标题： 一个可积$J_1-J_2$自旋链模型的精确解 显示英文标题

标题： Exact solution of an integrable $J_1-J_2$ spin chain model

摘要： 构建了一个具有最近邻耦合、次近邻耦合以及Dzyaloshinski-Moriya相互作用的可积海森堡自旋链。 证明了该模型的可积性。 基于Bethe Ansatz解，研究了基态和元激发。 结果显示，该系统的自旋子激发谱具有一种新的三重拱结构。 本文提供的方法可以推广到构造具有次近邻耦合的新可积模型。 显示英文摘要

摘要： An integrable Heisenberg spin chain with nearest-neighbour couplings, next-nearest-neighbour couplings and Dzyaloshinski-Moriya interacton is constructed. The integrability of the model is proven. Based on the Bethe Ansatz solutions, the ground state and the elementary excitations are studied. It is shown that the spinon excitation spectrum of the present system possesses a novel triple arched structure. The method provided in this paper is general to construct new integrable models with next-nearest-neighbour couplings.