标题： 扩展的 d+id 波配对哈密顿量的可积性 显示英文标题

标题： Integrability of an extended d+id-wave pairing Hamiltonian

摘要： 我们引入了一个可积的哈密顿量，它是扩展的d+id波配对模型。可积性是从与理查森-高丁(s波)配对模型的对偶关系中推导出来的，并且与此相关存在精确的Bethe假设解。我们使用连续极限方法研究了这个系统，并通过Bethe假设解得到了相应的奇异积分方程并加以求解。我们还进行了平均场分析，并展示了这两种方法在连续极限下的基态结果是一致的。我们确定了可积系统中激发谱无隙的情况，并通过平均场分析讨论了它与具有d+id波配对相互作用的非可积模型的联系。 显示英文摘要

摘要： We introduce an integrable Hamiltonian which is an extended d+id-wave pairing model. The integrability is deduced from a duality relation with the Richardson-Gaudin (s-wave) pairing model, and associated to this there exists an exact Bethe ansatz solution. We study this system using the continuum limit approach and solve the corresponding singular integral equation obtained from the Bethe ansatz solution. We also conduct a mean-field analysis and show that results from these two approaches coincide for the ground state in the continuum limit. We identify instances of the integrable system where the excitation spectrum is gapless, and discuss connections to non-integrable models with d+id-wave pairing interactions through the mean-field analysis.