论文标题
从Kosterlitz-无旋式费米子和旋转链中的波克罗夫斯基 - 塔拉波夫过渡，以及下一个最新的邻居相互作用
From Kosterlitz-Thouless to Pokrovsky-Talapov transitions in spinless fermions and spin chains with next-nearest neighbour interactions
论文作者
论文摘要
我们研究了在无旋转费米的模型中，在三分之一填充时，量子相跃迁的性质是在无旋转费米斯模型中，最接近和下一个最新的邻里相互作用。使用广泛的密度矩阵重归其化组（DMRG）模拟，我们表明过渡改变了它的性质。我们表明，对于较弱的下一个最邻居的耦合，过渡是kosterlitz-与持续化预测一致。我们还提供了强大的数值证据，这些证据对于大型的邻近较高的拒绝，过渡属于Pokrovsky-Talapov Univerality类，描述了一个非统一的相称 - 固定型过渡。最后，我们认为过渡性质的变化是挫败感引起的不可通信性的结果，甚至在零掺杂时也意识到。简要讨论了XXZ链与XXZ链的背景下的含义。
We investigate the nature of the quantum phase transition out of charge-density-wave phase in the spinless fermion model with nearest- and next-nearest-neighbor interaction at one-third filling. Using an extensive Density Matrix Renormalization Group (DMRG) simulations we show that the transition changes it nature. We show that for weak next-nearest-neighbor coupling the transition is of Kosterlitz-Thouless type in agreement with bosonisation predictions. We also provide strong numerical evidences that for large next-nearest-neighbor repulsion the transition belongs to the Pokrovsky-Talapov univerality class describing a non-conformal commensurate-incommensurate transition. Finally, we argue that the change of the nature of the transition is a result of incommensurability induced by frustration and realized even at zero doping. The implications in the context of XXZ chain with next-nearest-neighbor Ising interaction is briefly discussed.
