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During the reconstruction of the edge of a quantum Hall liquid, Coulomb interaction energy is lowered through the change in the structure of the edge. We use theory developed earlier by one of the authors [K. Yang, Phys. Rev. Lett. 91,…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 A. Melikidze , Kun Yang

Research into electronic nanomaterials has recently seen a growing focus into the synthesis of structures with unconventional curved geometries including bent wires in planar systems and three-dimensional architectures obtained by rolling…

Mesoscale and Nanoscale Physics · Physics 2022-09-15 Paola Gentile , Mario Cuoco , Oleksii M. Volkov , Zu-Jian Ying , Ivan J. Vera-Marun , Denys Makarov , Carmine Ortix

Self-consistent electronic structure calculations, for devices recently fabricated and studied by Zhitenev et al. for capacitance spectroscopy in the quantum Hall regime, demonstrate that reproducible resonances in the coupling between…

Mesoscale and Nanoscale Physics · Physics 2008-02-03 M. Stopa , J. P. Bird

In this chapter we introduce a microscopic modelling of the surplus electrons on the plasma wall which complements the classical description of the plasma sheath. First we introduce a model for the electron surface layer to study the…

Plasma Physics · Physics 2013-03-29 Rafael L. Heinisch , Franz X. Bronold , Holger Fehske

The effect of electric field, applied on systems in the nanoscale regime has attracted a lot of research in recent times. We highlight some of the recent results in the field of single molecule electronics and then move on to focus on some…

Materials Science · Physics 2008-10-11 S. Lakshmi , Sudipta Dutta , Swapan K. Pati

The interplay of electron-electron interaction and confining potential can lead to the reconstruction of fractional quantum Hall edges. We have performed exact diagonalization studies on microscopic models of fractional quantum Hall…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Xin Wan , E. H. Rezayi , Kun Yang

Well over a century after the discovery of the electron, we are still faced with serious conceptual issues regarding precisely what an electron is. Since the development of particle physics and the Standard Model, we have accumulated a…

General Physics · Physics 2015-11-25 Kevin H. Knuth

The electronic properties of thin films present quantum-size effects, which are a consequence of the finite size of the system. Here we focus on the investigation of these effects on the electronic energy loss of charged particles moving…

Materials Science · Physics 2009-10-31 A. Garcia-Lekue , J. M. Pitarke

We describe the effects of electronic perturbation distributed on nearest neighbor sites to the impurity center in a planar \textit{d}-wave superconductor, in approximation of circular Fermi surface. Alike the behavior previously reported…

Superconductivity · Physics 2009-11-10 Yu. G. Pogorelov , M. C. Santos

It is known that homogeneous distribution of particles in Coulomb-like systems can be unstable, and spatially inhomogeneous structures can be formed. A simple method for describing such inhomogeneous systems and obtaining spacial…

Statistical Mechanics · Physics 2015-06-16 B. I. Lev , V. P. Ostroukh , V. B. Tymchyshyn , A. G. Zagorodny

The most important characteristics of the fragmentation of heterogeneous solids is that the mass (size) distribution of pieces is described by a power law functional form. The exponent of the distribution displays a high degree of…

Disordered Systems and Neural Networks · Physics 2015-03-10 Gergo Pal , Imre Varga , Ferenc Kun

Density-density response functions are evaluated for nondegenerate multisubband electron systems in the random-phase approximation for arbitrary wave number and subband index. We consider both quasi-two-dimensional and quasi-one-…

Strongly Correlated Electrons · Physics 2009-10-31 Sviatoslav S. Sokolov , Nelson Studart

We present it ab initio calculations of the electronic energy loss of charged particles moving outside a magnesium surface, from a realistic description of the one-electron band structure and a full treatment of the dynamical electronic…

Materials Science · Physics 2009-11-13 M. G. Vergniory , V. M. Silkin , I. G. Gurtubay , J. M. Pitarke

The properties of condensed matter are determined by single-particle and collective excitations and their interactions. These quantum-mechanical excitations are characterized by an energy E and a momentum \hbar k which are related through…

Strongly Correlated Electrons · Physics 2007-05-23 K. Byczuk , M. Kollar , K. Held , Y. -F. Yang , I. A. Nekrasov , Th. Pruschke , D. Vollhardt

We show using computer simulations and mean field theory that a system of particles in two dimensions, when confined laterally by a pair of parallel hard walls within a quasi one dimensional channel, possesses several anomalous structural…

Soft Condensed Matter · Physics 2009-11-13 Debasish Chaudhuri , Surajit Sengupta

We demonstrate that kinetic coefficients related to thermoelectric properties of the two dimensional electron gas in the diffusive regime are strongly influenced by electron-electron interaction. As an example we consider the thermoelectric…

Strongly Correlated Electrons · Physics 2015-05-30 V. T. Dolgopolov , A. Gold

We investigate the electronic structure of the c(4 x 2) reconstructed Ge(001) surface using band structure calculations based on density functional theory and the generalized gradient approximation. In particular, we take into account the…

Materials Science · Physics 2009-11-13 Udo Schwingenschloegl , Cosima Schuster

The role of inhomegeneity in determining the properties of correlated electron systems is poorly understood because of the dearth of structural probes of disorder at the nanoscale. Advances in both neutron and x-ray scattering…

Strongly Correlated Electrons · Physics 2025-03-19 Raymond Osborn , Damjan Pelc , Matthew Krogstad , Stephan Rosenkranz , Martin Greven

It is shown that a photoelectron, on being emitted from a conducting solid, suffers a substantial energy change due to ohmic losses. Almost all of this energy loss takes place after the electron leaves the solid. These losses may be…

Condensed Matter · Physics 2009-10-31 Robert Joynt

The spectral properties of up to four interacting electrons confined within a quasi one--dimensional system of finite length are determined by numerical diagonalization including the spin degree of freedom. The ground state energy is…

Condensed Matter · Physics 2009-10-22 Wolfgang Haeusler , Bernhard Kramer , PTB Braunschweig