Logarithmic Divergence of both In-Plane and Out-of-Plane Normal-State Resistivities of Superconducting<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">La</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mo>−</mml:mo><mml:mi>x</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">Sr</mml:mi></mml:mrow><mml:mrow><mml:mi>x</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mi mathvar

Ando, Yoichi; Boebinger, G. S.; Passner, A.; Kimura, T.; Kishio, K.

doi:10.1103/physrevlett.75.4662

Cited by 443 publications

(399 citation statements)

References 25 publications

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“…This behaviour holds only in the classical limit of nuclear motion, however. In the present case, a number of publications show that the resistivity tends to a finite value as T → 0 [38][39][40]. Theoretically, there are corrections that arise due to the Born-Oppenheimer approximation, since quantum mechanically, the nuclei may tunnel through the barrier.…”

Section: Behaviour Of Resistivity As T →mentioning

confidence: 99%

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Conductivity in Cuprates Arises from Two Different Sources: One-Electron Exchange and Disproportionation

Larsson

2016

J Supercond Nov Magn

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Simulation of the resistivity in the normal state of doped La 2−x Sr x CuO 4 has been performed using a hopping model based on Marcus theory. The results are in substantial agreement with experimental results. At oxidative doping, Cu(III) sites are formed and electron mobility possible due to hopping: Cu(III)Cu(II) → Cu(II)Cu(III) (one-electron exchange). In the underdoped, non-metallic region, the resistivity (ρ) decreases from almost insulation at T = 0 to a minimum at about T = 100 K. ρ then increases more than linearly with T (∼ T 3/2 ) in the region 100 < T < 500 K. A photo-induced metal-metal (MM) charge transfer transition at 2 eV 2Cu(II) + hν → Cu(I) + Cu(III) is responsible for the strong absorption in the visible spectrum of La 2 CuO 4 . The down-shift of spectral density with doping (x) in La 2−x Sr x CuO 4 depends on the appearance of Cu(III) sites which makes optical as well as thermal one-electron exchange transitions possible with lower energy. Disproportionation occurs spontaneously for x > 0.06, opening up for electron pair formation. Configuration interaction between two-electron states of low chemical potential, but strong vibrational coupling, gives rise to the superconductor and pseudogaps. Data from photo-induced conductivity and absorption spectra are used in the simulation, which gives results in good agreement with experiments. Possible explanations for Raman and MIR absorption suggest themselves.

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Section: Behaviour Of Resistivity As T →mentioning

confidence: 99%

“…6 and 7 reveal. Ando, Boebinger et al [38][39][40] have studied the behaviour of resistivity when the temperature tends to zero, by eliminating SC by alternating magnetic fields. Resistivity appears and can be measured.…”

Section: Behaviour Of Resistivity As T →mentioning

confidence: 99%

Conductivity in Cuprates Arises from Two Different Sources: One-Electron Exchange and Disproportionation

Larsson

2016

J Supercond Nov Magn

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“…For very low doping it falls down with the temperature, reaches a minimum at an intermediate temperature, starts to increase at lower temperature until it reaches a local maximum, an then it drops to zero below T c . This such a reentrant behavior is observed in almost all underdoped cuprates [29][30][31] but its origin has not been very much discussed in the literature. The significance and origin of such rich phenomena will be the focus of our work.…”

Section: Introductionmentioning

confidence: 99%

Random resistivity network calculations for cuprate superconductors with an electronic phase separation transition

Pinheiro¹,

Mello²

2012

Physica A: Statistical Mechanics and its Applications

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The resistivity as function of temperature of high temperature superconductors is very unusual and despite its importance lacks an unified theoretical explanation. It is linear with the temperature for overdoped compounds but it falls more quickly as the doping level decreases. The resistivity of underdoped cuprates increases as an insulator below a characteristic temperature where it shows a minimum. We show that this overall behavior can be explained by calculations using an electronic phase segregation into two main component phases with low and high electronic densities. The total resistence is calculated by the various contributions through several random picking processes of the local resistivities and using a common statistical Random Resistor Network approach.

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“…These issues involving inhomogeneities occur not only in the high-T c superconductors, but also in some other granular systems. For example we briefly mention that both underdoped high-T c superconductors [28] and other systems such as NbN [29] show a logarithmic dependence with temperature for the resistance in a magnetic field. Beloborodov et al [30] have mentioned that this logarithmic behavior can occur in granular systems and high-T c superconductors.…”

Section: Some Experiments On Inhomogenous Superconductors and Thoughtmentioning

confidence: 99%

An inhomogeneous Josephson phase in thin-film and high-Tc superconductors

Imry

Strongin

Homes

2008

Physica C: Superconductivity

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In many cases inhomogeneities are known to exist near the metal (or superconductor)-insulator transition, as follows from well-known domain-wall arguments. If the conducting regions are large enough (i.e. when the T = 0 superconducting gap is much larger than the single-electron level spacing), and if they have superconducting correlations, it becomes energetically favorable for the system to go into a Josephson-coupled zero-resistance state before (i.e. at higher resistance than) becoming a "real" metal. We show that this is plausible by a simple comparison of the relevant coupling constants. For small grains in the above sense, the electronic grain structure is washed out by delocalization and thus becomes irrelevant. When the proposed "Josephson state" is quenched by a magnetic field, an insulating, rather then a metallic, state should appear. This has been shown [1] to be consistent with the existing data on oxide materials as well as ultra-thin films. We discuss the Uemura correlations versus the Homes law, and derive the former for the large-grain Josephson array (inhomogenous superconductor) model. The small-grain case behaves like a dirty homogenous metal. It should obey the Homes law provided that the system is in the dirty supeconductivity limit. A speculation why that is typically the case for d-wave superconductors is presented.

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Logarithmic Divergence of both In-Plane and Out-of-Plane Normal-State Resistivities of SuperconductingLa2−xSrx

Cited by 443 publications

References 25 publications

Conductivity in Cuprates Arises from Two Different Sources: One-Electron Exchange and Disproportionation

Conductivity in Cuprates Arises from Two Different Sources: One-Electron Exchange and Disproportionation

Random resistivity network calculations for cuprate superconductors with an electronic phase separation transition

An inhomogeneous Josephson phase in thin-film and high-Tc superconductors

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