Analytic continuation of temperature-dependent diagrams and unitarity conditions at finite temperatures

Maleev, S. V.

doi:10.1007/bf01246669

Cited by 8 publications

(6 citation statements)

References 1 publication

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“…23 Since this method for T > 0 is largely unknown to the wider audience, we sketch the main points of it below. Readers not interested in the details of calculation may skip to Eq.…”

Section: B Calculation By "Unitarity Condition" Methodsmentioning

confidence: 99%

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Luttinger liquids with curvature: Density correlations and Coulomb drag effect

Aristov

2007

Phys. Rev. B

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We consider the effect of the curvature in fermionic dispersion on the observable properties of Luttinger liquid (LL). We use the bosonization technique where the curvature is irrelevant perturbation, describing the decay of LL bosons (plasmon modes). When possible, we establish the correspondence between the bosonization and the fermionic approach. We analyze modifications in density correlation functions due to curvature at finite temperatures, T . The most important application of our approach is the analysis of the Coulomb drag by small momentum transfer between two LL, which is only possible due to curvature. Analyzing the a.c. transconductivity in the one-dimensional drag setup, we confirm the results by Pustilnik et al. for T −dependence of drag resistivity, R12 ∼ T 2 at high and R12 ∼ T 5 at low temperatures. The bosonization allows for treating both intra-and inter-wire electron-electron interactions in all orders, and we calculate exact prefactors in low-T drag regime. The crossover temperature between the two regimes is T1 ∼ EF ∆, with ∆ relative difference in plasmon velocities. We show that ∆ = 0 even for identical wires, due to lifting of degeneracy by interwire interaction, U12, leading to crossover from R12 ∼ U 2 12 T 2 to R12 ∼ T 5 /U12 at T ∼ U12.

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“…23 Since this method for T > 0 is largely unknown to the wider audience, we sketch the main points of it below. Readers not interested in the details of calculation may skip to Eq.…”

Section: B Calculation By "Unitarity Condition" Methodsmentioning

confidence: 99%

“…The analytical structure of more complicated diagrams at finite T becomes rather involved, see Ref. 23, and a general proof of the cancellation of these vertex corrections should be considered elsewhere. Here we make a conjecture that the singular terms represented by the second diagram in Fig.…”

Section: B Calculation By "Unitarity Condition" Methodsmentioning

confidence: 99%

Luttinger liquids with curvature: Density correlations and Coulomb drag effect

Aristov

2007

Phys. Rev. B

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“…Actually, this fact enables to calculate the leading-order contribution to the damping of phonon mode exactly. Applying unitarity conditions at finite temperatures [41] and using our estimations for the infrared structure of the effective action from the previous section we evaluated the imaginary parts of various analytically continued second-order vertices (see Appendix for details).…”

Section: Phonon Dampingmentioning

confidence: 99%

“…FIG.2: Diagrammatic representation of the leading-order contribution to Πϕρ(ω, k). Crosses denote the spectral weights of the appropriate pair correlation functions (see Ref [41]. for details).…”

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confidence: 99%

Infrared Behavior of Dipolar Bose Systems at Low Temperatures

Pastukhov

2016

J Low Temp Phys

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We rigorously discuss the infrared behavior of the uniform three dimensional dipolar Bose systems. In particular, it is shown that low-temperature physics of the system is controlled by two parameters, namely isothermal compressibility and intensity of the dipole-dipole interaction. By using a hydrodynamic approach we calculate the spectrum and damping of low-lying excitations and analyze the infrared behavior of the one-particle Green's function. The low-temperature corrections to the anisotropic superfluid density as well as condensate depletion are found. Additionally we derive equations of the two-fluid hydrodynamics for dipolar Bose systems and calculate velocities of first and second sound.

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“…3 has been analyzed following the procedure of analytical continuation of Matsubara Green's function 15 with making use of analytical properties of two-particle Green's functions. 22 The resulting equation for F (ε, ω, p, q − p 1 ) has the form…”

Section: B Quantum Contribution To Conductancementioning

confidence: 99%

Possible weak temperature dependence of electron dephasing

et al. 2002

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The first-principle theory of electron dephasing by disorder-induced two state fluctuators is developed. There exist two mechanisms of dephasing. First, dephasing occurs due to direct transitions between the defect levels caused by inelastic electron-defect scattering. The second mechanism is due to violation of the time reversal symmetry caused by time-dependent fluctuations of the scattering potential. These fluctuations originate from an interaction between the dynamic defects and conduction electrons forming a thermal bath. The first contribution to the dephasing rate saturates as temperature decreases. The second contribution does not saturate, although its temperature dependence is rather weak, ∝ T 1/3 . The quantitative estimates based on the experimental data show that these mechanisms considered can explain the weak temperature dependence of the dephasing rate in some temperature interval. However, below some temperature dependent on the model of dynamic defects the dephasing rate tends rapidly to zero. The relation to earlier studies of the dephasing caused by the dynamical defects is discussed.

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Analytic continuation of temperature-dependent diagrams and unitarity conditions at finite temperatures

Cited by 8 publications

References 1 publication

Luttinger liquids with curvature: Density correlations and Coulomb drag effect

Luttinger liquids with curvature: Density correlations and Coulomb drag effect

Infrared Behavior of Dipolar Bose Systems at Low Temperatures

Possible weak temperature dependence of electron dephasing

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