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arXiv 1207.4986cond-mat.othercond-mat.quant-gas
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准分子链超流中的仿费米子激发

Parafermion excitations in superfluid of quasi-molecular chains

A. B. Kuklov, A. M. Tsvelik

摘要:

我们研究了一组$N$相同的一维晶格(管)中的偶极子系统的量子相变。在这种情况下,晶格内的相互作用是纯粹的排斥,防止系统崩溃和晶格间的相互作用是吸引力。偶极可以代表极性分子或间接激子。这种转变将两个阶段分开;在其中一个阶段,超流(被理解为相应的关联函数的代数衰减)发生在每个单独的晶格中,在另一个阶段(链超流),序参量是所有晶格的玻色子算子的乘积。我们认为,在有限的晶格间隧穿的存在下,过渡属于普适类的$q=N$二维经典Potts模型。对于$N=2,3,4$,相应的低能场论是Z $_N$亚费米子受热算符扰动的模型。蒙特卡罗模拟的结果与这些预测是一致的。概述了间接激子链式超流的探测方案。

英文摘要:

We study a quantum phase transition in a system of dipoles confined in a stack of $N$ identical one-dimensional lattices (tubes) polarized perpendicularly to the lattices. In this arrangement the intra-lattice interaction is purely repulsive preventing the system collapse and the inter-lattice one is attractive. The dipoles may represent polar molecules or indirect excitons. The transition separates two phases; in one of them superfluidity (understood as algebraic decay of the corresponding correlation functions) takes place in each individual lattice, in the other (chain superfluid) the order parameter is the product of bosonic operators from all lattices. We argue that in the presence of finite inter-lattice tunneling the transition belongs to the universality class of the $q=N$ two-dimensional classical Potts model. For $N=2,3,4$ the corresponding low energy field theory is the model of Z$_N$ parafermions perturbed by the thermal operator. Results of Monte Carlo simulations are consistent with these predictions. The detection scheme for the chain superfluid of indirect excitons is outlined.

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