论文标题
基塔夫链的基端状态下的偏置长距离顺序
Off-diagonal long-range order in the ground state of the Kitaev chain
论文作者
论文摘要
我们研究了具有均匀相位梯度配对项的一维吉泰模型。我们表明，梯度常数极大地影响了相图，该相图由拓扑琐事和非平凡阶段组成，与Majorana边缘模式相关。基于精确的解决方案，引入了Bardeen-Cooper-Schrieffer（BCS）-PAIR订购参数，以通过相位边界处的值和非分析行为来表征相图。我们发现该顺序参数在三重临界点处获得其最大值，在该点，配对相梯度由于相干破坏性干扰而抑制了单粒子散射过程。特别是，我们表明，在这样一个点处的基态在热力学极限下具有精确的非对角线长阶（ODLRO）。我们的结果提供了一个具有ODLRO的无间隙$ p $ p $波浪的超导地面状态。
We study a one-dimensional Kitaev model with uniform phase gradient pairing term. We show that the gradient constant dramatically affects the phase diagram, which consists of topologically trivial and nontrivial phases, associated with Majorana edge modes. Based on the exact solution, a Bardeen-Cooper-Schrieffer (BCS)-pair order parameter is introduced to characterize the phase diagram by its value and nonanalytic behavior at phase boundaries. We find that this order parameter obtains its maxima at the triple critical points, at which the pairing phase gradient suppresses the single-particle scattering process due to the coherent destructive interference. In particular, we show that the ground state at such a point possesses exact off-diagonal long-range order (ODLRO), in the thermodynamic limit. Our result provides an example of a gapless $p$-wave superconducting ground state possessing ODLRO.
