By Alexandre S. Alexandrov, Jozef T. Devreese (auth.)
While uncomplicated positive factors of polarons have been good famous many years in the past and feature been defined in a few evaluate papers and textbooks, curiosity within the position of electron-phonon interactions and polaron dynamics in modern fabrics has lately passed through a lively revival. Electron-phonon interactions were proven to be suitable in high-temperature superconductors and mammoth magnetoresistance oxides, and shipping via nanowires and quantum dots additionally usually will depend on vibronic displacements of ions. the ongoing curiosity in polarons extends past actual description of complex fabrics. the sector has been a trying out floor for analytical, semi-analytical, and numerical innovations, akin to direction integrals, strong-coupling perturbation enlargement, complex variational, certain diagonalization, density-matrix renormalization workforce, dynamic mean-field, and quantum Monte Carlo strategies. unmarried and multi-polaron theories have provided a brand new perception in our realizing of high-temperature superconductivity, great magnetoresistance, and the correlated delivery via molecular quantum dots. This publication studies a few contemporary advancements within the box of polarons, beginning with the fundamentals and masking a couple of energetic instructions of analysis.
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Extra info for Advances in Polaron Physics
105) for the optical conductivity obtained from the DQMC results  agrees well with that for the optical conductivity found within the path-integral approach in . 105) within the aforementioned accuracy. 107) 0 (DQMC) (DSG) using the ﬁrst-frequency moments M1 and M1 . The results of this comparison are presented in Fig. 16. The dots indicate the polaron groundstate energy calculated by Feynman using his variational principle for path integrals. The solid curve is the value of E0 (α) calculated numerically using the optical conductivity spectra and the ground-state theorem with the DSG optical conductivity  for the polaron: (DSG) E0 (α) ≡ − 3 π α 0 dα α ∞ ΩRe σ (DSG) (Ω, α ) dΩ.
4 Response of Continuum Polarons 37 absorption. The one-, two-, . . , K-, . . phonon sidebands of the zero-phonon peak give rise to a broad structure in the absorption spectrum. 141α2ω0 . To summarize, following , the polaron optical absorption spectrum at strong coupling is characterized by the following features (at T = 0): (a) An absorption peak (“zero-phonon line”) appears, which corresponds to a transition from the ground state to the ﬁrst RES at ΩRES . (b) For Ω > ΩRES + ω0 , a phonon sideband structure arises.
6ω0 is interpreted as a FC band (composed of LO-phonon sidebands). As seen from Fig. 14ω0 stabilizes. Up to α = 6, the DQMC results of  reproduce the main features of the optical absorption spectrum of a Fr¨ ohlich polaron as found in . Based on Devreese et al. , in CdO . 22 . 99) due to the zeros of Ω − Re Σ(Ω) can eﬀectively be displaced to smaller polaron coupling by applying an external magnetic ﬁeld B, in which case the contribution for what is formally a “RES-type resonance” arises at Ω − ωc − Re Σ(Ω) = 0 (ωc = eB/m is the cyclotron frequency).
Advances in Polaron Physics by Alexandre S. Alexandrov, Jozef T. Devreese (auth.)