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- W2963672348 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 $mathrm{ensuremath{Gamma}}$, the inverse of the number of flux quanta per unit cell of the external potential, at filling factor $ensuremath{nu}=1$ 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 of ${W}_{0}^{(c)}$ 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 $ensuremath{nu}=1$. 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 $mathrm{ensuremath{Gamma}}ensuremath{in}[1/2,1]$ or $mathrm{ensuremath{Gamma}}ensuremath{in}[0,1/2]$. The phase mode and the meronlike spin texture disappear at a large value of ${W}_{0}$ leaving as the ground state a partially spin-polarized CDW if $mathrm{ensuremath{Gamma}}ensuremath{ne}1/2$ or a spin-unpolarized CDW if $mathrm{ensuremath{Gamma}}=1/2.$" @default.
- W2963672348 created "2019-07-30" @default.
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- W2963672348 date "2017-03-13" @default.
- W2963672348 modified "2023-09-24" @default.
- W2963672348 title "Charge density wave with meronlike spin texture induced by a lateral superlattice in a two-dimensional electron gas" @default.
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