Self-consistent equations for the two-dimensional non-neutral Coulomb gas and vortex fluctuations

1993 ◽  
Vol 218 (1-2) ◽  
pp. 94-102 ◽  
Author(s):  
Lifang Xu ◽  
Petter Minnhagen
Keyword(s):  
Coulomb Gas ◽  
Two Dimensional ◽  
Self Consistent ◽  
Vortex Fluctuations

On self-consistent thermal equilibrium structures in two–dimensional negative-temperature systems

1994 ◽  
Vol 72 (9-10) ◽  
pp. 618-624 ◽  
Author(s):  
Nikolay K. Martinov ◽  
Nikolay K. Vitanov
Keyword(s):  
Thermal Equilibrium ◽  
Negative Temperature ◽  
Coulomb Gas ◽  
Elementary Cell ◽  
Positive Temperature ◽  
Two Dimensional ◽  
Thermal Equilibrium State ◽  
Self Consistent ◽  
Poisson Boltzmann ◽  
Poisson Boltzmann Equation

Two-dimensional negative-temperature systems described by means of analytical solutions of the Poisson–Boltzmann equation are investigated. It is shown that two kinds of doubly periodic self-consistent structures can exist. The structures obtained confirm the prediction of equilibrium statistical mechanics that no spatially homogeneous thermal equilibrium state for negative-temperature systems exists. The structures investigated are similar to the two kinds of structures in a two-dimensional, two-component positive-temperature Coulomb gas but the location of the elements of the system within the region of the elementary cell of the structure is different. By means of the approach developed in this paper the parameters of the structures, the self-consistent potential, the corresponding charge density, and the energy of the negative-temperature structures can be calculated.

MAGNETIC PAIRING IN TWO-DIMENSIONAL ANTIFERROMAGNETIC XY MODEL

1989 ◽  
Vol 03 (01) ◽  
pp. 65-76
Author(s):  
K. Y. SZETO
Keyword(s):  
High Temperature ◽  
Coulomb Repulsion ◽  
Coulomb Gas ◽  
The Self ◽  
Xy Model ◽  
Two Dimensional ◽  
Pairing Mechanism ◽  
Spin Variable ◽  
Self Consistent ◽  
Magnetic Pairing

A two-dimensional Ising Coulomb gas is introduced to describe the frustrated plaquettes of the two-dimensional antiferromagnetic XY model with Coulomb repulsion. The Ising spin variable corresponds to the two possible chiralities of the frustrated plaquettes, which repel each other with a screened Coulomb potential. Using the self-consistent screening analysis, the Ising Coulomb gas is shown to have a Kosterlitz-Thouless transition from a pairing phase at low temperature to a plasma phase at high temperature. The phase diagram is obtained numerically as a function of density and relative strength of the attraction between particles of opposite chiralities and the Coulomb repulsion. Possible applications to the magnetic pairing mechanism of high temperature superconductors is discussed in the context of Li doped La 2 CuO 4. It is also argued that the Aharony et al. model of magnetic pairing with the dipolar attraction can be derived as a special case of the Ising Coulomb gas model and is superceded by a stronger attractive interaction in magnetic pairing mechanism in the self-consistent analysis.

Low-density phase diagram of the two-dimensional Coulomb gas

1986 ◽  
Vol 33 (1) ◽  
pp. 499-509 ◽  
Author(s):  
J. M. Caillol ◽  
D. Levesque
Keyword(s):  
Phase Diagram ◽  
Coulomb Gas ◽  
Low Density ◽  
Two Dimensional

CESIUM-INDUCED QUANTIZED 2D ELECTRON CHANNEL ON THE InAs(110) SURFACE

1995 ◽  
Vol 02 (06) ◽  
pp. 723-729 ◽  
Author(s):  
V. YU. ARISTOV ◽  
G. LE LAY ◽  
M. GREHK ◽  
V.M. ZHILIN ◽  
A. TALEB-IBRAHIMI ◽  
...  
Keyword(s):  
Electron Emission ◽  
Electronic States ◽  
Photoemission Spectroscopy ◽  
Spectral Features ◽  
Two Dimensional ◽  
Dimensional Electron ◽  
Discrete Energy ◽  
Electron Channel ◽  
Self Consistent ◽  
Electron Photoemission

We present the first clear evidence of electron emission arising directly from a quantized two-dimensional electron channel from the InAs (110) surface covered by a few Cs atoms (≈ 0.01 Cs ML). Spectral features observed by photoemission spectroscopy using synchrotron radiation reveal discrete-energy electronic states resulting from quantization in the direction normal to the surface. The electron photoemission originates from the vicinities of [Formula: see text] points in the first and second surface Brillouin zones corresponding to the bottom of the conduction band. These findings are in agreement with self-consistent theoretical energy-level calculations using a jellium-like model.

scholarly journals Variance of Voltages in a Lattice Coulomb Gas

2021 ◽  
Vol 186 (1) ◽  
Author(s):  
Diana Conache ◽  
Markus Heydenreich ◽  
Franz Merkl ◽  
Silke W. W. Rolles
Keyword(s):  
High Temperature ◽  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Temperature Regime ◽  
Gaussian Model ◽  
Coulomb Gas ◽  
Two Dimensional ◽  
Discrete Gaussian Model ◽  
Dimensional Lattice ◽  
The Difference

AbstractWe study the behavior of the variance of the difference of energies for putting an additional electric unit charge at two different locations in the two-dimensional lattice Coulomb gas in the high-temperature regime. For this, we exploit the duality between this model and a discrete Gaussian model. Our estimates follow from a spontaneous symmetry breaking in the latter model.

First-order transition in the dense two-dimensional classical Coulomb gas

1993 ◽  
Vol 48 (16) ◽  
pp. 12304-12307 ◽  
Author(s):  
Guang-Ming Zhang ◽  
Hong Chen ◽  
Xiang Wu
Keyword(s):  
Coulomb Gas ◽  
Order Transition ◽  
Two Dimensional ◽  
First Order ◽  
First Order Transition ◽  
Classical Coulomb Gas
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