Dynamical Theory of the Large Polaron: Fock Approximation

Matz, D.; Burkey, B.C.

doi:10.1103/physrevb.3.3487

Cited by 46 publications

(17 citation statements)

References 20 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Concerning the classical version of this technique (characterized by Feynman diagrams and analytical partial summation procedures) only very few applications can be found. The early paper of Matz and Burkey [10] may serve as a representative example which clearly indicates the reason: it fails to provide a smooth interpolation between the well known weak-and strong-coupling limits of the ground-state energy. On the other hand, such an interpolation was proven to exist (see the work of Fraehlich [11], Spohn [12] and Ref.…”

mentioning

confidence: 97%

On the LO‐polaron dispersion in D dimensions

Gerlach¹,

Kalina

Smondyrev³

2003

Physica Status Solidi (b)

View full text Add to dashboard Cite

We discuss the (LO)polaron dispersion for arbitrary spatial dimension D. Firstly, we review the existing literature; recent numerical work is critically analyzed. Secondly, we derive novel upper bounds for the dispersion, which incorporate the correct behaviour of the dispersion up to third order of the coupling constant a. A totally analytical evaluation is performed in the case D ¼ 1. We compare the upper bounds with previously published lower bounds. Apart from a surrounding of zero dispersion, the relative deviation is on a few-percent scale.

show abstract

mentioning

confidence: 97%

On the LO‐polaron dispersion in D dimensions

Gerlach¹,

Kalina

Smondyrev³

2003

Physica Status Solidi (b)

View full text Add to dashboard Cite

show abstract

“…It is well known that polaron models often support the self-trapping phenomenon, when the ground state changes in a relatively narrow interval of parameters from light-to heavy-mass state with a sharp increase in the number of phonons contributing to the polaronic cloud. The same phenomenon was advocated for the Fröhlich model by a number of authors [5][6][7][8][9][10][11], including the statement that more than one stable polaron state exists in the region of intermediate α. Clearly, if there were a sharp transformation of the polaronic ground state, it would have been immediately seen in the phonon statistics.…”

Section: B Structure Of Polaronic Cloudmentioning

confidence: 73%

“…Moreover, as any linear combination of sufficiently large number R of randomly chosen parent configurations C fin η , η = 1, ..., R smoothes the saw-tooth noise, the deviation of a summary configuration C fin ref is normally lower than that of each additive one. 6. Elementary updates of class I (A) Shift of rectangular.…”

Section: Final Solution and Refinementmentioning

confidence: 99%

“…Moreover, some treatments are known to be in qualitative disagreement with the others. As a characteristic example, note that certain approaches suggest that the polaron states at small and large α's are of qualitatively different nature, and there should occur a sort of phase transition in the parameter α [5][6][7][8][9][10][11] (see, however, discussion in Ref. [12]).…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Comprehensive study of Fröhlich polaron

Mishchenko

Prokof’ev

Svistunov

et al. 2001

Int. J. Mod. Phys. B

View full text Add to dashboard Cite

A detailed study of the Fröhlich polaron model is performed on the basis of diagrammatic quantum Monte Carlo method [1]. The method is further developed both quantitatively (performance) and qualitatively (new estimators), and is enhanced by spectral analysis of the polaron Green function, within a novel approach. We present the best up to date results for the binding energy, and for the first time make available precise data for the effective mass, including the region of intermediate and strong couplings. We look at the structure of the polaron cloud and answer such questions as the average number of phonons in the cloud and their number/momentum distribution. The spectral analysis reveals non-trivial structure of the spectral density at intermediate and large coupling: the spectral continuum features pronounced peaks that we attribute to unstable excited states of the polaron.

show abstract

“…This shows that both approaches, Eqs. (43) and (39), lead to the same wavefunction and the same Pekar energy, Eq. (42).…”

Section: B Self-localizationmentioning

confidence: 99%

Theory of the rotating polaron: Spectrum and self-localization

et al. 2018

View full text Add to dashboard Cite

We study a quantum impurity possessing both translational and internal rotational degrees of freedom interacting with a bosonic bath. Such a system corresponds to a 'rotating polaron', which can be used to model, e.g., a rotating molecule immersed in an ultracold Bose gas or superfluid Helium. We derive the Hamiltonian of the rotating polaron and study its spectrum in the weak-and strong-coupling regimes using a combination of variational, diagrammatic, and mean-field approaches. We reveal how the coupling between linear and angular momenta affects stable quasiparticle states, and demonstrate that internal rotation leads to an enhanced self-localization in the translational degrees of freedom.

show abstract

Dynamical Theory of the Large Polaron: Fock Approximation

Cited by 46 publications

References 20 publications

On the LO‐polaron dispersion in D dimensions

On the LO‐polaron dispersion in D dimensions

Comprehensive study of Fröhlich polaron

Theory of the rotating polaron: Spectrum and self-localization

Contact Info

Product

Resources

About