dot arrays with density modulation
• Coupled-wire constructions: a Luttinger liquid approach to topology
• Theory of a 3+1D fractional chiral metal: interacting variant of the Weyl semimetal
• From fractional boundary charges to quantized Hall conductance
• Hinge Modes and Surface States in Second-Order Topological Three-Dimensional Quantum Hall Systems induced by Charge Density Modulation
• Transport anisotropy and metal-insulator transition in striped Dirac fermion systems