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We study the infrared dynamics of low-energy atoms interacting with a sample of suspended graphene at finite temperature. The dynamics exhibits severe infrared divergences order by order in perturbation theory as a result of the singular…

Mesoscale and Nanoscale Physics · Physics 2016-06-22 Sanghita Sengupta , Valeri N. Kotov , Dennis P. Clougherty

In the study of strongly interacting systems, correlations on the two-particle level are receiving more and more attention. In this work, we study a particular two-particle correlation function: the fermion-boson vertex. It describes the…

We discuss the transient effects in the Anderson impurity model that occur when two fermionic continua with finite bandwidths are instantaneously coupled to a central level. We present results for the analytically solvable noninteracting…

Mesoscale and Nanoscale Physics · Physics 2008-12-11 T. L. Schmidt , P. Werner , L. Muehlbacher , A. Komnik

The system of two interacting bosons in a two-dimensional harmonic trap is compared with the system consisting of two noninteracting fermions in the same potential. In particular, we discuss how the properties of the ground state of the…

Quantum Gases · Physics 2018-03-21 Pere Mujal , Artur Polls , Bruno Juliá-Díaz

In this paper, we develop the holographic mean field theory for strongly interacting fermion systems. We investigate various types of the symmetry-breakings and their effect on the spectral function. We found analytic expressions of fermion…

High Energy Physics - Theory · Physics 2024-06-24 Supalert Sukrakarn , Taewon Yuk , Sang-Jin Sin

Theoretically, the presence of a metallic nanoparticle enhances the intermolecular energy transfer. We calculate this enhancement factor with a modal approach pertaining analytical results in the case of a nanosphere. We calculate the…

Mesoscale and Nanoscale Physics · Physics 2019-07-02 Titus Sandu , Catalin Tibeica , Oana Nedelcu , Mihai Gologanu

A multi-level Anderson model is employed to simulate the system of a nanostructure tunnel junction with any number of one-particle energy levels. The tunneling current, including both shell-tunneling and shell-filling cases, is…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 David M. -T. Kuo , Yia-Chung Chang

The dissipaton equations of motion (DEOM) method is one of the most popular methods for simulating quantum impurity systems. In this article, we use DOEM theory to deal with the Kondo problem of the double quantum dots (DQDs) impurity…

Quantum Physics · Physics 2023-05-30 Zi-Hao Chen , YiJing Yan

We provide a detailed study of the properties of a few interacting spin $1/2$ fermions trapped in a one-dimensional harmonic oscillator potential. The interaction is assumed to be well represented by a contact delta potential. Numerical…

Quantum Gases · Physics 2025-04-23 Abel Rojo-Francàs , Artur Polls , Bruno Juliá-Díaz

In this paper we solve one dimensional trapped SU(2) bosons with repulsive $\delta$-function interaction by means of Bethe-ansatz method. The features of ground state and low-lying excited states are studied by numerical and analytic…

Strongly Correlated Electrons · Physics 2009-11-07 Shi-Jian Gu , You-Quan Li , Zu-Jian Ying

In this work, we study the scattering problem of the general nonlinear finitely many Dirac delta potentials with complex coupling constants (or opacities in the context of optics) using the Green's function method and then find the bound…

Mathematical Physics · Physics 2020-02-10 Fatih Erman , Haydar Uncu

We investigate a single impurity interacting with a free two-dimensional atomic Fermi gas. The interaction between the impurity and the gas is characterized by an arbitrary attractive short-range potential, which, in two dimensions, always…

Quantum Gases · Physics 2015-05-28 Michael Klawunn , Alessio Recati

The model of a spherical quantum dot with several donor impurities on its surface is suggested. The electron energy spectra are studied as a function of the quantum dot radius and the number of impurities. Several cases of the location of…

Mesoscale and Nanoscale Physics · Physics 2023-05-26 R. Ya. Leshko , I. V. Bilynskyi , O. V. Leshko , V. B. Hols'kyi

Nonuniversal effects due to leading effective-range corrections are computed for the ground-state energy of the weakly-coupled repulsive Bose gas in two spatial dimensions. Using an effective field theory of contact interactions, these…

Quantum Gases · Physics 2018-04-02 Silas R. Beane

We present quite a powerful method in investigations of different phenomena that can appear when neutrinos and electrons propagate in background matter. This method implies use of exact solutions of modified Dirac equations that contain the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Alexander Studenikin

We study the one-electron spectral properties of one-dimensional interacting electron systems in which the interactions have finite range. We employ a mobile quantum impurity scheme that describes the interactions of the fractionalized…

Strongly Correlated Electrons · Physics 2019-07-17 J. M. P. Carmelo , T. Cadez , Y. Ohtsubo , S. -i. Kimura , D. K. Campbell

We consider a system of $N\gg 1$ interacting fermionic particles in three dimensions, confined in a periodic box of volume $1$, in the mean-field scaling. We assume that the interaction potential is bounded and small enough. We prove upper…

Mathematical Physics · Physics 2019-12-10 Christian Hainzl , Marcello Porta , Felix Rexze

We describe some exact high-energy properties of a single Anderson impurity connected to two noninteracting leads in a nonequilibrium steady state. In the limit of high bias voltages, and also in the high-temperature limit at thermal…

Mesoscale and Nanoscale Physics · Physics 2013-10-21 Akira Oguri , Rui Sakano

A microscopic formulation of the interacting boson-fermion model for odd-$A$ nuclei is made using the nuclear energy density functional framework. Strength parameters for the bosonic Hamiltonian and boson-fermion interactions are shown to…

Nuclear Theory · Physics 2025-09-22 M. Homma , K. Nomura

An one dimensional model of a Kondo impurity with arbitrary spin in the presence of electronic correlations is solved exactly. The Bethe ansatz equations are obtained for the case of quadratic dispersion. The ground state is studied in the…

Strongly Correlated Electrons · Physics 2009-10-30 You-Quan Li , Pierre-Antoine Bares