幻点处的耗散Hofstadter模型和临界边界Sine-Gordon模型
Dissipative Hofstadter Model at the Magic Points and Critical Boundary Sine-Gordon Model
摘要：
耗散Hofstadter模型描述了量子粒子在均匀磁场、周期势和耗散力作用下的二维运动。在弦论边界态表述的框架下讨论了耗散的Hofstadter模型，并利用费米子表象构造了模型在幻点处的精确边界态.耗散Hofstadter模型在魔点被证明是等价的临界边界sine-Gordon模型。
英文摘要：
The dissipative Hofstadter model describes quantum particles moving in two dimensions subject to a uniform magnetic field, a periodic potential and a dissipative force. We discuss the dissipative Hofstadter model in the framework of the boundary state formulation in string theory and construct exact boundary states for the model at the magic points by using the fermion representation. The dissipative Hofstadter model at magic points is shown to be equivalent to the critical boundary sine-Gordon model.
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。
