Anharmonic contributions to vibrational thermodynamic properties of solids

Maradudin, A. A.; Flinn, P. A.; Coldwell-Horsfall, Rosemary A.

doi:10.1016/0003-4916(61)90188-9

Cited by 165 publications

(44 citation statements)

References 10 publications

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“…are the Fourier transform of third and fourth order anharmonic force constants, 16,19 respectively. C(k 1 , k 2 ) and D(k 1 , k 2 ) are the parameters depending upon the changes in mass and force constant due to the introduction of impurities.…”

Section: The Hamiltonian and Green's Functionmentioning

confidence: 99%

“…[10][11][12][13][14] In addition to this the presence of defects in the crystal drastically modify their vibrational spectrum. [15][16][17][18][19] The electronic properties of these layered or intercalation compounds are highly anisotropic because of the anisotropic motion of electrons. 20 The presence of structural defects, which are present in essentially all of high-T c layered cuprates systems play crucial roles in determining the superconducting properties like critical temperature, critical current density and many others.…”

Section: Introductionmentioning

confidence: 99%

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The electronic heat capacity of YBa2Cu3O7−δ superconductor

Singh

Indu

2016

AIP Advances

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The contributions due to the point defects or disorder and anharmonicities which play deterministic role in the understanding of electronic heat capacity (EHC) of high temperature superconductors (HTS) have been investigated via electron density of states (EDOS) approach on the basis of quantum dynamical many body theory. The evaluation of EDOS has been carried out with the help of most versatile method of double time temperature dependent electron Green’s functions (GF) via a Hamiltonian (non BCS type) which includes the effects of electrons, phonons, defects, anharmonicity, and electron-phonon interactions which enables to account the effects of cubic anharmonicity besides with both the force constant changes and mass difference caused by the impurities in developing the results for EDOS and EHC. The new results reveal some striking features of EHC of HTS.

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Section: The Hamiltonian and Green's Functionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

The electronic heat capacity of YBa2Cu3O7−δ superconductor

Singh

Indu

2016

AIP Advances

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“…This procedure is well known for the rigid ion model (e.g. Maradudin, Flinn, and Coldwell-Horsfall 1961), but little has been published regarding the extension of the harmonic shell model to include anharmonic terms. Another phenomenon that emphasizes the need to include anharmonic terms in the dynamics of the shell model is infrared lattice absorption.…”

Section: A Simple Anharmonic Shell Modelmentioning

confidence: 99%

Lattice Dynamics of Simple Harmonic and Anharmonic Shell Models

Oitmaa¹

1967

Aust. J. Phys.

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SummaryThe lattice dynamics of harmonic and anharmonic shell models are reviewed. It is shown that the various dynamical equations for the shell model can be expressed in the same form as those for the rigid ion model, but with modified force constants. The anharmonic shell model leads to higher order contributions to the dipole moment, quadratic and cubic in the normal coordinates, for which explicit expressions are obtained.

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“…For consistency the same approximation is made to F(2) and F(4). This was first carried out by Maradudin, Flinn, and Coldwell-Horsfall (1961a), and in the case of F(2) the result is…”

Section: High Temperature Approximationmentioning

confidence: 99%

“…The next term (15) When the cubic contribution F(3) is similarly expanded in powers of (3, the leading term is again proportional to (3-2. Every term involves the awkward factor Llq, +q,+cu but if the device of Maradudin, Flinn, and Coldwell-Horsfall (1961a) of expressing this as N-1l:: exp[i(ql +q2+q3) 'r~K]' is used, this leading term can be expressed as…”

Section: High Temperature Approximationmentioning

confidence: 99%