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We introduce an analytic slave boson method for treating the finite $U$ Anderson impurity model. Our approach introduces two bosons to track both $Q\rightleftharpoons Q\pm1$ valence fluctuations and reduces to a single symmetric $s$-boson…

Strongly Correlated Electrons · Physics 2026-01-05 Liam L. H. Lau , Piers Coleman

Using a semiclassical continuum model of an electron in a deformable molecular crystal, some properties of multicomponent generalizations of the polaron--``vector polarons''-- are elucidated. Analytical solutions for the case of two…

Materials Science · Physics 2007-06-13 Dennis P. Clougherty

We use a recently developed formalism (combining an adiabatic expansion and dynamical mean-field theory) to obtain expressions for isotope effects on electronic properties in correlated systems. As an example we calculate the isotope effect…

Strongly Correlated Electrons · Physics 2009-11-07 A. Deppeler , A. J. Millis

In order to clarify possible multipole states of Sm-based filled skutterudite compounds, we investigate multipole susceptibility of a multiorbital Anderson model dynamically coupled with Jahn-Teller phonons by using a numerical…

Strongly Correlated Electrons · Physics 2015-06-25 Takashi Hotta

In this work we study the complex entanglement between spin interactions, electron correlation and Janh-Teller structural instabilities in the 5d$^1$ $J_{eff}=\frac{3}{2}$ spin-orbit coupled double perovskite $\rm Ba_2NaOsO_6$ using first…

In this Letter we study the periodic Anderson model, employing both the slave-boson and the X-boson approaches in the mean field approximation. We investigate the breakdown of the slave-boson at intermediate temperatures when the total…

Strongly Correlated Electrons · Physics 2020-10-02 Lizardo H. C. M. Nunes , M. S. Figueira , M. E. Foglio

A classical model for the lattice distortions of $\lax$ is derived and, in a mean field approximation, solved. The model is based on previous work by Kanamori and involves localized Mn d-electrons (which induce tetragonal distortions of the…

Condensed Matter · Physics 2009-10-28 A. J. Millis

We study the complete extended Hubbard-Holstein Hamiltonian on a four-site chain with equally spaced sites, with spacing-dependent electronic interaction parameters evaluated in terms of Wannier functions built from Gaussian atomic…

Strongly Correlated Electrons · Physics 2009-10-31 Marcello Acquarone , Mario Cuoco , Canio Noce , Alfonso Romano

Orbital degrees of freedom mediating an interaction between spin and lattice were predicted to raise strong magnetoelectric effect, i.e. realize an efficient coupling between magnetic and ferroelectric orders. However, the effect of orbital…

Strongly Correlated Electrons · Physics 2023-02-01 Vilmos Kocsis , Yusuke Tokunaga , Toomas Rõõm , Urmas Nagel , Jun Fujioka , Yasujiro Taguchi , Yoshinori Tokura , Sándor Bordács

We propose a numerical method which embeds the variational non-Gaussian wavefunction approach within exact diagonalization, allowing for efficient treatment of correlated systems with both electron-electron and electron-phonon interactions.…

Strongly Correlated Electrons · Physics 2020-11-24 Yao Wang , Ilya Esterlis , Tao Shi , J. Ignacio Cirac , Eugene Demler

We demonstrate that fermion-boson models with nonlocal interactions can be simulated at finite band filling with the continuous-time quantum Monte Carlo method. We apply this method to explore the influence of the electron-phonon…

Strongly Correlated Electrons · Physics 2012-09-19 Martin Hohenadler , Fakher F. Assaad , Holger Fehske

Following the paradigm of Boltzmann-BBGKY we propose a correlation entropy (of the nth order) for an interacting quantum field, obtained by `slaving' (truncation with causal factorization) of the higher (n+1 th) order correlation functions…

High Energy Physics - Phenomenology · Physics 2009-11-10 E. A. Calzetta , B. L. Hu

To investigate the possibility whether electron-phonon coupling can enhance orbital fluctuations in iron-based superconductors, we develop an ab initio method to construct the effective low-energy models including the phonon-related terms.…

Superconductivity · Physics 2014-01-20 Yusuke Nomura , Kazuma Nakamura , Ryotaro Arita

The paper reports on a study of electron-phonon interaction within a limited nanosized region. We invoked the modified Fr\"{o}hlich's Hamiltonian to calculate the electron self-energy, as well as the elastic and inelastic scattering cross…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 K. V. Reich

Mott transition plays a key role in strongly correlated physics but its nature is not yet fully understood. Motivated by recent development of Schwinger boson approach for the Kondo lattice, we propose in this work a novel slave fermion…

Strongly Correlated Electrons · Physics 2022-11-18 Zhuoqing Long , Jiangfan Wang , Yi-feng Yang

The Hubbard-Holstein model is studied including double-exchange interaction and superexchange interaction using a variational phonon basis obtained through the modified Lang-Firsov (MLF) transformation followed by the squeezing…

Condensed Matter · Physics 2009-11-10 Jayita Chatterjee , A. N. Das

We analyze the ground-state properties of strongly-correlated electrons coupled with phonons by means of a generalized Gutzwiller wavefunction which includes phononic degrees of freedom. We study in detail the paramagnetic half-filled…

Strongly Correlated Electrons · Physics 2008-07-29 P. Barone , R. Raimondi , M. Capone , C. Castellani , M. Fabrizio

We performed a finite-temperature quantum Monte Carlo simulation of the one-dimensional spin-1/2 Heisenberg model with nearest-neighbor interaction coupled to Einstein phonons. Our method allows to treat easily up to 100 phonons per site…

Condensed Matter · Physics 2007-05-23 Rainer W. Kühne , Ute Löw

Jahn-Teller (JT) systems with strong and intermediate vibronic coupling are described in terms of local JT active vibrational modes. In JT crystals, the elastic interaction of these modes at different JT centers plays a crucial role, for…

Materials Science · Physics 2024-01-17 Zhishuo Huang , Naoya Iwahara , Liviu F. Chibotaru

We use the X-boson method to study the heavy fermion superconductivity employing an extension of the periodic Anderson model in the $ U = \infty $ limit with a nearest neighbor attractive interaction between the localized $ f $-electrons…

Superconductivity · Physics 2020-10-05 Lizardo H. C. M. Nunes , M. S. Figueira , E. V. L. de Mello