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An analytical variational method is applied to the molecular Holstein Hamiltonian in which the dispersive features of the dimension dependent phonon spectrum are taken into account by a force constant approach. The crossover between a large…

Superconductivity · Physics 2009-11-10 Marco Zoli , A. N. Das

Path-Integral-Monte-Carlo simulation has been used to calculate the properties of a two-dimensional (2D) interacting Bose system. The bosons interact with hard-core potentials and are confined to a harmonic trap. Results for the density…

Statistical Mechanics · Physics 2007-05-23 Stefan Heinrichs , William J. Mullin

Extending the Froehlich polaron problem to a discrete ionic lattice we study a polaronic state with a small radius of the wave function but a large size of the lattice distortion. We calculate the energy dispersion and the effective mass of…

Strongly Correlated Electrons · Physics 2009-10-31 A. S. Alexandrov , P. E. Kornilovitch

We present a method for simulating the time evolution of one-dimensional correlated electron-phonon systems which combines the time-evolving block decimation algorithm with a dynamical optimization of the local basis. This approach can…

Strongly Correlated Electrons · Physics 2015-12-16 Christoph Brockt , Florian Dorfner , Lev Vidmar , Fabian Heidrich-Meisner , Eric Jeckelmann

Lead halide perovskite semiconductors are soft, polar, materials. The strong driving force for polaron formation (the dielectric electron-phonon coupling) is balanced by the light band effective-masses, leading to a strongly-interacting…

Materials Science · Physics 2017-11-15 Jarvist Moore Frost

We derive the exact dual representation of the bosonic Hubbard model which takes the form of conserved current loops. The hardcore limit, which corresponds to the quantum spin-${1\over 2}$ Heisenberg antiferromagnet, is also obtained. In…

Statistical Mechanics · Physics 2009-10-31 G. G. Batrouni , H. Mabilat

We develop a variational Monte Carlo (VMC) method for electron-phonon coupled systems. The VMC method has been extensively used for investigating strongly correlated electrons over the last decades. However, its applications to…

Strongly Correlated Electrons · Physics 2014-06-02 Takahiro Ohgoe , Masatoshi Imada

We have recently employed periodic Anderson model with electron-phonon interactions to describe Cerium volume collapse ($\gamma \rightarrow \alpha$ transition) under pressure. To describe the volume collapse transition in Cerium, we have…

Strongly Correlated Electrons · Physics 2019-08-20 Enzhi Li

In the long-time pursuit of the solution to calculate the partition function (or free energy) of condensed matter, Monte-Carlo-based nested sampling should be the state-of-the-art method, and very recently, we established a direct integral…

Statistical Mechanics · Physics 2020-01-08 Le-Cheng Gong , Bo-Yuan Ning , Tsu-Chien Weng , Xi-Jing Ning

A novel method for extracting physical parameters from experimental and simulation data is presented. The method is based on statistical concepts and it relies on Monte Carlo simulation techniques. It identifies and determines with maximal…

High Energy Physics - Phenomenology · Physics 2012-05-31 C. N. Papanicolas , E. Stiliaris

Several physics methods for the simulation of the photoelectric effect are quantitatively evaluated with respect to a large collection of experimental data retrieved from the literature. They include theoretical and empirical calculations…

The experimental observables for the elastic reaction induced by protons on electrons are calculated in the Born approximation. Model independent expressions are derived for the differential cross section and polarization observables.…

Nuclear Theory · Physics 2011-09-06 G. I. Gakh , A. Dbeyssi , D. Marchand , E. Tomasi Gustafsson , V. V. Bytev

We introduce a general technique to compute finite temperature electronic properties by a novel covariant formulation of the electronic partition function. By using a rigorous variational upper bound to the free energy we are led to the…

Strongly Correlated Electrons · Physics 2013-06-19 Guglielmo Mazzola , Andrea Zen , Sandro Sorella

The one-dimensional optical polaron is treated on the basis of the perturbation theory in the weak coupling limit. A special matrix diagrammatic technique is developed. It is shown how to evaluate all terms of the perturbation theory for…

Condensed Matter · Physics 2009-11-07 P. A. Khomyakov

We consider the Fr\"ohlich model of a polaron, and show that its effective mass diverges in the strong coupling limit.

Mathematical Physics · Physics 2020-08-20 Elliott H. Lieb , Robert Seiringer

We propose a quantum simulation of small-polaron physics using a one-dimensional system of trapped ions acted upon by off-resonant standing waves. This system, envisioned as an array of microtraps, in the single-excitation case allows the…

Quantum Gases · Physics 2012-12-18 Vladimir M. Stojanovic , Tao Shi , C. Bruder , J. Ignacio Cirac

Bipolaron formation in a two-dimensional lattice with harmonic confinement, representing a simplified model for a quantum dot, is investigated by means of quantum Monte Carlo simulations. This method treats all interactions exactly and…

Strongly Correlated Electrons · Physics 2007-10-25 Martin Hohenadler , Peter B Littlewood

This is a progress report on the calculation of the effective potential for the Polyakov loop in $SU(N)$ pure gauge theory beyond two-loop order. We introduce a new approach using the Poisson resummation formula to compute sum-integrals…

High Energy Physics - Theory · Physics 2018-11-29 Hiromichi Nishimura , Chris Korthals-Altes , Robert D. Pisarski , Vladimir Skokov

A quantum Monte Carlo algorithm is constructed starting from the standard perturbation expansion in the interaction representation. The resulting configuration space is strongly related to that of the Stochastic Series Expansion (SSE)…

Strongly Correlated Electrons · Physics 2009-10-30 A. W. Sandvik , R. R. P. Singh , D. K. Campbell

Various mechanisms have been put forward for cuprate superconductivity, which fit largely into two camps: spin-fluctuation and electron-phonon (el-ph) mechanisms. However, in spite of a large effort, electron-phonon interactions are not…

Superconductivity · Physics 2011-11-09 J. P. Hague , P. E. Kornilovitch , A. S. Alexandrov , J. H. Samson
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