Nonchiral intermediate long-wave equation and interedge effects in narrow quantum Hall systems
Bjorn K. Berntson, Edwin Langmann, Jonatan Lenells
Abstract
We present a nonchiral version of the intermediate long-wave (ILW) equation that can model nonlinear waves propagating on two opposite edges of a quantum Hall system, taking into account interedge interactions. We obtain exact soliton solutions governed by the hyperbolic Calogero-Moser-Sutherland (CMS) model, and we give a Lax pair, a Hirota form, and conservation laws for this new equation. We also present a periodic nonchiral ILW equation, together with its soliton solutions governed by the elliptic CMS model.
Topics & Concepts
Quantum Hall effectPhysicsCondensed matter physicsQuantum spin Hall effectHall effectQuantumQuantum electrodynamicsQuantum mechanicsElectronMagnetic fieldQuantum and electron transport phenomenaPhysics of Superconductivity and MagnetismQuantum many-body systems