Spectroscopic Properties of Polarons in Strongly Correlated Systems by Exact Diagrammatic Monte Carlo Method

Mishchenko, A. S.; Nagaosa, Naoto

doi:10.1007/978-1-4020-6348-0_12

Cited by 9 publications

(12 citation statements)

References 193 publications

(382 reference statements)

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“…(Kartheuser et al , 1969) and (Goovaerts et al , 1973)). A comparison of the DSG results with the optical conductivity spectra given by recently developed "approximation-free" numerical (Mishchenko et al , 2003) and approximate analytical , 2006 approaches was carried out recently (De Filippis et al , 2006), see also the review articles (Cataudella et al, 2007) and (Mishchenko and Nagaosa, 2007).…”

Section: Optical Absorption At Arbitrary Couplingmentioning

confidence: 99%

Fröhlich polaron and bipolaron: recent developments

2009

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It is remarkable how the Fröhlich polaron, one of the simplest examples of a Quantum Field Theoretical problem, as it basically consists of a single fermion interacting with a scalar Bose field of ion displacements, has resisted full analytical or numerical solution at all coupling since ∼ 1950, when its Hamiltonian was first written. The field has been a testing ground for analytical, semi-analytical, and numerical techniques, such as path integrals, strong-coupling perturbation expansion, advanced variational, exact diagonalisation (ED), and quantum Monte Carlo (QMC) techniques. This article reviews recent developments in the field of continuum and discrete (lattice) Fröhlich (bi)polarons starting with the basics and covering a number of active directions of research. * Electronic address: jozef.devreese@ua.ac.be † Electronic address: a.s.alexandrov@lboro.ac.uk

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Section: Optical Absorption At Arbitrary Couplingmentioning

confidence: 99%

Fröhlich polaron and bipolaron: recent developments

2009

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“…As was emphasized in a number of early qualitative [71] (1990s) and more recent numerical studies [90,91] of strongly correlated electrons with a significant EPI, the anti-ferromagnetic spin fluctuations facilitate a dopinginduced lattice polaron formation profoundly lowering the required strength of the bare EPI, but playing virtually no role in pairing compared with the EPI [42,92]. It is quite surprising that despite clear evidence for lattice polarons in cuprate and related superconductors, there are yet opinions (e.g.…”

Section: Concluding Remarks On Lattice (Bi)polarons In High-tempermentioning

confidence: 99%

High-temperature superconductivity: the explanation

Alexandrov

2011

Phys. Scr.

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Soon after the discovery of the first high temperature superconductor by Georg Bednorz and Alex Müller in 1986 the late Sir Nevill Mott answering his own question "Is there an explanation?" [Nature 327 (1987) 185] expressed a view that the Bose-Einstein condensation (BEC) of small bipolarons, predicted by us in 1981, could be the one. Several authors then contemplated BEC of real space tightly bound pairs, but with a purely electronic mechanism of pairing rather than with the electron-phonon interaction (EPI). However, a number of other researchers criticized the bipolaron (or any real-space pairing) scenario as incompatible with some angle-resolved photoemission spectra (ARPES), with experimentally determined effective masses of carriers and unconventional symmetry of the superconducting order parameter in cuprates. Since then the controversial issue of whether the electron-phonon interaction (EPI) is crucial for high-temperature superconductivity or weak and inessential has been one of the most challenging problems of contemporary condensed matter physics. Here I outline some developments in the bipolaron theory suggesting that the true origin of high-temperature superconductivity is found in a proper combination of strong electron-electron correlations with a significant finite-range (Fröhlich) EPI, and that the theory is fully compatible with the key experiments.

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“…Very recently, due to formal similarities much effort has been made to adapt these methods to Bose-Fermi mixtures [19,20,6,17,21,22,23,24]. Although the applicability and accuracy of these approximation schemes have in general to be questioned [25], their simplicity allows for an easy way to get first insights into the complex nature of electron-phonon interaction. Especially when it comes to the interpretation of numerical data, such analytical models proved to be of much use and importance.…”

Section: Rpa Results For the Response Functionmentioning

confidence: 99%

Dynamical response of ultracold interacting fermion–boson mixtures

Jia¹,

Maier²,

Komnik³

2014

Physica B: Condensed Matter

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We analyze the dynamical response of a ultracold binary gas mixture in presence of strong boson-fermion couplings. Mapping the problem onto that of the optical response of a metal/semiconductor electronic degrees of freedom to electromagnetic perturbation we calculate the corresponding dynamic linear response susceptibility in the non-perturbative regimes of strong bosonfermion coupling using diagrammatic resummation technique as well as quantum Monte Carlo simulations. We evaluate the Bragg spectral function as well as the optical conductivity and find a pseudogap, which forms in certain parameter regimes.

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Spectroscopic Properties of Polarons in Strongly Correlated Systems by Exact Diagrammatic Monte Carlo Method

Cited by 9 publications

References 193 publications

Fröhlich polaron and bipolaron: recent developments

Fröhlich polaron and bipolaron: recent developments

High-temperature superconductivity: the explanation

Dynamical response of ultracold interacting fermion–boson mixtures

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