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1-Dimensional (1D) photonics crystals with and without defects have been numerically studied using efficient Transfer Matrix Method (TMM). Detailed numerical recipe of the TMM has been laid out. Dispersion relation is verified for the…

Classical Physics · Physics 2020-07-16 Shaolin Liao , Lu Ou

The state space of finite square and cubic Ising spin glass models is analysed in terms of the global and the local density of states. Systems with uniform and gaussian probability distribution of interactions are compared. Different…

Disordered Systems and Neural Networks · Physics 2009-10-30 T. Klotz , S. Schubert , K. H. Hoffmann

For a classical system of noninteracting particles we establish recursive integral equations for the density of states on the microcanonical ensemble. The recursion can be either on the number of particles or on the dimension of the system.…

Statistical Mechanics · Physics 2013-04-19 Loic Turban

Electronic density of states (DOS) at Fermi level has been investigated in ultrathin Ag films grown on Si(111)-(7x7) down to the two dimensional limit of a single atomic layer. Measurement of DOS at Fermi level by scanning tunneling…

Mesoscale and Nanoscale Physics · Physics 2014-12-04 R. Batabyal , A. H. M. Abdul Wasey , J. C. Mahato , Debolina Das , G. P. Das , B. N. Dev

We study the density of states measure for some class of random unitary band matrices and prove a Thouless formula relating it to the associated Lyapunov exponent. This class of random matrices appears in the study of the dynamical…

Mathematical Physics · Physics 2015-06-26 Alain Joye

We consider a semiclassical formulation for the density of states (DOS) of disordered systems in any dimension. We show that this formulation becomes very accurate when the correlation length of the disorder potential is large. The disorder…

Disordered Systems and Neural Networks · Physics 2009-11-11 J. C. Flores , M. Hilke

A macroscopically constrained Wang-Landau Monte Carlo method was recently proposed to calculate the joint density of states (DOS) for systems with multiple order parameters. Here we demonstrate results for a nearest-neighbor Ising…

Statistical Mechanics · Physics 2017-12-05 Chor-Hoi Chan , Gregory Brown , Per Arne Rikvold

We consider the spectral properties of aperiodic block subwavelength resonator systems in one dimension, with a primary focus on the density of states. We prove that for random block configurations, as the number of blocks $M\to \infty$,…

Mathematical Physics · Physics 2025-05-23 Habib Ammari , Silvio Barandun , Bryn Davies , Erik Orvehed Hiltunen , Alexander Uhlmann

We investigate within density functional theory various physical properties of the zero-temperature unitary Fermi gas which critically depend on the presence of a dispersive gradient term in the equation of state. First, we consider the…

Quantum Gases · Physics 2013-04-23 F. Ancilotto , L. Salasnich , F. Toigo

Based on a simple approximation scheme we have computed the local density of states (LDOS) of the antiferromagnetic and ferromagnetic Kondo models for the full range of band occupations and coupling strengths. For both models the LDOS with…

Strongly Correlated Electrons · Physics 2015-06-24 P. Sinjukow , D. Meyer , W. Nolting

We evaluate the frequencies of scissors modes for density and concentration fluctuations in a vapour of fermionic atoms placed in two hyperfine levels inside a spherical harmonic trap. Both the superfluid and the normal state are…

Statistical Mechanics · Physics 2009-10-31 Anna Minguzzi , Mario P. Tosi

The one-particle density of states (1P-DOS) in a system with localized electron states vanishes at the Fermi level due to the Coulomb interaction between electrons. Derivation of the Coulomb gap uses stability criteria of the ground state.…

Disordered Systems and Neural Networks · Physics 2012-04-05 A. L. Efros , Brian Skinner , B. I. Shklovskii

We investigate the ground-state properties of ultracold two-component Fermi gases in the presence of a transverse harmonic potential, focusing on the strongly interacting regime in which pairs of fermions form tightly bound molecules. Using…

Quantum Gases · Physics 2025-12-11 Giovanni Midei , Jordi Boronat , Grigory E. Astrakharchik

Statistics of the local density of states in the two-dimensional Falicov-Kimball model with local disorder is studied by employing the statistical dynamical mean-field theory. Within the theory the local density of states and its…

Strongly Correlated Electrons · Physics 2008-01-08 Tran Minh-Tien

We present a closed formula for the asymptotic density of states for a class of solvable superstring models on curved backgrounds. The result accounts for the effects of the curvature of the target space in a concise way.

High Energy Physics - Theory · Physics 2025-04-18 Tommaso Canneti

We calculate the asymptotic behaviour of the one body density matrix of one-dimensional impenetrable bosons in finite size geometries. Our approach is based on a modification of the Replica Method from the theory of disordered systems. We…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Dimitri M. Gangardt

We analyze the fermion density of the one-dimensional Hubbard model using bosonization and numerical DMRG calculations. For finite systems we find a relatively sharp crossover even for moderate short range interactions into a region with…

Strongly Correlated Electrons · Physics 2011-12-19 Stefan A. Soeffing , Michael Bortz , Imke Schneider , Alexander Struck , Michael Fleischhauer , Sebastian Eggert

Influence of weak nonmagnetic impurities on the single-particle density of states $\rho(\omega)$ of two-dimensional electron systems with a conical spectrum is studied. We use a nonperturbative approach, based on replica trick with…

Condensed Matter · Physics 2009-10-22 A. A. Nersesyan , A. M. Tsvelik , F. Wenger

Worldline representations were established as a powerful tool for studying bosonic lattice field theories at finite density. For fermions, however, the worldlines still may carry signs that originate from the Dirac algebra and from the…

High Energy Physics - Lattice · Physics 2022-11-29 Christof Gattringer

We present a density-functional theory for the one dimensional harmonically trapped Bose-Fermi mixture with repulsive contact interactions. The ground state density distribution of each component is obtained by solving the Kohn-Sham…

Quantum Gases · Physics 2017-04-06 Hongmei Wang , Yajiang Hao , Yunbo Zhang