Pervez Sheikh Moonsun, 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/ad7b93.
Recently, the Kitaev-Heisenberg-Γ system has been used to explore various aspects of Kitaev spin liquid physics. Here, we consider a few small clusters of up to twelve sites and study them in detail to unravel many interesting findings due to the competition between all possible signs and various magnitudes of these interactions under the influence of an external magnetic field. When Heisenberg interaction is taken anti-ferromagnetic, one obtains plateaus in correlation functions where, surprisingly, the exact groundstate reduces to the eigenstate of Heisenberg interaction as well. On the other hand, for ferromagnetic Heisenberg interaction, its competition with Kitaev interaction results in non-monotonicity in the correlation functions. We discuss, in detail, the competing effects on low energy spectrum, flux operator, magnetization, susceptibility, and specific heat. Finally, we discuss how our findings could be helpful to explain some of the recent experimental and theoretical findings in materials with Kitaev interactions.
最近，基塔耶夫 - 海森堡 - Γ 系统已被用于探索基塔耶夫自旋液体物理的各个方面。在此，我们考虑一些多达十二个格点的小团簇，并对其进行详细研究，以揭示由于在外部磁场影响下这些相互作用的所有可能符号和各种强度之间的竞争而产生的许多有趣发现。当海森堡相互作用为反铁磁时，在关联函数中会出现平台，令人惊讶的是，精确基态也会简化为海森堡相互作用的本征态。另一方面，对于铁磁海森堡相互作用，它与基塔耶夫相互作用的竞争导致关联函数出现非单调性。我们详细讨论了对低能谱、磁通算符、磁化强度、磁化率和比热的竞争效应。最后，我们讨论了我们的发现如何有助于解释最近在具有基塔耶夫相互作用的材料中的一些实验和理论发现。
