Anyon超流体中的Rotons
Rotons in Anyon Superfluids
摘要：
考虑非相对论性任意子气体激发谱的计算问题。当任意子具有接近费米子的统计量，并且统计角具有$θ=π(1-\frac{1}{k})$的形式，其中$θ=π(1-\frac{1}{k})$是一个大整数时，这个问题可以用玻色化的方法来解决，该方法将问题映射到耦合到$U(1)$ Chern-Simons规范场的无穷多个玻色激发的问题。光谱由一个戈德斯通玻色子分支和大量的大质量分支组成，每个分支都有旋转子的最小值和最大值。色散曲线在大动量时渐近于朗道能级。
英文摘要：
We consider the problem of calculating the excitation spectrum of a gas of nonrelativistic anyons. When the anyons have statistics close to fermionic and the statistical angle has the form $θ=π(1-\frac{1}{k})$ where $k$ is a large integer, the problem can be solved by employing the method of bosonization, which maps the problem to that of an infinite number of bosonic excitations coupled to a $U(1)$ Chern-Simons gauge field. The spectrum consists of a Goldstone boson branch and a large number of massive branches, each having roton minima and maxima. The dispersion curves asymptote to the Landau levels at large momentum.
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