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 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.

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

Integrable Extensions of Hubbard Hamiltonian

1997 ◽  
Vol 11 (26n27) ◽  
pp. 3207-3222
Author(s):  
A. Avakyan ◽  
T. Hakobyan ◽  
A. Sedrakyan
Keyword(s):  
Tensor Product ◽  
Quantum Group ◽  
Ground State ◽  
Spin Chain ◽  
Spin Chains ◽  
Group Symmetry ◽  
Pairing Mechanism ◽  
Hubbard Hamiltonian ◽  
Exact Ground State ◽  
The Family

We construct the family of spin-chain Hamiltonians, which have affine quantum group symmetry Uqĝ. Their eigenvalues coincide with the eigenvalues of the usual spin-chain Hamiltonians, but have the degeneracy of levels, corresponding to affine Uqĝ. The space of states of these spin-chains is formed by the tensor product of fully reducible representations. The fermionic representations of spin-chain Hamiltonians, which have affine quantum group symmerty, was consructed. They correspond to new extensions of Hubbard Hamiltonians. The exact ground state of some examples is presented, exhibiting superconducting behavior via η-pairing mechanism.

Sign in / Sign up

Export Citation Format

Share Document