On the ground state energy for a magnetic Schrödinger operator and the effect of the DeGennes boundary condition

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.

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The ground state energy of the ±J spin glass from the genetic algorithm

Journal de Physique I ◽

10.1051/jp1:1994112 ◽

1994 ◽

Vol 4 (9) ◽

pp. 1281-1285 ◽

Cited By ~ 15

Author(s):

P. Sutton ◽

D. L. Hunter ◽

N. Jan

Keyword(s):

Genetic Algorithm ◽

Spin Glass ◽

Ground State Energy ◽

Ground State ◽

State Energy

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GROUND-STATE ENERGY OF FRÖHLICH ELECTRON-PHONON SYSTEM

Le Journal de Physique Colloques ◽

10.1051/jphyscol:19816140 ◽

1981 ◽

Vol 42 (C6) ◽

pp. C6-481-C6-483

Author(s):

Chih-Yuan Lu

Keyword(s):

Ground State Energy ◽

Ground State ◽

State Energy

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POLARON IN A QUANTUM DOT UNDER AN ELECTRIC FIELD

Modern Physics Letters B ◽

10.1142/s0217984907014012 ◽

2007 ◽

Vol 21 (24) ◽

pp. 1635-1642

Author(s):

MIAN LIU ◽

WENDONG MA ◽

ZIJUN LI

Keyword(s):

Quantum Dot ◽

Electric Field ◽

Field Intensity ◽

Ground State Energy ◽

Ground State ◽

Electric Field Intensity ◽

State Energy ◽

Theoretical Study ◽

The Moment ◽

Transformation Methods

We conducted a theoretical study on the properties of a polaron with electron-LO phonon strong-coupling in a cylindrical quantum dot under an electric field using linear combination operator and unitary transformation methods. The changing relations between the ground state energy of the polaron in the quantum dot and the electric field intensity, restricted intensity, and cylindrical height were derived. The numerical results show that the polar of the quantum dot is enlarged with increasing restricted intensity and decreasing cylindrical height, and with cylindrical height at 0 ~ 5 nm , the polar of the quantum dot is strongest. The ground state energy decreases with increasing electric field intensity, and at the moment of just adding electric field, quantum polarization is strongest.

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Effects of a scattering center on the ground-state energy of quantum-dot lithium

Modern Physics Letters B ◽

10.1142/s0217984917500713 ◽

2017 ◽

Vol 31 (07) ◽

pp. 1750071

Author(s):

Z. D. Vatansever ◽

S. Sakiroglu ◽

I. Sokmen

Keyword(s):

Quantum Dot ◽

Ground State Energy ◽

Ground State ◽

State Energy ◽

Electronic Charge ◽

Strongly Correlated ◽

Configuration Interaction Method ◽

Charge Localization ◽

Scattering Center ◽

Spin Properties

In this paper, the effects of a repulsive scattering center on the ground-state energy and spin properties of a three-electron parabolic quantum dot are investigated theoretically by means of configuration interaction method. Phase transition from a weakly correlated regime to a strongly correlated regime is examined from several strengths and positions of Gaussian impurity. Numerical results reveal that the transition from spin-1/2 to spin-3/2 state depends strongly on the location of the impurity which accordingly states the controllability of the spin polarization. Moreover, broken circular symmetry results in more pronounced electronic charge localization.

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