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We derive an effective polaronic interaction Hamiltonian, {\it exact to second order in perturbation}, for the spinless one-dimensional Holstein model. The small parameter is given by the ratio of the hopping term ($t$) to the polaronic…

Strongly Correlated Electrons · Physics 2009-11-10 Sanjoy Datta , Arnab Das , Sudhakar Yarlagadda

The interplay between quarter-filled and half-filled umklapp scattering has been examined by applying the renormalization group method to a one-dimensional quarter-filled electron system with dimerization, on-site (U) and nearest-neighbor…

Strongly Correlated Electrons · Physics 2009-11-07 Masahisa Tsuchiizu , Hideo Yoshioka , Yoshikazu Suzumura

The quantum phase transitions in the one-dimensional asymmetric Hubbard model are investigated with the bosonization approach. The conditions for the phase transition from density wave to phase separation, the correlation functions and…

Strongly Correlated Electrons · Physics 2009-11-13 Z. G. Wang , Y. G. Chen , S. J. Gu

We study a two dimensional, two-band double-exchange model for $e_g$ electrons coupled to Jahn-Teller distortions in the presence of quenched disorder using a recently developed Monte-Carlo technique. In the absence of disorder the…

Strongly Correlated Electrons · Physics 2008-01-29 Sanjeev Kumar , Arno P. Kampf , Pinaki Majumdar

A two-dimensional Heisenberg model with random antiferromagnetic nearest-neighbor exchange is studied using quantum Monte Carlo techniques. As the strength of the randomness is increased, the system undergoes a transition from an…

Condensed Matter · Physics 2009-10-22 Anders W. Sandvik , Marco Vekic

Studying the nature and consequences of electron-phonon interaction in manganites is an area of intense ongoing research. Here, in an attempt to model charge and orbital ordering in manganites displaying C-type antiferromaganetism, we study…

Strongly Correlated Electrons · Physics 2015-01-27 Ravindra Pankaj , Sudhakar Yarlagadda

In multifrequency atomic force microscopy higher eigenmodes are externally excited to enhance resolution and contrast while simultaneously increasing the number of experimental observables with the use of gentle forces. Here, the…

Mesoscale and Nanoscale Physics · Physics 2014-07-14 Sergio Santos , Victor Barcons

The influence of dispersion-less quantum optical phonons on the phase diagram of a quarter-filled Hubbard chain is studied using the Density-matrix renormalization group technique. The ground state phase diagram is obtained for frequencies…

Strongly Correlated Electrons · Physics 2009-10-31 Philippe Maurel , Marie-Bernadette Lepetit

We characterize the current-carrying nonequilibrium steady-state in a single-band Hubbard model confronted with a static electric field in the presence of quenched disorder. As disorder is not expected to dissipate the extra energy injected…

Strongly Correlated Electrons · Physics 2023-10-19 Tommaso Maria Mazzocchi , Daniel Werner , Enrico Arrigoni

A new formalism using the ideas of the augmented space recursion (introduced by one of us) has been proposed to study the ground state properties of ordered and disordered one-dimensional Holstein model. For ordered case our method works…

Disordered Systems and Neural Networks · Physics 2009-11-11 Atisdipankar Chakrabarti , Monodeep Chakraborty , Abhijit Mookerjee

The quasi-one-dimensional S=1 Heisenberg antiferromagnet with a biquadratic term is investigated at zero temperature by quantum Monte Carlo simulation. As the magnitude of the inter-chain coupling is increased, the system undergoes a phase…

Statistical Mechanics · Physics 2015-06-25 Kenji Harada , Naoki Kawashima , Matthias Troyer

Despite fermion doubling, a two-dimensional quasi-relativistic spin-1/2 system can still lead to true fractionalization of electrical charge, when a massive ordered phase supports a "half-vortex". Such topological defect is possible when…

Mesoscale and Nanoscale Physics · Physics 2016-04-13 Bitan Roy , Igor F. Herbut

The new perturbation theory for the problem of nonstationary anharmonic oscillator with polynomial nonstationary perturbation is proposed. As a zero order approximation the exact wave function of harmonic oscillator with variable frequency…

Quantum Physics · Physics 2016-09-08 Alexander V. Bogdanov , Ashot S. Gevorkyan

Electron- and phonon spectral functions of the one-dimensional, spinless-fermion Holstein model at half filling are calculated in the four distinct regimes of the phase diagram, corresponding to an attractive or repulsive Luttinger liquid…

Strongly Correlated Electrons · Physics 2007-05-23 M. Hohenadler , G. Wellein , A. R. Bishop , A. Alvermann , H. Fehske

The coupling between doubly degenerate electronic states and doubly degenerate vibrations is analysed for an octahedral system on the basis of the introduction of an anharmonic Morse potential for the vibronic part. The vibrations are…

Quantum Physics · Physics 2007-05-23 N. M. Avram , Gh. E. Draganescu , M. R. Kibler

An exact-diagonalization technique on small clusters is used to study the ground state of the dimerized t-J model at quarter filling. The equal-time charge and spin correlations, charge and spin gaps, and binding energy are calculated for…

Strongly Correlated Electrons · Physics 2009-10-31 S. Nishimoto , Y. Ohta

The amorphous solids can be theoretically modeled by anharmonic disordered lattices. However, most of theoretical studies on thermal conductivity in anharmonic disordered lattices only focus on the potentials of hard-type (HT)…

Statistical Mechanics · Physics 2023-03-16 Jianjin Wang , Chi Xiong , Daxing Xiong

The Holstein model is a paradigmatic description of the electron-phonon interaction, in which electrons couple to local dispersionless phonon modes, independent of momentum. The model has been shown to host a variety of ordered ground…

Strongly Correlated Electrons · Physics 2023-05-12 Owen Bradley , Benjamin Cohen-Stead , Steven Johnston , Kipton Barros , Richard T. Scalettar

We present an exact Monte Carlo method to simulate the nonequilibrium dynamics of electron-phonon models in the adiabatic limit of zero phonon frequency. The classical nature of the phonons allows us to sample the equilibrium phonon…

Strongly Correlated Electrons · Physics 2022-02-16 Manuel Weber , James K. Freericks

The dynamical interplay between electron-electron interactions and electron-phonon coupling is investigated within the Anderson-Holstein model, a minimal model for open quantum systems that embody these effects. The influence of phonons on…

Strongly Correlated Electrons · Physics 2016-05-25 Hsing-Ta Chen , Guy Cohen , Andrew J. Millis , David R. Reichman
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