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arXiv 0812.2955cond-mat.str-el
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二维自旋、玻色和非费米液态金属:通过多腿梯子的研究

Spin, Bose, and Non-Fermi Liquid Metals in Two Dimensions: Accessing via Multi-Leg Ladders

Matthew P. A. Fisher, Olexei I. Motrunich, Donna N. Sheng

摘要:

表征和访问二维(2D)中的巡游玻色子或费米子的量子相位,其沿着动量空间中的表面表现出奇异结构,但没有准粒子描述仍然是强关联物理学领域的核心挑战。幸运的是,这种2D强相关相位的签名预计将在准一维“$N$ -腿梯”系统中显现。横向动量的阶梯离散化穿过2D表面,导致准1D的后裔状态与一组低能量模式,其数量的增长与腿的数量和其动量从2D表面继承。这些多模准一维液体构成了一个新的和以前没有预料到的一类量子态有趣的自己的权利。但更重要的是,它们带有一个独特的准一维“指纹”的父二维量子流体状态。这可以被利用来访问准一维模型中的受控数值和分析研究的2D相位。本文将简要总结这一努力的初步成果和未来前景。

英文摘要:

Characterizing and accessing quantum phases of itinerant bosons or fermions in two dimensions (2D) that exhibit singular structure along surfaces in momentum space but have no quasi-particle description remains as a central challenge in the field of strongly correlated physics. Fortuitously, signatures of such 2D strongly correlated phases are expected to be manifest in quasi-one-dimensional "$N$-leg ladder" systems. The ladder discretization of the transverse momentum cuts through the 2D surface, leading to a quasi-1D descendant state with a set of low-energy modes whose number grows with the number of legs and whose momenta are inherited from the 2D surfaces. These multi-mode quasi-1D liquids constitute a new and previously unanticipated class of quantum states interesting in their own right. But more importantly they carry a distinctive quasi-1D "fingerprint" of the parent 2D quantum fluid state. This can be exploited to access the 2D phases from controlled numerical and analytical studies in quasi-1D models. The preliminary successes and future prospects in this endeavor will be briefly summarized.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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