Chern-Simons gauge field theory has provided a natural framework to gain deep insight about many novel phenomena in two-dimensional condensed matter. We investigate the nonequilibrium thermodynamics properties of a (two-dimensional) dissipative harmonic particle when the Abelian topological gauge action and the (linear) Brownian motion dynamics are treated on an equal footing. We find out that the particle exhibits remarkable magneticlike features in the quantum domain that are beyond the celebrated Landau diamagnetism: this could be viewed as the non-relativistic Brownian counterpart of the composite excitation of a charge and magneticlike flux. Interestingly, it is shown that the properties of such flux-carrying Brownian particle are in good agreement with the classical statistical mechanics at sufficient high temperatures, as well as are widely consistent with the Third Law of thermodynamics in the studied dissipative scenarios. Our findings also suggest that its ground state may be far from trivial, i.e. it fakes a seemingly degenerate state.

中文翻译：

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载流布朗粒子的统计物理学

陈-西蒙斯规范场理论为深入了解二维凝聚态物质中的许多新现象提供了一个自然框架。我们研究了当阿贝尔拓扑规范作用和（线性）布朗运动动力学在同等基础上处理时（二维）耗散谐波粒子的非平衡热力学性质。我们发现该粒子在量子域中表现出显着的类磁特征，超出了著名的朗道抗磁性：这可以被视为电荷和类磁通量复合激发的非相对论布朗对应物。有趣的是，研究表明，在足够高的温度下，这种携带通量的布朗粒子的性质与经典统计力学非常吻合，以及在研究的耗散场景中与热力学第三定律广泛一致。我们的研究结果还表明，它的基态可能远非微不足道，即它伪造了一个看似退化的状态。