Double-time Green functions in statistical physics

Zubarev, D. N.

doi:10.3367/ufnr.0071.196005c.0071

Cited by 1,454 publications

(438 citation statements)

References 4 publications

(46 reference statements)

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“…The Heisenberg part of the Hamiltonian (1) conserves the local particle number and thus gives no contribution to the "current" operator (11). To treat properly a contribution from the H J term, we go one step further and similarly to Eq.…”

Section: Model and Memory Function Formalismmentioning

confidence: 99%

Charge dynamics and optical conductivity of thet−Jmodel

Jackeli

Плакида

1999

Phys. Rev. B

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The dynamic charge susceptibility and the optical conductivity are calculated in the planar t−J model within the memory function method, working directly in terms of Hubbard operators. The density fluctuation spectrum consists of a damped sound-like mode for small wave vectors and a broad high energy peak (∼ t) for large momenta. The study of the optical conductivity shows that electron scattering from spin fluctuations leads to the Drude-frequency dependent relaxation rate which exhibits a crossover from ω 3/2 behavior at low frequencies (ω < 2|µ|), to a linear ω-dependence for frequencies larger than 2|µ|. Due to the spin-polaron nature of charge carriers, extra absorptions arise starting at a frequency ω > ∼ J. The obtained results are in a good agreement with exact diagonalization studies.

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Section: Model and Memory Function Formalismmentioning

confidence: 99%

Charge dynamics and optical conductivity of thet−Jmodel

Jackeli

Плакида

1999

Phys. Rev. B

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“…where Ω 0 is a number to ensure the orthogonality of Ψ (1) to Ψ 0 . The excitation operator Ω(ω) can be found from the following equation 22,26 µ…”

Section: B Xcc Transition Momentsmentioning

confidence: 99%

“…[1][2][3] Many physical observables such as transition probabilities, dynamic polarizabilities, hyperpolarizabilities, and lifetimes are defined through the response functions or can be derived from the response functions. Until recently, properties of the excited electronic states were not easily available in high-resolution experiments, but with the advances of new spectroscopic techniques in the hot pipe 4?…”

Section: Introductionmentioning

confidence: 99%

Transition moments between excited electronic states from the Hermitian formulation of the coupled cluster quadratic response function

Tucholska

Lesiuk

Moszyński

2017

The Journal of Chemical Physics

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We introduce a new method for the computation of the transition moments between the excited electronic states based on the expectation value formalism of the coupled cluster theory (XCC) [B. Jeziorski and R. Moszynski, Int. J. Quant. Chem. 48, 161 (1993)]. The working expressions of the new method solely employ the coupled cluster operator T and an auxiliary operator S that is expressed as a finite commutator expansion in terms of T and T † . In the approximation adopted in the present paper the cluster expansion is limited to single, double, and linear triple excitations.The computed dipole transition probabilities for the singlet-singlet and triplet-triplet transitions in alkali earth atoms agree well with the available theoretical and experimental data. In contrast to the existing coupled cluster response theory, the matrix elements obtained by using our approach satisfy the Hermitian symmetry even if the excitations in the cluster operator are truncated, but the operator S is exact. The Hermitian symmetry is slightly broken if the commutator series for the operator S are truncated. As a part of the numerical evidence for the new method, we report calculations of the transition moments between the excited triplet states which have not yet been reported in the literature within the coupled cluster theory. Slater-type basis sets constructed according to the correlation-consistency principle are used in our calculations.

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“…For systems slightly deviated from equilibrium exact close expressions for their response functions to mechanical perturbations can be obtained in the form of correlation functions in equilibrium 51 . A practical way to calculate them is the double-time thermodynamic Green function formalism of Bogoliubov and Tyablikov, described in an already classic paper by Zubarev 52,53 . The actual calculation may be difficult for the case of interacting many-body systems but it is formally closed at this level.…”

Section: Highly Excited Plasma In Semiconductors (Heps)mentioning

confidence: 99%

Topics in Present-day Science Technology and Innovation: Ultrafast Relaxation Processes in Semiconductors

2015

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The nowadays notable development of all the modern technology, fundamental for the progress and well being of world society, imposes a great deal of stress in the realm of basic Physics, more precisely on Thermo-Mechanical Statistics. In electronics and optoelectronics we face situations involving physical-chemical systems far-removed-from equilibrium, where ultrafast (in pico-and femto-second scale) and non-linear processes are present. Here we describe in an extended overview the question of ultrafast relaxation processes in the excited plasma in semiconductors.

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Double-time Green functions in statistical physics

Cited by 1,454 publications

References 4 publications

Charge dynamics and optical conductivity of thet−Jmodel

Charge dynamics and optical conductivity of thet−Jmodel

Transition moments between excited electronic states from the Hermitian formulation of the coupled cluster quadratic response function

Topics in Present-day Science Technology and Innovation: Ultrafast Relaxation Processes in Semiconductors

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