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arXiv 1109.3755cond-mat.quant-gas
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准二维费米子极性分子在单层和多层组态中的密度有序不稳定性:交换相互作用的精确处理

Density ordering instabilities of quasi-two-dimensional fermionic polar molecules in single-layer and multi-layer configurations: exact treatment of exchange interactions

Mehrtash Babadi, Eugene Demler

摘要:

本文研究了准二维费米子极性分子在单层和多层结构中的面内和面外密度有序不稳定性。我们找到软模式内保存的时间相关的Hartree-Fock(TDHF)的线性响应函数的评估。通过数值求解Bethe-Salpeter积分方程,考虑了短程交换效应。计算了单层和多层体系的不稳定相图,并指出了不稳定波矢。在所有的情况下,面内密度波不稳定性被发现之前的面外不稳定性。不稳定的波矢量被发现是大约两倍的费米波矢量的一个子带的时间,可以不连续地改变密度和偶极相互作用强度的函数。在多层结构中,我们发现在第一激发子带中由稀准粒子驱动的密度波不稳定性大大增强。最后,我们提供了一个简单的定性描述的相图使用RPA的方法。与以前的RPA近似内所做的工作相比,我们发现,包括交换相互作用稳定的正常液相进一步增加临界偶极相互作用强度对应的密度波不稳定性的发病超过两个因素。

英文摘要:

We study the in-plane and out-of-plane density ordering instabilities of quasi-two-dimensional fermionic polar molecules in single-layer and multi-layer configurations. We locate the soft modes by evaluating linear response functions within the conserving time-dependent Hartree-Fock (TDHF). The short-range exchange effects are taken into account by solving the Bethe-Salpeter integral equation numerically. An instability phase diagram is calculated for both single-layer and multi-layer systems and the unstable wave-vector is indicated. In all cases, the in-plane density wave instability is found to precede the out-of-plane instability. The unstable wave-vector is found to be approximately twice the Fermi wave-vector of one of the subbands at a time and can change discontinuously as a function of density and dipolar interaction strength. In multi-layer configurations, we find a large enhancement of density wave instability driven by dilute quasiparticles in the first excited subband. Finally, we provide a simple qualitative description of the phase diagrams using a RPA-like approach. Compared to previous works done within the RPA approximation, we find that inclusion of exchange interactions stabilize the normal liquid phase further and increase the critical dipolar interaction strength corresponding to the onset of density-wave instability by over a factor of two.

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