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Kang-jie Shi

Publications and source records attributed to Kang-jie Shi.

8 recordsLinked to original sources
arXiv2002

Exact solutions and elementary excitations in the XXZ spin chain with unparallel boundary fields

By using a set of gauge transformations, the exact solutions of the XXZ spin chain with unparallel boundary magnetic fields are derived in the framework of the algebraic Bethe ansatz. In the easy-plane case, we show the elementary excitations are some kind of spinons without definite spin because the U(1) symmetry is broken, while in the easy-axis ferromagnetic case a spiral state is realized in the ground state. The correlation functions, the spin torque as well as the spin voltage for the later case are also derived.

cond-mat.str-el↗
arXiv1999

The general crossing relation for boundary reflection matrix

In this paper, we give the general crossing relation for boundary reflection matrix $R(β)$, which is the extension of the work given by Ghoshal and Zamolodchikov .We also use the first non-trivial extended crossing relation to determine the scaler factor of $R(β)$ which is the rational diagonal solution to the boundary Yang-Baxter equation in the case of l=2 and n=3.

hep-th↗
arXiv1997

The elliptic quantum algebra $A_{q,p}(\hat {sl_n})$ and its bosonization at level one

We extend the work of Foda et al and propose an elliptic quantum algebra $A_{q,p}(\hat {sl_n})$. Similar to the case of $A_{q,p}(\hat {sl_2})$, our presentation of the algebra is based on the relation $RLL=LLR^*$, where $R$ and $R^*$ are $Z_n$ symmetric R-matrices with the elliptic moduli chosen differently and a factor is also involved. With the help of the results obtained by Asai et al, we realize type I and type II vertex operators in terms of bosonic free fields for $Z_n$ symmetric Belavin model. We also give a bosonization for the elliptic quantum algebra $A_{q,p}(\hat {sl_n})$ at level one.

hep-th↗
arXiv1996

Algebraic Bethe ansatz for eight vertex model with general open-boundary conditions

By using the intertwiner and face-vertex correpondence relation, we obtain the Bethe ansatz equation of eight vertex model with open boundary condtitions in the framework of algebraic Bethe ansatz method. The open boundary condition under consideration is the general solution of the reflection equation for eight vertex model with only one restriction on the free parameters of the right side reflecting boundary matrix. The reflecting boundary matrices used in this paper thus may have off-diagonal elements. Our construction can also be used for the Bethe ansatz of SOS model with reflection boundaries.

hep-th↗