Kitaev honeycomb model 简介1 首先提前祝大家新年快乐。 本篇文章是Kitaev honeycomb model的学习笔记,对这个模型的一些简单特性做了一些归纳,如发现错漏或是有其他comment欢迎在评论区提出。 Kitaev honeycomb model [1]是Kitaev提出的众多模型之一,是一个严格可解的Z2自旋液体 [2][3]。为什么叫Z2自旋液体?为了知...
虽然现在出去开会或者请人来做报告都会和对方说自己是做量子相变,重费米物理和非费米液体的人儿,但其实最早入的强关联坑是著名的Kondo效应,只不过入坑之时Kondo效应除了量子点里面的实验还有一些活跃度之外,理论研…
^Baskaran,Mandal,Shankar,Exact Results for Spin Dynamics and Fractionalization in the Kitaev Model,Phys.Rev.Lett. 98,247201(2007) 发布于 2024-03-24 22:21・甘肃 凝聚态理论 凝聚态物理 赞同285 条评论 分享喜欢收藏申请转载 ...
Motome, Successive Majorana topological transitions driven by a magnetic field in the Kitaev model, Phys. Rev. B 98, 060416(R) (2018) ^D. C. Ronquillo, A. Vengal, and N. Trivedi, Signatures of magnetic-field-driven quantum phase transitions in the entanglement entropy and spin dynamics ...
一个矩阵而非一个数,那么此时该种粒子叫做非阿贝尔(non-Abelian)任意子.在toric-code模型中我们发现体系只有阿贝尔任意子(交换相位是个普通的数),为了给非阿贝尔任意子构造一个可解模型,Kitaev 进一步提出了一个自旋各向异性耦合并定义在六角晶格上的自旋交换模型,现在一般叫做'Kitaev honeycomb model',这是在之前的...
^Otsuka, Yuichi, and Seiji Yunoki. "Kekul\'e valence bond order in the Hubbard model on the honeycomb lattice with possible lattice distortions for graphene." arXiv preprint arXiv:2311.04469 (2023). ^Macris, Nicolas, and Bruno Nachtergaele. "On the flux phase conjecture at half-filling: an...
量子自旋液体(QSL)是一类古怪的量子物态,在这类物态中自旋涨落在零温时也十分强烈,因此系统的基态不显示磁性有序并且基态是非平凡的(例如具有长程的量子纠缠).一类简单的量子自旋液体是所谓的Kitaev量子自旋液体, …
这里,作为一个有趣的练习,我们介绍用Jordan-Wigner变换求解Kitaev自旋阶梯的具体过程并附上相关的matlab代码. 考虑上图所示的Kitaev自旋阶梯模型,体系总计有所示的4×2=8个自旋,其哈密顿量是 H4×2=−Jxσ ^1,1xσ^2,1x−Jyσ ^2,1yσ^3,1y−Jxσ ...
þU model, which has attracted unprecedented effort in the context of high-Tc superconductivity and whose complete phase diagram remains to be determined.) We carry out our study using the constrained path auxiliary field quantum Monte Carlo (AFQMC) technique [22], reaching lattice sizes ...
We study the spin-1/2 Kitaev-Heisenberg (KJ) model in a two-leg ladder. Without a Heisenberg interaction, the Kitaev phase in the ladder model has Majorana fermions with local Z2 gauge fields, and is usually described as a disordered phase without any order parameter. Here we identify a ...