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We present a consistent treatment of the quantum Hall effect within the electrostatic approximation. We derive the form of the density of states (DOS) which differs from the usual gaussian shape valid for non-interacting electrons. Below a…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 K. Tsemekhman , V. Tsemekhman , C. Wexler

Recently, new quantum effects have been studied in thin nano-grating layers. Nano-grating on the surface imposes additional boundary conditions on the electron wave function and reduces the density of states (DOS). When the nano-grating…

Mesoscale and Nanoscale Physics · Physics 2016-05-03 D. Kakulia , A. Tavkhelidze , V. Gogoberidze , M. Mebonia

Recent first-principles electron-phonon scattering calculations of heavily-doped semiconductors suggest that a simple DOS scattering model, wherein the electronic scattering rates are assumed to be proportional to the density-of-states,…

Materials Science · Physics 2020-02-26 Cameron Rudderham , Jesse Maassen

By considering the quantum-mechanically minimum allowable energy interval, we exactly count number of states (NOS) and introduce discrete density of states (DOS) concept for a particle in a box for various dimensions. Expressions for…

Statistical Mechanics · Physics 2016-02-24 Alhun Aydin , Altug Sisman

Potential applications of quantum dots in the nanotechnology industry make these systems an important field of study in various areas of physics. In particular, thermodynamics has a significant role in technological innovations. With this…

Mesoscale and Nanoscale Physics · Physics 2025-10-28 Luís Fernando C. Pereira , Edilberto O. Silva

We study Quantum Gravity effects on the density of states in statistical mechanics and its implications for the critical temperature of a Bose Einstein Condensate and fraction of bosons in its ground state. We also study the effects of…

General Relativity and Quantum Cosmology · Physics 2021-08-04 Saurya Das , Mitja Fridman

A diagrammatic method is applied to study the effects of commensurability in two-dimensional disordered crystalline metals by using the particle-hole symmetry with respect to the nesting vector P_0={\pm{\pi}/a, {\pi}/a} for a half-filled…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 E. P. Nakhmedov , M. Kumru , R. Oppermann

We investigate quantum effects in the mechanical properties of elastic beams on the nanoscale. Transverse quantum and thermal fluctuations and the nonlinear excitation energies are calculated for beams compressed in longitudinal direction.…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 P. Werner , W. Zwerger

We calculate the density of states (DOS) in a clean mesoscopic d-wave superconducting quantum wire, i.e. a sample of infinite length but finite width $N$. For open boundary conditions, the DOS at zero energy is found to be zero if $N$ is…

Superconductivity · Physics 2009-10-31 K. Ziegler , W. A. Atkinson , P. J. Hirschfeld

We have investigated the vibrational density of states (VDOS) of a thin Cu nanowire with $<100>$ axial orientation and considered the effect of axial strain. The VDOS are calculated using a real space Green's function approach with the…

Materials Science · Physics 2015-05-27 Yasemin Şengün , Sondan Durukanoğlu

We present a comparative study of numerical methods for computingelectronic densities of states (DOS) in periodic systems. We provide a detailed analysis of the domain of validity of the Brillouincomplex deformation (BCD), a…

Numerical Analysis · Mathematics 2026-04-01 Ewen Lallinec , Antoine Levitt

We report neutron-scattering measurements of the density of states (DOS) of water and liquid Fomblin in a wide range of temperatures. In the liquid phase, we confirm the presence of a universal low-energy linear scaling of the experimental…

Soft Condensed Matter · Physics 2024-08-15 Sha Jin , Xue Fan , Caleb Stamper , Richard A. Mole , Yuanxi Yu , Liang Hong , Dehong Yu , Matteo Baggioli

We present a theoretical treatment of coherent light scattering from an interacting 1D Bose gas at finite temperatures. We show how this can provide a nondestructive measurement of the atomic system states. The equilibrium states are…

Quantum Gases · Physics 2015-05-30 A. G. Sykes , R. J. Ballagh

We report an efficient quantum algorithm for estimating the local density of states (LDOS) on a quantum computer. The LDOS describes the redistribution of energy levels of a quantum system under the influence of a perturbation. Sometimes…

Quantum Physics · Physics 2009-11-10 Joseph Emerson , Seth Lloyd , David Poulin , David Cory

Atomic vibrations play a vital role in the functions of various physical, chemical, and biological systems. The vibrational properties and the specific heat of crystalline bulk materials are well described by Debye theory, which…

The vibrational density of states of silicon nanoparticles in the range from 2.3 to 10.3 nm is studied with the help of molecular-dynamics simulations. From these simulations the vibrational density of states and frequencies of bulk-like…

Materials Science · Physics 2011-01-20 R. Meyer , D. Comtesse

We investigate different measures of stability of quantum statistical ensembles with respect to local measurements. We call a quantum statistical ensemble "stable" if a small number of local measurements cannot significantly modify the…

Quantum Physics · Physics 2018-02-15 Walter Hahn , Boris V. Fine

By using Supersymmetric Quantum Mechanics and Semiclassical Quantization, one may argue that the low-lying excited states of any quantum system can be modeled by a set of harmonic oscillators. In the present paper, we fit the experimental…

Atomic Physics · Physics 2011-11-30 Gabriel J. Gil Perez , Augusto Gonzalez

The electronic density of states (DOS) quantifies the distribution of the energy levels that can be occupied by electrons in a quasiparticle picture, and is central to modern electronic structure theory. It also underpins the computation…

Materials Science · Physics 2021-01-04 Chiheb Ben Mahmoud , Andrea Anelli , Gábor Csányi , Michele Ceriotti

The density of states (DOS) is a spectral property of materials, which provides fundamental insights on various characteristics of materials. In this paper, we propose a model to predict the DOS by reflecting the nature of DOS: DOS…

Machine Learning · Computer Science 2023-04-11 Namkyeong Lee , Heewoong Noh , Sungwon Kim , Dongmin Hyun , Gyoung S. Na , Chanyoung Park
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