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We present an exact analytical solution of the fundamental systems of quasi-one-dimensional spin-1/2 fermions with infinite repulsion for arbitrary confining potential. The eigenfunctions are constructed by the combination of Gireardeau's…

Strongly Correlated Electrons · Physics 2009-04-22 Liming Guan , Shu Chen , Yupeng Wang , Zhong-Qi Ma

We report a calculation of the correlation function of the local density of states in a disordered quasi-one-dimensional wire in the unitary symmetry class at a small energy difference. Using an expression from the supersymmetric…

Disordered Systems and Neural Networks · Physics 2009-05-12 D. A. Ivanov , P. M. Ostrovsky , M. A. Skvortsov

We propose a method to probe the local density of states (LDOS) of atomic systems that provides both spatial and energy resolution. The method combines atomic and tunneling techniques to supply a simple, yet quantitative and operational,…

Mesoscale and Nanoscale Physics · Physics 2018-11-22 Daniel Gruss , Chih-Chun Chien , Julio Barreiro , Massimiliano Di Ventra , Michael Zwolak

The density of states of the two-dimensional fermionic Hubbard model in the perpendicular homogeneous magnetic field is calculated using the strong coupling diagram technique. The density of states at the Fermi level as a function of the…

Strongly Correlated Electrons · Physics 2019-05-29 A. Sherman

We predict the phase separations of two-dimensional Fermi gases with repulsive contact-type interactions between two spin components. Using density-potential functional theory with systematic semiclassical approximations, we address the…

Semiclassical theory of proximity effect predicts a gap E_g \sim hD/L^2 in the excitation spectrum of a long diffusive SNS junction. Mesoscopic fluctuations lead to anomalously localized states in the normal part of the junction. As a…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 P. M. Ostrovsky , M. A. Skvortsov , M. V. Feigel'man

We study the single particle density of states of a one-dimensional speckle potential, which is correlated and non-Gaussian. We consider both the repulsive and the attractive cases. The system is controlled by a single dimensionless…

Disordered Systems and Neural Networks · Physics 2015-02-26 G. M. Falco , Andrei A. Fedorenko , Jacopo Giacomelli , Michele Modugno

We present a new supersymmetric approach to the Kondo lattice model in order to describe simultaneously the quasiparticle excitations and the low-energy magnetic fluctuations in heavy-Fermion systems. This approach mixes the fermionic and…

Strongly Correlated Electrons · Physics 2015-06-25 C. Pepin , M. Lavagna

The electronic density of states (DOS) highlights fundamental properties of materials that oftentimes dictate their properties, such as the band gap and Van Hove singularities. In this short note, we discuss how sharp features of the…

Materials Science · Physics 2021-03-08 M. Y. Toriyama , A. M. Ganose , M. Dylla , S. Anand , J. Park , M. K. Brod , J. Munro , K. A. Persson , A. Jain , G. J. Snyder

We consider the density of states measure of the Fibonacci Hamiltonian and show that, for small values of the coupling constant $V$, this measure is exact-dimensional and the almost everywhere value $d_V$ of the local scaling exponent is a…

Spectral Theory · Mathematics 2015-02-24 David Damanik , Anton Gorodetski

We have calculated the single-particle density of states (DOS) for a model of spinfull Tomonaga-Luttinger liquid with frequency dependent parameter $K_c$ of the charge sector (and $K_s=1$ of spin sector).Such frequency dependence may…

Strongly Correlated Electrons · Physics 2007-05-23 Emiliano Papa

We analyze the local density of states (LDOS) of heterostructures consisting of alternating ferromagnet, $F$, and superconductor, $S$, layers. We consider structures of the $SFS$ and $SFSFSFS$ type, with thin nanometer scale $F$ and $S$…

Superconductivity · Physics 2009-11-10 Klaus Halterman , Oriol T. Valls

Low-frequency vibrational harmonic modes of glasses are frequently used to understand their universal low-temperature properties. One well studied feature is the excess low-frequency density of states over the Debye model prediction. Here…

Disordered Systems and Neural Networks · Physics 2023-04-05 Lijin Wang , Grzegorz Szamel , Elijah Flenner

A two-parameter field theoretical representation is given of a 2-dimensional dirty d-wave superconductor that interpolates between the Gaussian limit of uncorrelated weak disorder and the unitary limit of a dilute concentration of resonant…

Disordered Systems and Neural Networks · Physics 2009-10-31 Claudio Chamon , Christopher Mudry

We investigate the density of states (DOS) near the Fermi energy of one-dimensional spin-polarized electron systems in the quantum regime where the localization length is comparable to or larger than the inter-particle distance. The Wigner…

Condensed Matter · Physics 2009-10-28 Gun Sang Jeon , M. Y. Choi , S. -R. Eric Yang

We give a method to compute the smooth part of the density of states in a semi-classical expansion, when the Hamiltonian contains a Coulomb potential and non-cartesian coordinates are appropriate. We apply this method to the case of the…

Chaotic Dynamics · Physics 2009-11-11 Hervé Kunz , Thierry Schuepbach , Marc-André Dupertuis

We study the quantum dynamics of conversion of composite bosons into fermionic fragment species with increasing densities of bound fermion pairs using the open quantum system approach. The Hilbert space of $N$-state-function is decomposed…

Quantum Physics · Physics 2013-04-12 A. Thilagam

We simulate scanning probe imaging of the local density of states related to scattering Fermi level wave functions inside a resonant cavity. We calculate potential landscape within the cavity taking into account the Coulomb charge of the…

Mesoscale and Nanoscale Physics · Physics 2013-10-29 K. Kolasinski , B. Szafran

Recently, T. and M. Shcherbina proved a pointwise semicircle law for the density of states of one-dimensional Gaussian band matrices of large bandwidth. The main step of their proof is a new method to study the spectral properties of…

Probability · Mathematics 2021-09-28 Margherita Disertori , Martin Lohmann , Sasha Sodin

We examine distinct measures of fermionic entanglement in the exact ground state of a finite superconducting system. It is first shown that global measures such as the one-body entanglement entropy, which represents the minimum relative…

Quantum Physics · Physics 2018-06-20 M. Di Tullio , N. Gigena , R. Rossignoli
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