Models with inverse-square exchange.
Models with inverse-square exchange.
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具有平方反比交换的模型。
DOI：
10.1103/physrevb.46.9359
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发表时间：
1992
期刊：
影响因子：
--
通讯作者：
F. Haldane
中科院分区：
文献类型：
--
作者：
Z. Ha;F. Haldane
本文提出了一个由费米子或玻色子通过平方反交换与SU(N)“自旋”(粒子物理语言中的颜色)相互作用的一维量子N体系统。用Jastrow乘积型波函数构造了模型哈密顿量的连续本征态和晶格本征态。我们构造的这类状态对应于模型的基态和低能激发，可以用有效的简谐流体哈密顿量来描述。通过展开基态能量，我们得到了简谐流体参数(即电荷、自旋速度等)。明确地说。还得到了关联指数和可压缩性。不出所料，在电荷速度和自旋速度之间满足一般的调和关系[即${\mathit{v}}_{\mathit{S}}$=(${\mathit{v}}_{\mathit{N}}$${\mathit{v}}_{\mathit{J}}$${)}^{1/2}$]。
A one-dimensional quantum N-body system of either fermions or bosons with SU(n) ``spins'' (or colors in particle physics language) interacting via inverse-square exchange is presented in this paper. A class of eigenstates of both the continuum and lattice version of the model Hamiltonians is constructed in terms of the Jastrow-product-type wave function. The class of states we construct in this paper corresponds to the ground state and the low-energy excitations of the model that can be described by the effective harmonic fluid Hamiltonian. By expanding the energy about the ground state we find the harmonic fluid parameters (i.e., the charge, spin velocities, etc.) explicitly. The correlation exponent and the compressibility are also found. As expected, the general harmonic relation [i.e., ${\mathit{v}}_{\mathit{S}}$=(${\mathit{v}}_{\mathit{N}}$${\mathit{v}}_{\mathit{J}}$${)}^{1/2}$] is satisfied among the charge and spin velocities.