非厄米BCS模型的量子临界性和广义不相容统计
Deconfined quantum criticality and generalised exclusion statistics in a non-hermitian BCS model
摘要：
我们提出了一个配对哈密顿量的Bardeen-Cooper-Schrieffer形式，它具有两个量子临界线的解除限制的激发。这一结论是由精确的贝特方程的模型，其中承认一类简单的，解析解。解除限制的激发服从广义不相容统计。哈密顿量的一个显著性质是它是非厄米的。虽然它没有一个真正的光谱的所有选择的耦合参数，我们提供了一个严格的论据，建立真正的光谱发生在临界线。发现临界线在重整化群映射下是不变的。
英文摘要：
We present a pairing Hamiltonian of the Bardeen-Cooper-Schrieffer form which exhibits two quantum critical lines of deconfined excitations. This conclusion is drawn using the exact Bethe ansatz equations of the model which admit a class of simple, analytic solutions. The deconfined excitations obey generalised exclusion statistics. A notable property of the Hamiltonian is that it is non-hermitian. Although it does not have a real spectrum for all choices of coupling parameters, we provide a rigorous argument to establish that real spectra occur on the critical lines. The critical lines are found to be invariant under a renormalisation group map.
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