Charge density wave with meronlike spin texture induced by a lateral superlattice in a two-dimensional electron gas

TL;DR

This study investigates how a lateral superlattice potential induces a charge density wave with meronlike spin textures in a 2D electron gas under magnetic field, revealing a phase transition and collective excitations near filling factor one.

Contribution

It demonstrates the emergence of a meronlike spin texture in a charge density wave induced by a superlattice potential, highlighting a transition from a uniform to a vortex-CDW state at a critical potential strength.

Findings

Transition from uniform to vortex-CDW at critical potential W0^(c)

Presence of a gapless phase mode related to broken U(1) symmetry

Disappearance of phase mode and spin textures at large W0

Abstract

The combined effect of a lateral square superlattice potential and the Coulomb interaction on the ground state of a two-dimensional electron gas in a perpendicular magnetic field is studied for different rational values of $\Gamma$, the inverse of the number of flux quanta per unit cell of the external potential, at filling factor $\nu =1$ in Landau level $N=0.$ When Landau level mixing and disorder effects are neglected, increasing the strength $W_{0}$ of the potential induces a transition, at a critical strength $W_{0}^{\left( c\right) },$ from a uniform and fully spin polarized state to a two-dimensional charge density wave (CDW) with a meronlike spin texture at each maximum and minimum of the CDW. The collective excitations of this vortex-CDW are similar to those of the Skyrme crystal that is expected to be the ground state near filling factor $\nu =1$. In particular, a broken U(1) symmetry in the vortex-CDW results in an extra gapless phase mode that could provide a fast channel for the relaxation of nuclear spins. The average spin polarization $% S_{z}$ changes in a continuous or discontinuous manner as $W_{0}$ is increased depending on whether $\Gamma \in \left[ 1/2,1\right] $ or $\Gamma \in \left[ 0,1/2\right] .$ The phase mode and the meronlike spin texture disappear at large value of $W_{0},$ leaving as the ground state a partially spin-polarized CDW if $\Gamma \neq 1/2$ or a spin-unpolarized CDW if $\Gamma =1/2.$