<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>c</mml:mi></mml:math>-axis resistivity in high-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>T</mml:mi></mml:mrow><mml:mrow><mml:mi>c</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>superconductors

Zoli, Marco

doi:10.1103/physrevb.56.111

Cited by 12 publications

(5 citation statements)

References 19 publications

(19 reference statements)

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“…Similar ϵ‐θ JT polarons are currently considered relative to the observed colossal magnetoresistance in La 1− x Ca x MnO 3 and related materials. PJT polarons forming as fermionic excitations scatter from their associated double wells are mentioned as principal charge carriers maintaining the axial charge leak for an interplane coupling in single‐layer cuprates, such as La 2− x Sr x CuO 4 5.…”

Section: Discussionmentioning

confidence: 99%

“…Scientific interest in polarons, for example, vibronic Jahn–Teller and pseudo‐Jahn–Teller species 1, has been gathering momentum for some time in view of their presumed role in high‐temperature superconductivity and colossal magnetoresistance 2, 3. In particular, 2‐D vibronic polarons are mentioned within the context of a CuO 2 ‐plane conduction 4, while 1‐D vibronic polarons are assumed to be the carriers of interlayer leak currents in perovskites 5. Yet, some features of vibronic polarons in crystals have remained unresolved.…”

Section: Introductionmentioning

confidence: 99%

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Vibronic polarons: Self‐trapping, local rotation, and band features

Andreev

Ivanovich

Georgiev

2002

Int J of Quantum Chemistry

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ABSTRACT:We revisit basic theoretical concepts of local and itinerant vibronic polarons in crystals. The following results may be regarded as novel: (1) The electron self-trapping rate to a small polaron is calculated via the reaction rate method; subsequently, self-trapped on-center small polarons relax to an off-center vibronic polaron state. (2) The general vibronic Hamiltonian is redefined so as to incorporate both local and itinerant behavior and pairing into bipolarons or Cooper pairs. (3) The planar rotation and diametral tunneling of an off-center polaron around and across its centrosymmetrical site are dealt with to adiabatic approximation. (4) Variational calculations are made for vibronic polarons itinerant along 1-D chains by means of a two-band extension of Merrifield's ansatz. This investigation of vibronic polarons is undertaken in view of their presumed role in high-temperature superconductivity and colossal magnetoresistance.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Vibronic polarons: Self‐trapping, local rotation, and band features

Andreev

Ivanovich

Georgiev

2002

Int J of Quantum Chemistry

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“…The imaginary time formalism is widely used in semi-classical methods for the solution of quantum statistical problems [118] and it has been applied over the years to a number of condensed matter physics models, see for instance refs. [119][120][121][122].…”

Section: Methodsmentioning

confidence: 99%

Mesoscopic helical models for nucleic acids

Zoli

2021

Preprint

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Nucleic acids physical properties can be investigated by theoretical methods which range from fully atomistic representations to coarse grained models, e.g. the worm-like-chain, taken from polymer physics. Here I take an intermediate approach, usually named mesoscopic, and show how to build a three dimensional Hamiltonian model which accounts for the main interactions responsible for the stability of the helical molecules. While the 3D mesoscopic model yields a sufficiently detailed description of the helix at the level of the base pair, it also provides a convenient approach to extract information regarding the thermodynamics and structure of molecules in solution. The main features of a computational method developed over the last years are discussed together with some applications to the calculation of DNA flexibility properties.

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“…In materials such as the HTSc, colossal magnetoresistance oxides [60,61], organic molecular crystals [62], DNA molecules [63,64] and finite quantum structures [65,66], intermediate adiabatic polarons are relevant as carriers are strongly coupled to high energy optical phonons. For the HTSc systems, a path integral description had been proposed for polaron scattering by anharmonic potentials, due to lattice structure instabilities, as a possible mechanism for the non metallic behavior of the c-axis resistivity [67,68].…”

Section: Introductionmentioning

confidence: 99%

Polaron Mass and Electron-Phonon Correlations in the Holstein Model

Zoli

2010

Advances in Condensed Matter Physics

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The Holstein Molecular Crystal Model is investigated by a strong coupling perturbative method which, unlike the standard Lang-Firsov approach, accounts for retardation effects due to the spreading of the polaron size. The effective mass is calculated to the second perturbative order in any lattice dimensionality for a broad range of (anti)adiabatic regimes and electron-phonon couplings. The crossover from a large to a small polaron state is found in all dimensionalities for adiabatic and intermediate adiabatic regimes. The phonon dispersion largely smooths such crossover which is signalled by polaron mass enhancement and on site localization of the correlation function. The notion of self-trapping together with the conditions for the existence of light polarons, mainly in two-and three-dimensions, are discussed. By the imaginary time path integral formalism I show how non local electron-phonon correlations, due to dispersive phonons, renormalize downwards the e-ph coupling justifying the possibility for light and essentially small 2D Holstein polarons.

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c-axis resistivity in high-Tcsuperconductors

Cited by 12 publications

References 19 publications

Vibronic polarons: Self‐trapping, local rotation, and band features

Vibronic polarons: Self‐trapping, local rotation, and band features

Mesoscopic helical models for nucleic acids

Polaron Mass and Electron-Phonon Correlations in the Holstein Model

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