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arXiv 2012.14449cond-mat.str-elhep-th
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无准粒子II量子物质的激发谱:随机$t$ - $J$模型

Excitation spectra of quantum matter without quasiparticles II: random $t$-$J$ models

Maria Tikhanovskaya, Haoyu Guo, Subir Sachdev, Grigory Tarnopolsky

摘要:

本文给出了具有SU($M$)自旋旋转对称性的$t$ - $J$模型的谱函数的数值解.从鞍点方程的大体积极限,其次是大$M$极限的解决方案。这些鞍点方程包含了携带突现U(1)规范荷的分裂自旋子和holon的格林函数,服从类似于Sachdev-Ye-Kitaev(SYK)模型的关系。低频谱函数进行了比较,与运营商的缩放尺寸的解析分析,具有良好的协议。我们还计算了规范不变观测量的低频和温度行为:电子格林函数,局部自旋磁化率和光学电导率;以及直流电阻率的温度依赖性。时间重参数化软模(相当于二维量子引力全息对偶模型中的边界引力子)对所有观测量都有重要贡献,并对直流电阻率提供了线性温度贡献。

英文摘要:

We present numerical solutions of the spectral functions of $t$-$J$ models with random and all-to-all exchange and global SU($M$) spin rotation symmetry. The solutions are obtained from the saddle-point equations of the large volume limit, followed by the large $M$ limit. These saddle point equations involve Green's functions for fractionalized spinons and holons carrying emergent U(1) gauge charges, obeying relations similar to those of the Sachdev-Ye-Kitaev (SYK) models. The low frequency spectral functions are compared with an analytic analysis of the operator scaling dimensions, with good agreement. We also compute the low frequency and temperature behavior of gauge-invariant observables: the electron Green's function, the local spin susceptibility and the optical conductivity; along with the temperature dependence of the d.c. resistivity. The time reparameterization soft mode (equivalent to the boundary graviton in holographically dual models of two-dimensional quantum gravity) makes important contributions to all observables, and provides a linear-in-temperature contribution to the d.c. resistivity.

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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