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arXiv 1607.03403cond-mat.mes-hall
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二维电子气中横向超晶格诱导的类meron自旋织构电荷密度波

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

R. Côté, Xavier Bazier-Matte

摘要:

在Landau能级$N=0.$中,研究了在填充因子$ν=1$下,当$Γ$(外势的单位晶胞通量量子数的倒数)为不同的有理数时,横向正方形超晶格势和库仑相互作用对垂直磁场中二维电子气基态的联合作用。在临界强度$W_{0}^{\left( c\right) },$下,增加电势的强度$W_{0}$引起从均匀和完全自旋极化状态到二维电荷密度波(CDW)的转变,该二维电荷密度波在CDW的每个最大值和最小值处具有类似meron的自旋织构。这种涡旋CDW的集体激发类似于Skyrme晶体的集体激发,Skyrme晶体预期是接近填充因子$ν=1$的基态。特别地,涡旋CDW中的U(1)对称性破缺导致额外的无隙相位模式,这可以为核自旋弛豫提供快速通道。随着$W_{0}$的增加,平均自旋极化$% S_{z}$以连续或不连续的方式变化,这取决于是$Γ\in \left[ 1/2,1\right] $还是$Γ\in \left[ 0,1/2\right] .$。当$W_{0},$值较大时,相模和类分子自旋织构消失,如果是$Γ\neq 1/2$,则基态为部分自旋极化的CDW,如果是$Γ=1/2.$,则基态为自旋非极化的CDW

英文摘要:

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 $Γ$, the inverse of the number of flux quanta per unit cell of the external potential, at filling factor $ν=1$ 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 $ν=1$. 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 $Γ\in \left[ 1/2,1\right] $ or $Γ\in \left[ 0,1/2\right] .$ 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 $Γ\neq 1/2$ or a spin-unpolarized CDW if $Γ=1/2.$

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