EXACT VALUE OF THE GROUND STATE ENERGY OF THE LINEAR ANTIFERROMAGNETIC HEISENBERG CHAIN WITH NEAREST AND NEXT-NEARESTNEIGHBOUR INTERACTIONS P.M. van den BROEK Department ofAppliedPhysics, Twente Universityof Technology, Enschede, The Netherlands Received4 March 1980 It is shown that the ground state energyof the hamiltonian H E Si-S~+i+ ~'ES~
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Read more...Exact many-electron ground states on triangle, diamond, and pentagon Hubbard chains Dieter Vollhardt Supported by Deutsche Forschungsgemeinschaft through SFB 484 Yukawa International Conference 2007 on "Interaction and Nanostructural Effects in Low-Dimensional Systems" Kyoto; November 21, 2007
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Read more...We construct exact ground states of interacting electrons on triangle and diamond Hubbard chains. The construction requires (i) a rewriting of the Hamiltonian into positive semidefinite form, (ii) the construction of a many-electron ground state of this Hamiltonian, and (iii) the proof of the uniqueness of the ground state. This approach works in any dimension, requires no integrability of the ...
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Read more...Exact ground state Note that h is simply the diagonal matrix of zeroth-order eigenvalues In the following, it will be assumed that the zeroth-order eigenfunction a reasonably good approximation to the exact ground-state wavefiinction (meaning that Xfi, and h and v will be written in the compact representations... The exact ground-state eigenvalue and corresponding eigenvector...
Read more...We construct a class of exact ground states for correlated electrons on pentagon chains in the high density region and discuss their physical properties. In this procedure the Hamiltonian is first cast in a positive semidefinite form using composite operators as a linear combination of creation operators acting on the sites of finite blocks. In the same step, the interaction is also ...
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Read more...Exact ground-state correlation functions of one-dimensional strongly correlated electron models with resonating-valence-bond ground state. Journal of Statistical Physics, 1996. M. Kohmoto. Yasuhiro Hatsugai. M. Kohmoto. Yasuhiro Hatsugai. Download PDF. Download Full PDF Package. This paper.
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Read more...Download Citation | Exact ground states for interacting Kitaev chains | We introduce a frustration-free, one-dimensional model of spinless fermions with hopping, p-wave superconducting pairing and ...
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