Fröhlich polaron and bipolaron: recent developments

Devreese, Jozef T.; Alexandrov, A. S.

doi:10.1088/0034-4885/72/6/066501

Cited by 380 publications

(361 citation statements)

References 367 publications

(841 reference statements)

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“…The importance of understanding the influence of lattice defects on optical, conduction and transport properties of materials manifests repeatedly in the study of organic photovoltaic materials for solar cells 1 and high -Tc superconductors 2 , while proton dynamics deserves special attention because of the role hydrogen bonding plays in biochemistry.…”

Section: Introductionmentioning

confidence: 99%

Evidence of Polaron Excitations in Low Temperature Raman Spectra of Oxalic Acid Dihydrate

2016

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Low temperature Raman spectra of oxalic acid dihydrate (8K -300 K) both for polycrystalline and single crystal phase show strong variation with temperature in the interval from 1200 to 2000 cm -1 . Previous low temperature diffraction studies all confirmed the stability of the crystal P21/n phase with no indications of any phase transition, reporting the existence of a strong hydrogen bond between the oxalic acid and a water molecule. A new group of Raman bands in the 1200 -1300 cm -1 interval below 90 K is observed, caused by possible loss of the centre of inversion.This in turn could originate either due to disorder in hydroxyl proton positions, or due to proton transfer from carboxylic group to water molecule. The hypothesis of proton transfer is further supported by the emergence of new bands centered at 1600 cm -1 and 1813 cm -1 , which can be explained with vibrations of H3O + ions. The broad band at 1600 cm -1 looses intensity, while the band at 1813 cm -1 gains intensity on cooling. The agreement between quantum calculations of vibrational spectra and experimentally observed Raman bands of hydronium ions in oxalic acid sesquihydrate crystal corroborate this hypothesis.

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Section: Introductionmentioning

confidence: 99%

Evidence of Polaron Excitations in Low Temperature Raman Spectra of Oxalic Acid Dihydrate

2016

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“…In cuprates a first itinerant electron gas with pure b 1 orbital symmetry forming a Fermi pocket at (π,π) coexists with a polaronic gas with mixed b 1 +a 1 orbital character forming a Fermi pocket at (π,0) [16,[19][20][21][22][23][24][25] 3)…”

Section: Introductionmentioning

confidence: 99%

Shape Resonance at a Lifshitz Transition for High Temperature Superconductivity in Multiband Superconductors

Innocenti

Valletta²,

Bianconi

2010

J Supercond Nov Magn

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“…Ss, 67.85.Lm, In condensed matter physics, the behavior of a single impurity immersed in a sea of majority particles has been one of the simplest many-body problems and attracted much attention (see, e.g. [1,2]). Especially, transport of an impurity in Bosonic [3] and Fermionic [4,5] quantum liquids has been studied since a few decades ago.…”

mentioning

confidence: 99%

“…[1,2]). Especially, transport of an impurity in Bosonic [3] and Fermionic [4,5] quantum liquids has been studied since a few decades ago.…”

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confidence: 99%

Superdiffusive nonequilibrium motion of an impurity in a Fermi sea

Kim

Huse²

2012

Phys. Rev. A

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We treat the nonequilibrium motion of a single impurity atom in a low-temperature single-species Fermi sea, interacting via a contact interaction. In the nonequilibrium regime, the impurity does a superdiffusive geometric random walk where the typical distance traveled grows with time as ∼ t d/(d+1) for the d-dimensional system with d ≥ 2. For nonzero temperature T , this crosses over to diffusive motion at long times with diffusivity D ∼ T −(d−1)/2 . These results apply also to a nonzero concentration of impurity atoms as long as they remain dilute and nondegenerate.PACS numbers: 03.75. Ss, 67.85.Lm, In condensed matter physics, the behavior of a single impurity immersed in a sea of majority particles has been one of the simplest many-body problems and attracted much attention (see, e.g. [1,2]). Especially, transport of an impurity in Bosonic [3] and Fermionic [4,5] quantum liquids has been studied since a few decades ago. Recent realizations of ultra-cold polarized two-component atomic Fermi gases [6][7][8][9][10][11][12], with their remarkable controllability over parameters such as interaction strength and individual populations, have made it possible to directly access this type of quantum many-body system. Meanwhile, there have been a number of theoretical works on the single impurity problem in an ultracold Fermi gas [13][14][15][16][17], investigating the equilibrium and nearequilibrium properties. Quite naturally, transport phenomena have also been studied [18]. More recently, transport experiments of an ultracold mass-balanced polarized Fermi gas [19] and an ultracold mass-imbalanced mixture with unequal populations [20] opened new opportunities to directly investigate nonequilibrium and dynamic properties of population-imbalanced Fermi systems.In this paper, we discuss nonequilibrium transport in the high polarization and low temperature regime, without restricting ourselves within small deviations from equilibrium. As a limiting case of high polarization and low temperature, we first consider a single minority atom moving in a zero-temperature Fermi sea of majority atoms. We find that the impurity does a superdiffusive geometric random walk, where the time between collisions grows in proportion to time, and the impurity loses a fraction of order one of its energy in each collision. InAs is conventional, we call the majority species "up" ↑ and the minority (impurity) species "down" ↓. Note that in the regimes we study in this paper, the statistics of the minority atoms do not enter, so they may equally well be bosons or fermions. Assume the minority atom is initially near the origin in real space, with some probability distribution of its momentum Q ↓ with Q ↓ k F ↑ , where k F ↑ is the Fermi momentum of the majority Fermi sea. The minority atom is "dressed" either as a polaron or as a molecule, with effective mass m * and thus energy E ↓ ≈ 2 Q 2 ↓ 2m * ; we choose the rest energy of the dressed minority atom as its zero of energy. We assume that E ↓ is low enough so that no internal excitations of th...

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Fröhlich polaron and bipolaron: recent developments

Cited by 380 publications

References 367 publications

Evidence of Polaron Excitations in Low Temperature Raman Spectra of Oxalic Acid Dihydrate

Evidence of Polaron Excitations in Low Temperature Raman Spectra of Oxalic Acid Dihydrate

Shape Resonance at a Lifshitz Transition for High Temperature Superconductivity in Multiband Superconductors

Superdiffusive nonequilibrium motion of an impurity in a Fermi sea

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