The nested Bethe ansatz (BA) method is applied to find the eigenvalues and the eigenvectors of the transfer matrix for spin-ladder model with open boundary conditions. Based on the reflection equation, we find the gen...The nested Bethe ansatz (BA) method is applied to find the eigenvalues and the eigenvectors of the transfer matrix for spin-ladder model with open boundary conditions. Based on the reflection equation, we find the general diagonal solution, which determines the generalboundary interaction in the Hamiltonian. We introduce the spin-ladder model with open boundary conditions. By finding the solution K± of the reflection equation which determines the nontrivial boundary terms in the Hamiltonian, we diagonalize the transfer matrix of the spin-ladder model with open boundary conditions in the framework of nested BA.展开更多
With the help of the Drinfeld twist or factorizing F-matrix for the eight-vertex solid-on-solid(SOS) model,we find that in the F-basis provided by the twist the two sets of pseudo-particle creation operators simultane...With the help of the Drinfeld twist or factorizing F-matrix for the eight-vertex solid-on-solid(SOS) model,we find that in the F-basis provided by the twist the two sets of pseudo-particle creation operators simultaneously take completely symmetric and polarization free form.This allows us to obtain the explicit and completely symmetric expressions of the two sets of Bethe states of the model.展开更多
文摘The nested Bethe ansatz (BA) method is applied to find the eigenvalues and the eigenvectors of the transfer matrix for spin-ladder model with open boundary conditions. Based on the reflection equation, we find the general diagonal solution, which determines the generalboundary interaction in the Hamiltonian. We introduce the spin-ladder model with open boundary conditions. By finding the solution K± of the reflection equation which determines the nontrivial boundary terms in the Hamiltonian, we diagonalize the transfer matrix of the spin-ladder model with open boundary conditions in the framework of nested BA.
基金The National Natural Science Foundation of China(11071002)the Program for NewCentury Excellent Talents in University,Key Project of Chinese Ministry of Education(210091)+5 种基金the Specialized Research Fund for the Doctoral Program of Higher Education(20103401110002)the Science andTechnological Fund of Anhui Province for Outstanding Youth(10040606Y33)the Project of Anhui Prov-ince for Excellent Young Talents in Universities(2009SQRZ017ZD)the Project of Educational Departmentof Anhui Province(KJ2010B136)the Scientific Research Fund for Fostering Distinguished Young Scholars of Anhui University(KJJQ1001)the Project for Academic Innovation Team of Anhui University(KJTD001B)
基金Supported by the National Natural Science Foundation of China under Grant Nos. 11075126,11047179,and 11031005Australian Research Council and the Northwest University Graduate Cross-Discipline Fund (10YJC15) are gratefully acknowledged
文摘With the help of the Drinfeld twist or factorizing F-matrix for the eight-vertex solid-on-solid(SOS) model,we find that in the F-basis provided by the twist the two sets of pseudo-particle creation operators simultaneously take completely symmetric and polarization free form.This allows us to obtain the explicit and completely symmetric expressions of the two sets of Bethe states of the model.
