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arXiv 1105.0924cond-mat.str-elcond-mat.stat-mech
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二维金属量子临界点附近的临界温度和Ginzburg区

Critical temperature and Ginzburg region near a quantum critical point in two-dimensional metals

J. Bauer, P. Jakubczyk, W. Metzner

摘要:

计算了二维金属电子系统中离散对称性破缺有序相边界量子临界点附近的相变温度$T_c$和高于$T_c$的Ginzburg温度$T_{\rm G}$.我们的计算是基于对具有标量序参量的赫兹作用量的重整化群分析。我们提供了$T_c$和$T_{\rm G}$作为量子相变的非热控制参数的函数的解析表达式,包括对数校正。$T_c$和$T_{\rm G}$之间的金斯堡区占据了相图的相当大的一部分。

英文摘要:

We compute the transition temperature $T_c$ and the Ginzburg temperature $T_{\rm G}$ above $T_c$ near a quantum critical point at the boundary of an ordered phase with a broken discrete symmetry in a two-dimensional metallic electron system. Our calculation is based on a renormalization group analysis of the Hertz action with a scalar order parameter. We provide analytic expressions for $T_c$ and $T_{\rm G}$ as a function of the non-thermal control parameter for the quantum phase transition, including logarithmic corrections. The Ginzburg regime between $T_c$ and $T_{\rm G}$ occupies a sizable part of the phase diagram.

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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