Ground state properties of the degenerate Hubbard chain: 1/N-expansion of the Bethe-Ansatz solution for a lattice system

1990 ◽  
Vol 163 (1-3) ◽  
pp. 398-400 ◽  
Author(s):  
Kong-Ju-Bock Lee ◽  
P. Schlottmann
Keyword(s):  
Bethe Ansatz ◽  
Ground State ◽  
Lattice System ◽  
Ground State Properties ◽  
Bethe Ansatz Solution

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.

Ground state properties and energy parameters of the Anderson lattice system, CeAl2

1979 ◽  
Vol 40 (C5) ◽  
pp. C5-323-C5-325 ◽  
Author(s):  
R. D. Parks ◽  
L. C. Kupferberg ◽  
M. C. Croft ◽  
S. M. Shapiro ◽  
E. Gurewitz
Keyword(s):  
Ground State ◽  
Lattice System ◽  
Energy Parameters ◽  
Ground State Properties

THERMODYNAMICS OF TWO COMPONENT BOSONS IN ONE DIMENSION

2002 ◽  
Vol 16 (14n15) ◽  
pp. 2137-2143 ◽  
Author(s):  
SHI-JIAN GU ◽  
YOU-QUAN LI ◽  
ZU-JIAN YING ◽  
XUE-AN ZHAO
Keyword(s):  
Bethe Ansatz ◽  
Ground State ◽  
Exact Result ◽  
Ferromagnetic State ◽  
Weak Coupling Limit ◽  
One Dimension ◽  
Einstein Condensation ◽  
Two Component ◽  
Bethe Ansatz Solution ◽  
Bose Einstein

On the basis of Bethe ansatz solution of two-component bosons with SU(2) symmetry and δ-function interaction in one dimension, we study the thermodynamics of the system at finite temperature by using the strategy of thermodynamic Bethe ansatz (TBA). It is shown that the ground state is an isospin "ferromagnetic" state by the method of TBA, and at high temperature the magnetic property is dominated by Curie's law. We obtain the exact result of specific heat and entropy in strong coupling limit which scales like T at low temperature. While in weak coupling limit, it is found there is still no Bose-Einstein Condensation (BEC) in such 1D system.

scholarly journals The Folded Spin-1/2 XXZ Model: I. Diagonalisation, Jamming, and Ground State Properties

2021 ◽  
Vol 4 (2) ◽  
Author(s):  
Lenart Zadnik ◽  
Maurizio Fagotti
Keyword(s):  
Time Evolution ◽  
Bethe Ansatz ◽  
Ground State ◽  
Integrable Model ◽  
Translational Symmetry ◽  
Effective Hamiltonian ◽  
Leading Order ◽  
Xxz Model ◽  
Ground State Properties ◽  
Intermediate Time

We study an effective Hamiltonian generating time evolution of states on intermediate time scales in the strong-coupling limit of the spin-1/2 XXZ model. To leading order, it describes an integrable model with local interactions. We solve it completely by means of a coordinate Bethe Ansatz that manifestly breaks the translational symmetry. We demonstrate the existence of exponentially many jammed states and estimate their stability under the leading correction to the effective Hamiltonian. Some ground state properties of the model are discussed.

Ground-State Properties of Superfluid Fermi Gas in Fourier-Synthesized Optical Lattices

2014 ◽  
Vol 31 (3) ◽  
pp. 030301 ◽  
Author(s):  
Yan Chen ◽  
Ke-Zhi Zhang ◽  
Xiao-Liang Wang ◽  
Yong Chen
Keyword(s):  
Ground State ◽  
Optical Lattices ◽  
Fermi Gas ◽  
Superfluid Fermi Gas ◽  
Ground State Properties ◽  
Superfluid Fermi

TABLE OF GROUND STATE PROPERTIES OF NUCLEI IN THE RMF MODEL

2013 ◽  
Vol 28 (16) ◽  
pp. 1350068 ◽  
Author(s):  
TUNCAY BAYRAM ◽  
A. HAKAN YILMAZ
Keyword(s):  
Ground State ◽  
Mean Field ◽  
Properties Of Nuclei ◽  
Relativistic Mean Field ◽  
Ground State Properties ◽  
Pairing Correlations ◽  
Ground State Energies ◽  
Rmf Model

The ground state energies, sizes and deformations of 1897 even–even nuclei with 10≤Z ≤110 have been carried out by using the Relativistic Mean Field (RMF) model. In the present calculations, the nonlinear RMF force NL3* recent refitted version of the NL3 force has been used. The BCS (Bardeen–Cooper–Schrieffer) formalism with constant gap approximation has been taken into account for pairing correlations. The predictions of RMF model for the ground state properties of some nuclei have been discussed in detail.

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