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The Pauli-Poisson equation is a semi-relativistic model for charged spin-1/2-particles in a strong external magnetic field and a self-consistent electric potential computed from the Poisson equation in 3 space dimensions. It is a system of…

Analysis of PDEs · Mathematics 2023-06-12 Jakob Möller

In the large polaron model of H. Froehlich, the electron-phonon interaction is a small perturbation in form sense, but a large perturbation in operator sense. This means that the form-domain of the Hamiltonian is not affected by the…

Mathematical Physics · Physics 2016-02-19 M. Griesemer , A. Wuensch

We analyze the strongly correlated regime of a two-component trapped ultracold fermionic gas in a synthetic non-Abelian U(2) gauge potential, that consists of both a magnetic field and a homogeneous spin-orbit coupling. This gauge potential…

Quantum Gases · Physics 2015-03-10 M. Burrello , M. Rizzi , M. Roncaglia , A. Trombettoni

Starting from recent advances in the first-principles modeling of polarons, variational polaron equations in the strong-coupling adiabatic approximation are formulated in Bloch space. In this framework, polaron formation energy as well as…

Materials Science · Physics 2022-06-09 Vasilii Vasilchenko , Andriy Zhugayevych , Xavier Gonze

It is shown on the basis of the multiplicative renormalization-group method of two-loop order that the low-energy effective Hamiltonian of a strongly coupled local electron-phonon system is mapped to the two-channel Kondo model. A phonon is…

Condensed Matter · Physics 2009-10-28 Hiroaki Kusunose , Kazumasa Miyake

We explore the influence of two different polarizations of quantum oxygen vibrations on the spacial symmetry of the bound magnetic bipolaron in the context of the t-J model by using exact diagonalization within a limited functional space.…

Strongly Correlated Electrons · Physics 2009-10-27 Lev Vidmar , Janez Bonca , Sadamichi Maekawa , Takami Tohyama

We consider a model Hamiltonian for a dimer including all the electronic one- and two-body terms consistent with a single orbital per site, a free Einstein phonon term, and an electron-phonon coupling of the Holstein type. The bare…

Strongly Correlated Electrons · Physics 2009-10-31 M. Acquarone , J. R. Iglesias , M. A. Gusmao , C. Noce , A. Romano

The three band p-d model of strongly correlated electrons interacting with optical phonon via diagonal and off-diagonal electron-phonon interaction is considered within cluster perturbation theory. At first step the exact diagonalization of…

Strongly Correlated Electrons · Physics 2015-11-04 I. A. Makarov , E. I. Shneyder , P. A. Kozlov , S. G. Ovchinnikov

The last unsolved problem about the many-polaron system, in the Pekar-Tomasevich approximation, is the case of bosons with the electron-electron Coulomb repulsion of strength exactly 1 (the 'neutral case'). We prove that the ground state…

Mathematical Physics · Physics 2015-06-22 Rafael D. Benguria , Rupert L. Frank , Elliott H. Lieb

We examine the interplay between electron correlations and phonons in an Anderson-Holstein impurity model with an Einstein phonon. When the phonons are slow compared to charge fluctuations (frequency $\omega_0 \ll U/2$, the onsite Coulomb…

Strongly Correlated Electrons · Physics 2025-07-08 Liam L. H. Lau , Andreas Gleis , Daniel Kaplan , Premala Chandra , Piers Coleman

The formation of spherical polaron clusters is studied within the Fr$\ddot{o}$hlich polaron theory. In a dilute polaron gas, using the non-local statistical approach and the polaron pair interaction obtained within the Pekar strong coupling…

Strongly Correlated Electrons · Physics 2007-05-23 C. A. Perroni , G. Iadonisi , V. K. Mukhomorov

Employing a largely unbiased variational exact diagonalization technique, we analyze the consequences of longer-ranged electron hopping and electron-phonon interaction on polaron formation in one dimension. Having at our disposal the…

Strongly Correlated Electrons · Physics 2024-02-20 Monodeep Chakraborty , Jayita Chatterjee , Holger Fehske

We use the Momentum Average approximation together with perturbative approaches, in the appropriate limits, to study the single polaron physics on a perovskite lattice inspired by BaBiO3. We investigate electron-phonon coupling of the…

Strongly Correlated Electrons · Physics 2021-01-04 Yau-Chuen Yam , Mirko M. Moeller , George A. Sawatzky , Mona Berciu

Motivated by the problem of polaron effect due to phonon-modulated hopping, we formulate a generic Monte Carlo technique for solving it in the coordinate representation for both the particle and atomic displacements. The method applies to a…

Strongly Correlated Electrons · Physics 2022-08-17 Nikolay V. Prokof'ev , Boris V. Svistunov

Recent studies of pairing and charge order in materials such as FeSe, SrTiO$_3$, and 2H-NbSe$_2$ have suggested that momentum dependence of the electron-phonon coupling plays an important role in their properties. Initial attempts to study…

Strongly Correlated Electrons · Physics 2019-05-30 Bo Xiao , F. Hébert , G. Batrouni , R. T. Scalettar

Building hybrid quantum systems is a crucial step for realizing multifunctional quantum technologies, quantum information processing, and hybrid quantum networks. A functional hybrid quantum system requires strong coupling among its…

Quantum Physics · Physics 2025-07-02 Rui-Chang Shen , Jie Li , Yi-Ming Sun , Wei-Jiang Wu , Xuan Zuo , Yi-Pu Wang , Shi-Yao Zhu , J. Q. You

The properties of the electron-phonon interaction in the presence of a sizable electronic repulsion at finite doping are studied by investigating the metallic phase of the Hubbard-Holstein model with Dynamical Mean Field Theory. Analyzing…

Strongly Correlated Electrons · Physics 2007-08-08 Giorgio Sangiovanni , Massimo Capone , Claudio Castellani

We present a phenomenological constraint on a pseudovector light boson beyond the Standard Model, which can induce a long-range spin-dependent interaction $\alpha^{\prime\prime}({\bf s}_1\cdot{\bf s}_2)\,{\rm e}^{-\lambda r}/r$. In the…

High Energy Physics - Phenomenology · Physics 2014-11-04 S. G. Karshenboim

We report a theoretical study of the carrier relaxation in a quantum cascade laser (QCL) subjected to a strong magnetic field. Both the alloy (GaInAs) disorder effects and the Frohlich interaction are taken into account when the electron…

Materials Science · Physics 2013-05-29 Yu Chen , N. Regnault , R. Ferreira , Bang-Fen Zhu , G. Bastard

The model of a ring threaded by the Aharonov-Bohm flux underlies our understanding of a coupling between gauge potentials and matter. The typical formulation of the model is based upon a single particle picture, and should be extended when…

Quantum Gases · Physics 2023-08-29 Fabian Brauneis , Areg Ghazaryan , Hans-Werner Hammer , Artem G. Volosniev