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We introduce a quantum Monte Carlo technique to calculate exactly at finite temperatures the Green function of a fermionic quantum impurity coupled to a bosonic field. While the algorithm is general, we focus on the single impurity Anderson…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Liliana Arrachea , Marcelo J. Rozenberg

Using $\epsilon$ expansion proposed in \cite{Nishida:2006br} we calculate density correlation function of the degenerate Fermi gas at infinite scattering length to next-to-leading order in $\epsilon$ for excitation energies below quasi…

Nuclear Theory · Physics 2013-05-29 Andrei Kryjevski

We show that the fermion, in the context of a system that comprises many such entities - which, by virtue of the Pauli exclusion principle, possesses a Fermi surface at zero temperature - may itself be thought of as a collection of…

Strongly Correlated Electrons · Physics 2025-01-14 Alok Kushwaha , Rishi Paresh Joshi , Girish Sampath Setlur

Using the newly introduced theory of finite-temperature reduced density matrix functional theory, we apply the first-order approximation to the homogeneous electron gas. We consider both collinear spin states as well as symmetry broken…

Strongly Correlated Electrons · Physics 2015-03-20 Tim Baldsiefen , F. G. Eich , E. K. U. Gross

A partial fraction decomposition of the Fermi function resulting in a finite sum over simple poles is proposed. This allows for efficient calculations involving the Fermi function in various contexts of electronic structure or electron…

Other Condensed Matter · Physics 2009-08-10 Alexander Croy , Ulf Saalmann

A density functional theory is developed for fermions in one dimension, interacting via a delta-function. Such systems provide a natural testing ground for questions of principle, as the local density approximation should work well for…

Other Condensed Matter · Physics 2007-05-23 R. J. Magyar , K. Burke

An exact expression is derived for the electron Green function in two-channel Kondo models with one and two impurities, describing the crossover from non-Fermi liquid (NFL) behavior at intermediate temperatures to standard Fermi liquid (FL)…

Strongly Correlated Electrons · Physics 2012-06-19 Andrew K. Mitchell , Eran Sela

We present the non-perturbative computation of the entropy density in QCD for temperatures ranging from 3 GeV up to the electro-weak scale, using $N_f=3$ flavours of massless O$(a)$-improved Wilson fermions. We adopt a new strategy designed…

High Energy Physics - Lattice · Physics 2025-02-07 Matteo Bresciani , Mattia Dalla Brida , Leonardo Giusti , Michele Pepe

Intrinsic discrete nature in thermodynamic properties of Fermi gases appears under strongly confined and degenerate conditions. For a rectangular confinement domain, thermodynamic properties of an ideal Fermi gas are expressed in their…

Quantum Gases · Physics 2016-02-24 Alhun Aydin , Altug Sisman

The many-body Green's function provides access to electronic properties beyond density functional theory level in ab inito calculations. In this manuscript, we propose a deep learning framework for predicting the finite-temperature Green's…

Chemical Physics · Physics 2024-02-20 Xinyang Dong , Emanuel Gull , Lei Wang

We develop a Green's function method to evaluate the exact equilibrium particle-density profiles of noninteracting Fermi gases in external harmonic confinement in any spatial dimension and for arbitrary trap anisotropy. While in a…

Statistical Mechanics · Physics 2009-11-07 Patrizia Vignolo , Anna Minguzzi

We give details on how to calculate spectral functions and Green's functions for finite systems using the Chebyshev polynomial expansion method. We apply the method to a finite Anderson impurity system, and furthermore give details on how…

Strongly Correlated Electrons · Physics 2015-11-04 M. Hyrkäs , D. Karlsson , R. van Leeuwen

An efficient method for the calculation of ferromagnetic resonant modes of magnetic structures is presented. Finite-element discretization allows flexible geometries and location dependent material parameters. The resonant modes can be used…

Computational Physics · Physics 2018-12-26 Florian Bruckner , Massimiliano d'Aquino , Claudio Serpico , Claas Abert , Christoph Vogler , Dieter Suess

A finite temperature many-particle theory of condensed matter systems is formulated using the functional Schroedinger picture. Using the interacting electron gas as a model system, we solve the equation of motion for the density matrix…

Strongly Correlated Electrons · Physics 2008-02-03 Hyun Sik Noh , Sang Koo You , Chul Koo Kim

The formalism of next-to-leading order Fermi Liquid Theory is employed to calculate the thermal properties of symmetric nuclear and pure neutron matter in a relativistic many-body theory beyond the mean field level which includes two-loop…

Nuclear Theory · Physics 2017-03-08 Constantinos Constantinou , Sudhanva Lalit , Madappa Prakash

We use the virial expansion to investigate the behavior of the two-component, attractive Fermi gas in the high-temperature limit, where the system smoothly evolves from weakly attractive fermions to weakly repulsive bosonic dimers as the…

Quantum Gases · Physics 2015-01-12 V. Ngampruetikorn , Meera M. Parish , Jesper Levinsen

In this work, the zero-temperature limit of the thermodynamic spin-density functional theory is investigated. The coarse-grained approach to the equilibrium density operator is used to describe the equilibrium state. The characteristic…

Chemical Physics · Physics 2013-10-28 Robert Balawender

The Fermi surface is an abstract object in the reciprocal space of a crystal lattice, enclosing the set of all those electronic band states that are filled according to the Pauli principle. Its topology is dictated by the underlying lattice…

Strongly Correlated Electrons · Physics 2016-07-20 Mukunda P. Das , Frederick Green

Temperature variations of the heat capacity (C) are studied in a low temperature regime for 2D-, and 3D-systems with N~100-10000 treated as a canonical ensemble of N-noninteracting fermions. The analysis of C is performed by introducing…

Mesoscale and Nanoscale Physics · Physics 2008-12-01 N. K. Kuzmenko , V. M. Mikhajlov

In the present work, we start from a minimal Hamiltonian for Fermi systems where the s-wave scattering is the only low energy constant at play. Many-Body Perturbative approach that is usually valid at rather low density is first discussed.…

Nuclear Theory · Physics 2020-01-08 Antoine Boulet , Denis Lacroix