Properties of the Soliton-Lattice State in Double-Layer Quantum Hall Systems

TL;DR

This paper investigates the properties of a soliton-lattice ground state in double-layer quantum Hall systems under strong parallel magnetic fields, providing detailed calculations of its energy, stiffness, melting temperature, and magnetization.

Contribution

It presents the first detailed calculation of the soliton-lattice state's properties as a function of magnetic field in such systems.

Findings

Magnetization of the soliton-lattice state is potentially measurable.

Magnetic susceptibility diverges near the critical field B_c.

Calculated parameters include energy, stiffness, and melting temperature.

Abstract

Application of a sufficiently strong parallel magnetic field $B_\parallel > B_{c}$ produces a soliton-lattice (SL) ground state in a double-layer quantum Hall system. We calculate the ground-state properties of the SL state as a function of $B_\parallel$ for total filling factor $\nu_{T}=1$, and obtain the total energy, anisotropic SL stiffness, Kosterlitz-Thouless melting temperature, and SL magnetization. The SL magnetization might be experimentally measurable, and the magnetic susceptibility diverges as $|B_\parallel - B_{c}|^{-1}$.