scholarly journals Interfacial energetics of two-dimensional colloidal clusters generated with a tunable anharmonic interaction potential

2018 ◽  
Vol 2 (2) ◽  
Author(s):  
Elaa Hilou ◽  
Di Du ◽  
Steve Kuei ◽  
Sibani Lisa Biswal
Keyword(s):  
Interaction Potential ◽  
Two Dimensional ◽  
Colloidal Clusters ◽  
Anharmonic Interaction ◽  
Interfacial Energetics

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 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.

scholarly journals Interaction Potential between Parabolic Rotator and an Outside Particle

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Dan Wang ◽  
Yajun Yin ◽  
Jiye Wu ◽  
Xugui Wang ◽  
Zheng Zhong
Keyword(s):  
Interaction Potential ◽  
Numerical Experiments ◽  
Driving Forces ◽  
Three Dimensional ◽  
Pair Potential ◽  
Essential Elements ◽  
Curved Surfaces ◽  
Two Dimensional ◽  
Negative Exponential

At micro/nanoscale, the interaction potential between parabolic rotator and a particle located outside the rotator is studied on the basis of the negative exponential pair potential1/Rnbetween particles. Similar to two-dimensional curved surfaces, we confirm that the potential of the three-dimensional parabolic rotator and outside particle can also be expressed as a unified form of curvatures; that is, it can be written as the function of curvatures. Furthermore, we verify that the driving forces acting on the particle may be induced by the highly curved micro/nano-parabolic rotator. Curvatures and the gradient of curvatures are the essential elements forming the driving forces. Through the idealized numerical experiments, the accuracy of the curvature-based potential is preliminarily proved.

Dissipative non-equilibrium dynamics of self-assembled paramagnetic colloidal clusters

Soft Matter ◽  
2021 ◽  
Author(s):  
Mohammed Elismaili ◽  
Lydiane Bécu ◽  
Hong Xu ◽  
David Gonzalez-Rodriguez
Keyword(s):  
Magnetic Field ◽  
Time Varying ◽  
Two Dimensional ◽  
Equilibrium Dynamics ◽  
Colloidal Clusters ◽  
Self Assembled ◽  
Non Equilibrium

We study experimentally and theoretically the dynamics of two-dimensional clusters of paramagnetic colloids under a time-varying magnetic field.

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