scholarly journals Exact ground state and elementary excitations of a competing spin chain with twisted boundary condition

2022 ◽  
pp. 115663
Author(s):  
Wei Wang ◽  
Yi Qiao ◽  
Junpeng Cao ◽  
Wu-Ming Liu ◽  
Rong-Hua Liu
Keyword(s):  
Boundary Condition ◽  
Ground State ◽  
Spin Chain ◽  
Elementary Excitations ◽  
Exact Ground State ◽  
Twisted Boundary Condition

scholarly journals Thermodynamic limit of the spin-$$ \frac{1}{2} $$ XYZ spin chain with the antiperiodic boundary condition

2020 ◽  
Vol 2020 (12) ◽  
Author(s):  
Zhirong Xin ◽  
Yusong Cao ◽  
Xiaotian Xu ◽  
Tao Yang ◽  
Junpeng Cao ◽  
...  
Keyword(s):  
Boundary Condition ◽  
Bethe Ansatz ◽  
Thermodynamic Limit ◽  
Ground State Energy ◽  
Ground State ◽  
Spin Chain ◽  
State Energy ◽  
Elementary Excitations ◽  
Antiperiodic Boundary Condition ◽  
Bethe Ansatz Solution

Abstract Based on its off-diagonal Bethe ansatz solution, we study the thermodynamic limit of the spin-$$ \frac{1}{2} $$ 1 2 XYZ spin chain with the antiperiodic boundary condition. The key point of our method is that there exist some degenerate points of the crossing parameter ηm,l, at which the associated inhomogeneous T − Q relation becomes a homogeneous one. This makes extrapolating the formulae deriving from the homogeneous one to an arbitrary η with O(N−2) corrections for a large N possible. The ground state energy and elementary excitations of the system are obtained. By taking the trigonometric limit, we also give the results of antiperiodic XXZ spin chain within the gapless region in the thermodynamic limit, which does not have any degenerate points.

scholarly journals Exact ground state and elementary excitations of a topological spin chain

2020 ◽  
Vol 102 (8) ◽  
Author(s):  
Yi Qiao ◽  
Pei Sun ◽  
Junpeng Cao ◽  
Wen-Li Yang ◽  
Kangjie Shi ◽  
...  
Keyword(s):  
Ground State ◽  
Spin Chain ◽  
Elementary Excitations ◽  
Exact Ground State

scholarly journals THE ELEMENTARY EXCITATIONS OF THE BCS MODEL IN THE CANONICAL ENSEMBLE

2004 ◽  
Vol 19 (supp02) ◽  
pp. 381-395 ◽  
Author(s):  
G. SIERRA ◽  
J. M. ROMÁN ◽  
J. DUKELSKY
Keyword(s):  
Ground State ◽  
Canonical Ensemble ◽  
Elementary Excitations ◽  
Bcs Model ◽  
Large Coupling ◽  
Exact Ground State ◽  
Exactly Solvable ◽  
The Relationship

We summarize previous works on the exact ground state and the elementary excitations of the exactly solvable BCS model in the canonical ensemble. The BCS model is solved by Richardson equations, and, in the large coupling limit, by Gaudin equations. The relationship between this two kinds of solutions is used to classify the excitations.

scholarly journals Correlation functions of the XXZ spin chain with the twisted boundary condition

2020 ◽  
Vol 61 (3) ◽  
pp. 033502
Author(s):  
Yi Qiao ◽  
Zhirong Xin ◽  
Xiaotian Xu ◽  
Kun Hao ◽  
Tao Yang ◽  
...  
Keyword(s):  
Boundary Condition ◽  
Correlation Functions ◽  
Spin Chain ◽  
Twisted Boundary Condition

The Trimer State of a (S=1, S=1/2) Ferrimagnetic Spin Chain as the Exact Ground State

2007 ◽  
Vol 76 (6) ◽  
pp. 065002 ◽  
Author(s):  
Shun Tonooka ◽  
Hiroki Nakano ◽  
Koichi Kusakabe ◽  
Naoshi Suzuki
Keyword(s):  
Ground State ◽  
Spin Chain ◽  
Exact Ground State ◽  
Trimer State

scholarly journals Exact ground state and elementary excitations of the spin tetrahedron chain

2006 ◽  
Vol 74 (17) ◽  
Author(s):  
Shu Chen ◽  
Yupeng Wang ◽  
W. Q. Ning ◽  
Congjun Wu ◽  
H. Q. Lin
Keyword(s):  
Ground State ◽  
Elementary Excitations ◽  
Exact Ground State
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