arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新，休息一下吧，周末愉快~~
arXiv 1808.06158hep-th
收藏

NLED全息模型中面内电阻率和逆霍尔角的温度依赖性

Temperature Dependence of In-plane Resistivity and Inverse Hall Angle in NLED Holographic Model

Qingyu Gan, Peng Wang, Haitang Yang

备注：
19 pages, 9 figures
阅读 PDF
arXiv 页面 ↗HTML 原文 ↗

摘要：

在高$T_{c}$铜氧化物的奇异金属相中，解释面内电阻率的线性温度依赖性和逆霍尔角的二次温度依赖性是具有挑战性的。本文研究了我们最近建立的非线性电动力学全息模型的面内电阻率和逆霍尔角的温度依赖性。考虑了麦克斯韦电动力学和玻恩-因菲尔德电动力学。这两种情况都支持参数空间中广泛的温度定标。对于麦克斯韦电动力学，T-线性面内电阻率通常在低温下占主导地位，并以狭窄的带状方式存活到更高的温度。同时，T-二次逆霍尔角在高温下占主导地位，并向下延伸到较低的温度。如果出现T线性面内电阻率和T二次逆霍尔角之间的重叠，则通常会出现在中温区。带有$a>0$的Born-Infeld情况与Maxwell情况非常相似。对于具有$a<0$的Born-Infeld情况，可以存在对电荷密度和磁场的约束。此外，对于强电荷密度，可以发生重叠。

英文摘要：

In the strange metal phase of the high-$T_{c}$ cuprates, it is challenging to explain the linear temperature dependence of the in-plane resistivity and the quadratic temperature dependence of the inverse Hall angle. In this paper, we investigate the temperature dependence of the in-plane resistivity and inverse Hall angle in the nonlinear electrodynamics holographic model developed in our recent work. Maxwell electrodynamics and Born-Infeld electrodynamics are considered. Both cases support a wide spectrum of temperature scalings in parameter space. For Maxwell electrodynamics, the T-linear in-plane resistivity generally dominates at low temperatures and survives into higher temperatures in a narrow strip-like manner. Meanwhile, the T-quadratic inverse Hall angle dominates at high temperatures and extends down to lower temperatures. The overlap between the T-linear in-plane resistivity and the T-quadratic inverse Hall angle, if occurs, would generally present in the intermediate temperate regime. The Born-Infeld case with $a>0$ is quite similar to the Maxwell case. For the Born-Infeld case with $a<0$, there can be a constraint on the charge density and magnetic field. Moreover, the overlap can occur for strong charge density.

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。

↑