Linked-tetrahedra spin chain: Exact ground state and excitations

1991 ◽  
Vol 43 (10) ◽  
pp. 8644-8645 ◽  
Author(s):  
Martin P. Gelfand
Keyword(s):  
Ground State ◽  
Spin Chain ◽  
Exact Ground State

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

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

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.

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