scholarly journals Structure and spectrum of classical two-dimensional clusters with a logarithmic interaction potential

2004 ◽  
Vol 69 (24) ◽  
Author(s):  
B. Partoens ◽  
P. Singha Deo
Keyword(s):  
Interaction Potential ◽  
Two Dimensional ◽  
Logarithmic Interaction

scholarly journals Deformation of the Fermi surface of a spinless two-dimensional electron gas in presence of an anisotropic Coulomb interaction potential

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Orion Ciftja
Keyword(s):  
Fermi Surface ◽  
Coulomb Interaction ◽  
Interaction Potential ◽  
Fermi Liquid ◽  
Energy State ◽  
Electron Gas ◽  
Two Dimensional ◽  
Dimensional Electron ◽  
Two Dimensional Electron Gas ◽  
Dimensional Electron Gas

AbstractWe consider the stability of the circular Fermi surface of a two-dimensional electron gas system against an elliptical deformation induced by an anisotropic Coulomb interaction potential. We use the jellium approximation for the neutralizing background and treat the electrons as fully spin-polarized (spinless) particles with a constant isotropic (effective) mass. The anisotropic Coulomb interaction potential considered in this work is inspired from studies of two-dimensional electron gas systems in the quantum Hall regime. We use a Hartree–Fock procedure to obtain analytical results for two special Fermi liquid quantum electronic phases. The first one corresponds to a system with circular Fermi surface while the second one corresponds to a liquid anisotropic phase with a specific elliptical deformation of the Fermi surface that gives rise to the lowest possible potential energy of the system. The results obtained suggest that, for the most general situations, neither of these two Fermi liquid phases represent the lowest energy state of the system within the framework of the family of states considered in this work. The lowest energy phase is one with an optimal elliptical deformation whose specific value is determined by a complex interplay of many factors including the density of the system.

scholarly journals POSSIBLE NEW BUBBLE PHASES OF TWO-DIMENSIONAL ELECTRONS IN HIGHER LANDAU LEVELS

2004 ◽  
Vol 18 (27n29) ◽  
pp. 3645-3648
Author(s):  
A. M. ETTOUHAMI ◽  
F. D. KLIRONOMOS ◽  
A. T. DORSEY
Keyword(s):  
Interaction Potential ◽  
Specific Form ◽  
Sample Thickness ◽  
Landau Levels ◽  
Two Dimensional ◽  
Finite Sample

We argue that, due to the specific form of the interaction potential between electronic guiding centers, a bubble crystal (BC) with basis may be energetically more favorable than the usual bubble solid. This new BC has well-defined normal eigenmodes, and remains energetically favorable when the effects of finite sample thickness and of screening by electrons in lower LLs are taken into account.

scholarly journals Properties of 2:2 Chalcogenide Crystals with Sodium Chloride Structure

1977 ◽  
Vol 30 (3) ◽  
pp. 325 ◽  
Author(s):  
KP Thakur
Keyword(s):  
Sodium Chloride ◽  
Potential Energy ◽  
Interaction Potential ◽  
Energy Function ◽  
Potential Energy Function ◽  
Absorption Frequency ◽  
Method Of Calculation ◽  
Logarithmic Interaction ◽  
Interaction Potential Energy ◽  
Potential Parameters

Values of the compressibility, cohesive energy, atomization energy, force constant, i.r. absorption frequency, Debye temperature, Griineisen parameter, Anderson-Griineisen parameter and MoelwynHughes parameter for 45 chalcogenide crystals with sodium chloride structure are reported here. These have been obtained using a logarithmic interaction potential energy function. A new method of calculation, derived on the basis of the Moelwyn-Hughes parameter, has been employed for the computation of the potential parameters, since previous methods cannot be applied to these crystals in the absence of compressibility data. The results obtained are encouraging.

scholarly journals A NOTE ON QUANTUM BOHLIN TRANSFORMATION

1996 ◽  
Vol 11 (19) ◽  
pp. 1605-1610 ◽  
Author(s):  
A. NERSESSIAN ◽  
V. TER-ANTONYAN ◽  
M. TSULAIA
Keyword(s):  
Hydrogen Atom ◽  
Group Action ◽  
Interaction Potential ◽  
Magnetic Vortex ◽  
Quantum Oscillator ◽  
Dimensional System ◽  
Two Dimensional ◽  
Central Potential ◽  
Two Dimensional System ◽  
A Charge

It is shown that the reduction of the circular quantum oscillator by the Z2 group action results in the two systems: a two-dimensional hydrogen atom, and a “charge-charged magnetic vortex” one, with spin-1/2. Analogously, the ZN reduction of the two-dimensional system with the central potential r2(N–1) results into N bound “charge-magnetic vertex” systems with the interaction potential r2(1/N–1) and spins [Formula: see text]k = 0, 1,…, N - 1.

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