Dynamics of Quantum Hall Interfaces
arXiv:2105.12690 · doi:10.1103/PhysRevB.104.125303
Abstract
A quantum Hall (QH) interface is different from an ordinary QH edge, as the latter has its location determined by the confining potential, while the former can be unpinned and behave like a free string. In this paper, we demonstrate this difference by studying three different interfaces formed by (i) the Laughlin state and the vacuum, (ii) the Pfaffian state and the vacuum, and (iii) the Pfaffian and the anti-Pfaffian states. We find that string-like interfaces propagating freely in the QH system lead to very different dynamical properties from edges. This qualitative difference gives rise to fascinating new physics and suggests a new direction in future research on QH physics. We also discuss briefly possible analogies between QH interfaces and concepts in string theory.
Published version
References in corpus (13)
- Non-Abelian Anyons and Topological Quantum Computation
- Particle-hole symmetry and the Pfaffian state
- Particle-Hole Symmetry and the Quantum Hall State
- A theory of topological edges and domain walls
- Fractional quantum Hall effect at : Ground states, non-Abelian quasiholes, and edge modes in a microscopic model
- Quantum Hall physics in rotating Bose-Einstein condensates
- Energetics of Pfaffian-AntiPfaffian Domains
- Microscopic Study of the Halperin - Laughlin Interface through Matrix Product States
- Realization of supersymmetry and its spontaneous breaking in quantum Hall edges
- Theoretical investigation of edge reconstruction in the =5/2 and 7/3 fractional quantum Hall states
- Existence of strong-pairing quantum Hall phase in bilayer cold atom systems with dipolar interactions
- Emergence of spin-active channels at a quantum Hall interface
- Model wavefunctions for an interface between lattice Laughlin and Moore-Read states