Moonsun Pervez Sheikh, Mandal Saptarshi
Institute of Physics, Sachivalaya Marg, Bhubaneswar 751005, India.
Homi Bhabha National Institute, Training School Complex, Anushakti Nagar, Mumbai 400094, India.
J Phys Condens Matter. 2024 Oct 22;37(2). doi: 10.1088/1361-648X/ad841b.
We perform a systematic and exact study of Majorana fermion dynamics in the Kitaev-Heisenberg-Γ model in a few finite-size clusters increasing in size up to twelve sites. We employ exact Jordan-Wigner transformations to evaluate certain measures of Majorana fermion correlation functions, which effectively capture matter and gauge Majorana fermion dynamics in different parameter regimes. An external magnetic field is shown to produce a profound effect on gauge fermion dynamics. Depending on certain non-zero choices of other non-Kitaev interactions, it can stabilise it to its non-interacting Kitaev limit. For all the parameter regimes, gauge fermions are seen to have slower dynamics, which could help build approximate decoupling schemes for appropriate mean-field theory. The probability of Majorana fermions returning to their original starting site shows that the Kitaev model in small clusters can be used as a test bed for the quantum speed limit.
我们对Kitaev - Heisenberg - Γ模型中马约拉纳费米子动力学进行了系统且精确的研究，该研究针对几个有限尺寸的团簇，尺寸逐渐增大至十二个格点。我们采用精确的约旦 - 维格纳变换来评估马约拉纳费米子关联函数的某些度量，这些度量有效地捕捉了不同参数区域中物质和规范马约拉纳费米子的动力学。结果表明，外部磁场对规范费米子动力学有深远影响。根据其他非Kitaev相互作用的某些非零选择，它可以将其稳定到非相互作用的Kitaev极限。对于所有参数区域，规范费米子的动力学似乎较慢，这有助于为适当的平均场理论构建近似解耦方案。马约拉纳费米子回到其原始起始位置的概率表明，小团簇中的Kitaev模型可作为量子速度极限的测试平台。
