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We use a newly developed quantum Monte Carlo method to investigate the impact of finite dispersion of the optical phonon mode on the properties of the bond Su-Schrieffer-Heeger polaron in two dimensions. We compare the properties of the…

Strongly Correlated Electrons · Physics 2024-05-28 Chao Zhang

We study a highly imbalanced Fermi gas in a one-dimensional optical lattice from the polaronic point of view. The time-evolving block decimationg algorithm is used to calculate the ground state and dynamics of the system. We find…

We show the importance of both strong frustration and spin-lattice coupling for the stabilization of magnetization plateaus in translationally invariant two-dimensional systems. We consider a frustrated spin-1/2 Heisenberg model coupled to…

Strongly Correlated Electrons · Physics 2009-11-13 Samuele Bissola , Valeria Lante , Alberto Parola , Federico Becca

In itinerant systems, electron-electron interactions may lead to the formation of local magnetic moments and their effective exchange coupling, which in turn gives rise to long-range magnetic order. Therefore, when moment formation is…

Strongly Correlated Electrons · Physics 2020-04-13 L. Oliveira-Lima , N. C. Costa , J. Pimentel de Lima , R. T. Scalettar , R. R. dos Santos

The competition between the long range Coulomb attractive and the short range repulsive interaction in ionic nanocrystals creates an effective negative pressure, which causes the lattice parameter a to increase with decreasing nanoparticle…

Materials Science · Physics 2009-11-07 Vasili Perebeinos , Siu-Wai Chan , Feng Zhang

We propose to go beyond the usual Hubbard model description of atoms in optical lattices and show how few-body physics can be used to simulate many-body phenomena, e.g., an electron-phonon system. We take one atomic species to be trapped in…

Quantum Gases · Physics 2014-09-26 Zhihao Lan , Carlos Lobo

We consider several effects of the matter wave dynamics which can be observed in Bose-Einstein condensates embedded into optical lattices. For low-density condensates we derive approximate evolution equations, the form of which depends on…

Soft Condensed Matter · Physics 2009-11-10 V. A. Brazhnyi , V. V. Konotop

The quantum acoustic framework has recently emerged as a non-perturbative, coherent approach to electron-lattice interactions, uncovering rich physics often obscured by perturbative methods with incoherent scattering events. Here, we model…

We study the Holstein-Double Exchange model in three dimensions in the presence of substitutional disorder. Using a new Monte Carlo technique we establish the phase diagram of the clean model and then focus on the effect of varying…

Strongly Correlated Electrons · Physics 2009-11-10 Sanjeev Kumar , Pinaki Majumdar

We present a diagrammatic Monte Carlo study of the properties of the Hubbard-Holstein bipolaron on a two-dimensional square lattice. With a small Coulomb repulsion, U, and with increasing electron-phonon interaction, and when reaching a…

Strongly Correlated Electrons · Physics 2007-05-23 Alexandru Macridin , George. A. Sawatzky , Mark Jarrell

Using the momentum average (MA) approximation, we find an analytical expression for the disorder-averaged Green's function of a Holstein polaron in a three-dimensional simple cubic lattice with random on-site energies. The on-site disorder…

Strongly Correlated Electrons · Physics 2012-11-09 Hadi Ebrahimnejad , Mona Berciu

The ground state of an electron gas is characterized by the interparticle spacing to the effective Bohr radius ratio r_s=a/a_B*. For polarized electrons on a two dimensional square lattice with Coulomb repulsion, we study the threshold…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Houman Falakshahi , Zoltán Ádám Németh , Jean-Louis Pichard

In polar semiconductors and insulators, the Fr\"ohlich interaction between electrons and long-wavelength longitudinal optical phonons induces a many-body renormalization of the carrier effective masses and the appearence of characteristic…

Materials Science · Physics 2022-03-10 Nikolaus Kandolf , Carla Verdi , Feliciano Giustino

The one-dimensional Holstein model of spinless fermions interacting with dispersionless phonons is studied using a new variant of the density matrix renormalisation group. By examining various low-energy excitations of finite chains, the…

Condensed Matter · Physics 2009-10-31 R. J. Bursill , R. H. McKenzie , C. J. Hamer

The two-dimensional Holstein model is studied by means of direct Lanczos diagonalization preserving the full dynamics and quantum nature of phonons. We present numerical exact results for the single-particle spectral function, the polaronic…

Condensed Matter · Physics 2009-10-30 H. Fehske , J. Loos , G. Wellein

The adiabatic criterion, widely used in astronomical dynamics, is based on the harmonic oscillator. It asserts that the change in action under a slowly varying perturbation is exponentially small. Recent mathematical results precisely…

Astrophysics · Physics 2009-10-22 Martin D. Weinberg

The determination of magnitudes of basic parameters of the high energy elastic scattering amplitude are examined at small momentum transfers with taking account of the Coulomb-hadron interference effects.

High Energy Physics - Phenomenology · Physics 2009-11-07 S. B. Nurushev , O. V. Selyugin , M. N. Strikhanov

This study of the one dimensional Su-Schrieffer-Heeger model in a weak coupling perturbative regime points out the effective mass behavior as a function of the adiabatic parameter $\omega_{\pi}/J$, $\omega_{\pi}$ is the zone boundary phonon…

Superconductivity · Physics 2009-11-07 Marco Zoli

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

We apply the Merrifield variational method to the Holstein molecular crystal model in D dimensions to compute non-adiabatic polaron band energies and Franck-Condon factors at general crystal momenta. We analyze these observable properties…

Materials Science · Physics 2016-09-28 David W. Brown , Aldo H. Romero , Katja Lindenberg