The effect of the finite size of ions and Debye layer overspill on the screened Coulomb interactions between charged flat plates

2020 ◽  
Vol 41 (7-8) ◽  
pp. 607-614
Author(s):  
Arghyadeep Paul ◽  
Siddhartha Mukherjee ◽  
Jayabrata Dhar ◽  
Sandip Ghosal ◽  
Suman Chakraborty
Keyword(s):  
Finite Size ◽  
Coulomb Interactions ◽  
Flat Plates ◽  
Debye Layer

scholarly journals NOVEL PHENOMENA IN CHARGED BOSE LIQUID

1998 ◽  
Vol 13 (12) ◽  
pp. 987-994 ◽  
Author(s):  
KIMYEONG LEE ◽  
OLEG TCHERNYSHYOV
Keyword(s):  
Charge Density ◽  
Density Wave ◽  
Finite Size ◽  
Charge Density Waves ◽  
Two Dimensions ◽  
Coulomb Interactions ◽  
Density Waves ◽  
Boson Exchange ◽  
Bose Liquid ◽  
Uniform Background

We investigate charged Bose liquid immersed in uniform background charge at zero temperature. Novel phenomena, such as oscillatory shielding of external localized electric charge, rotons and charge density waves (charge stripes in two dimensions), occur in any dimensions. Oscillatory shielding is caused by mixing between scalar boson exchange and Coulomb interactions, which mediate opposite forces. On the other hand, rotons and charge density waves are due to attractive local self-interaction of bosons. Rotons can be regarded as a finite size charge density wave packet without any back flow. We also comment on charge stripes observed recently in cuprates and nickelates.

scholarly journals Hidden Charge Orders in Low-Dimensional Mott Insulators

2019 ◽  
Vol 9 (4) ◽  
pp. 784
Author(s):  
Serena Fazzini ◽  
Arianna Montorsi
Keyword(s):  
Hubbard Model ◽  
Density Wave ◽  
Finite Size ◽  
Charge Order ◽  
Mott Insulators ◽  
Coulomb Interactions ◽  
Non Local ◽  
Low Dimensional ◽  
A Charge ◽  
Insulating Phase

The opening of a charge gap driven by interaction is a fingerprint of the transition to a Mott insulating phase. In strongly correlated low-dimensional quantum systems, it can be associated to the ordering of hidden non-local operators. For Fermionic 1D models, in the presence of spin–charge separation and short-ranged interaction, a bosonization analysis proves that such operators are the parity and/or string charge operators. In fact, a finite fractional non-local parity charge order is also capable of characterizing some two-dimensional Mott insulators, in both the Fermionic and the bosonic cases. When string charge order takes place in 1D, degenerate edge modes with fractional charge appear, peculiar of a topological insulator. In this article, we review the above framework, and we test it to investigate through density-matrix-renormalization-group (DMRG) numerical analysis the robustness of both hidden orders at half-filling in the 1D Fermionic Hubbard model extended with long range density-density interaction. The preliminary results obtained at finite size including several neighbors in the case of dipolar, screened and unscreened repulsive Coulomb interactions, confirm the phase diagram of the standard extended Hubbard model. Besides the trivial Mott phase, the bond ordered and charge density wave insulating phases are also not destroyed by longer ranged interaction, and still manifest hidden non-local orders.

scholarly journals Comment on “The role of electron-electron interactions in two-dimensional Dirac fermions”

Science ◽  
2019 ◽  
Vol 366 (6470) ◽  
pp. eaav6869 ◽  
Author(s):  
S. Hesselmann ◽  
T. C. Lang ◽  
M. Schuler ◽  
S. Wessel ◽  
A. M. Läuchli
Keyword(s):  
Critical Point ◽  
Quantum Critical Point ◽  
Finite Size ◽  
Numerical Data ◽  
Research Articles ◽  
Fermi Velocity ◽  
Dirac Fermions ◽  
Two Dimensional ◽  
Coulomb Interactions

Tang et al. (Research Articles, 10 August 2018, p. 570) report on the properties of Dirac fermions with both on-site and Coulomb interactions. The substantial decrease, up to ~40%, of the Fermi velocity of Dirac fermions with on-site interaction is inconsistent with the numerical data near the Gross-Neveu quantum critical point. This results from an inappropriate finite-size extrapolation.

scholarly journals Stored Coulomb Self-Energy of a Uniformly Charged Rectangular Plate

2016 ◽  
Vol 2016 ◽  
pp. 1-8 ◽  
Author(s):  
Orion Ciftja
Keyword(s):  
Rectangular Plate ◽  
Finite Size ◽  
Exact Result ◽  
Exact Expression ◽  
Consumer Electronics ◽  
Electrostatic Energy ◽  
Current Status ◽  
Flat Plates ◽  
Arbitrary Length ◽  
Self Energy

A large number of electronic devices contain charged, flat plates (electrodes) as their components. The approximation of considering such components as infinitely large plates is not satisfactory for the current status of consumer electronics where size is now extremely small. In particular, the nanotechnology revolution has made the fabrication of truly finite systems with arbitrary shape and characteristic lengths that measure in nanometers possible. As a result the only accurate approach for such situations is to consider the system realistically as one with a finite size extent. In this work we calculate the amount of electrostatic energy that is stored in a charged finite size electrode that is modelled as a uniformly charged rectangular plate with arbitrary length and width. Nontrivial mathematical transformations allow us to derive a closed form exact expression for the Coulomb self-energy of such a system as a function of its length and width (therefore, shape, too). The exact result derived can be useful to understand the storage process of electrostatic energy as a function of size/shape in uniformly charged plate systems. The result also applies to calculations that deal with the properties of a finite two-dimensional electron gas within the jellium model where the finite jellium domain can have an arbitrary rectangular shape.

The partial realization theory of finite size two-dimensional arrays

1981 ◽  
Vol 64 (10) ◽  
pp. 1-8
Author(s):  
Tsuyoshi Matsuo ◽  
Yasumichi Hasegawa ◽  
Yoshikuni Okada
Keyword(s):  
Finite Size ◽  
Two Dimensional ◽  
Realization Theory
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