自旋冰模型中的量子磁振子Hall坪-坪跃迁
Integer Quantum Magnon Hall Plateau-Plateau Transition in a Spin Ice Model
摘要：
二维自旋冰模型中的低能磁振子带变为整数量子磁振子霍尔带。通过计算磁振子输运的定域长度和两端电导，我们证明了无序磁振子带经历了从整数量子磁振子霍尔区到常规磁振子定域区的量子相变.有限尺寸标度分析以及临界电导分布表明，量子临界点与量子霍尔跃迁属于同一普适类。利用强手征边缘磁振子输运理论，研究了无序量子磁振子霍尔系统的热磁振子霍尔电导。
英文摘要：
Low-energy magnon bands in a two-dimensional spin ice model become integer quantum magnon Hall bands. By calculating the localization length and the two-terminal conductance of magnon transport, we show that the magnon bands with disorders undergo a quantum phase transition from an integer quantum magnon Hall regime to a conventional magnon localized regime. Finite size scaling analysis as well as a critical conductance distribution shows that the quantum critical point belongs to the same universality class as that in the quantum Hall transition. We characterize thermal magnon Hall conductivity in disordered quantum magnon Hall system in terms of robust chiral edge magnon transport.
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