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arXiv 1708.09016cond-mat.str-el
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零温下相位玻璃玻色金属的消失霍耳电导

Vanishing Hall Conductance in the Phase Glass Bose Metal at Zero Temperature

Julian May-Mann, Philip W. Phillips

摘要:

部分受数值模拟[ky,kosterlitz 1,kosterlitz 2]的启发,数值模拟揭示了在规范或相位玻璃中产生缺陷的能量与2D的$L^θ$和$θ<0$成比例,从而意味着刚度消失,我们根据新的实验[kapsym,armitage],揭示了金属态下的霍尔电导为零,这破坏了2D样本中从超导体到绝缘体的转变。由于相位玻璃模型中的粒子-空穴对称性,我们发现在高斯能级下,在相位玻璃背景中的玻色子激发不产生霍尔电导。此外,这一结果在相互作用中的微扰理论中的任何阶都成立。我们表明,当粒子-空穴对称性被打破,霍尔电导打开与相同的幂律的纵向电导。这种预测可以通过将接地平面应用于2D样本来实验验证。

英文摘要:

Motivated in part by the numerical simulations [ky,kosterlitz1,kosterlitz2] which reveal that the energy to create a defect in a gauge or phase glass scales as $L^θ$ with $θ<0$ for 2D, thereby implying a vanishing stiffness, we re-examine the relevance of these kinds of models to the Bose metal in light of the new experiments [kapsym,armitage] which reveal that the Hall conductance is zero in the metallic state that disrupts the transition from the superconductor to the insulator in 2D samples. Because of the particle-hole symmetry in the phase glass model, we find that bosonic excitations in a phase glass background generate no Hall conductance at the Gaussian level. Furthermore, this result persists to any order in perturbation theory in the interactions. We show that when particle-hole symmetry is broken, the Hall conductance turns on with the same power law as does the longitudinal conductance. This prediction can be verified experimentally by applying a ground plane to the 2D samples.

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