Vortex motion in high-temperature superconductors

Landau, I. L.; Ott, H. R.

doi:10.1103/physrevb.65.064511

Cited by 35 publications

(89 citation statements)

References 33 publications

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“…Recently Landau and Ott applied successfully a new scaling method to many high-T c reversible magnetization curves [3,4,5]. Several high-T c materials [4] data sets, obtained using different experimental procedures, were shown by Landau and Ott to obey their predicted scaling.…”

mentioning

confidence: 99%

“…The method of Landau and Ott [3], inspired in the original Abrikosov's [6] theory, assumes a temperature independent Ginzburg-Landau parameter κ. The basic hypothesis is that the temperature dependence of the magnetic susceptibility χ(H, T ) ≡ M (H, T )/H = χ(h) is all contained in the reduced field h = H/H c2 (T ), that is, in the upper critical field at temperature T: H c2 (T ).…”

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confidence: 99%

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Landau and Ott scaling for the kinetic energy density in the low-Tcconventional superconductorsLi2Pd3B
Doria
¹
,
Salem‐Sugui
²
,
Badica
³

et al. 2006
Phys. Rev. B
12
1
11
2
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Landau and Ott scaling for the kinetic energy density and the low T c conventional superconductors, Li 2 P d 3 B and Nb.Mauro M. Doria and S. Salem-Sugui Jr. The scaling approach recently proposed by Landau and Ott for isothermal magnetization curves is extended to the average kinetic energy density of the condensate. Two low Tc superconductors, Nb and Li2P d3B are studied and their isothermal reversible magnetization shown to display Landau and Ott scaling. Good agreement is obtained for the upper critical field Hc2(T ), determined from the Abrikosov approximation for the reversible region (standard linear extrapolation of the magnetization curve), and from the maximum of the kinetic energy curves. For the full range of data, which includes the irreversible region, the isothermal d.M.B/H 2 curves for Li2P d3B show an impressive collapse into a single curve over the entire range of field measurements. The Nb isothermal d.M.B/H 2 curves exhibit the interesting feature of a constant and temperature independent minimum value.

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confidence: 99%

mentioning

confidence: 99%

Landau and Ott scaling for the kinetic energy density in the low-Tcconventional superconductorsLi2Pd3B
Doria
¹
,
Salem‐Sugui
²
,
Badica
³

et al. 2006
Phys. Rev. B
12
1
11
2
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“…M ef f (H) represents the equilibrium magnetization curve for T = T 0 . 22,25 As may be seen in H/h c2 (T) (kOe) The temperature dependencies of the scaling parameters h c2 and c 0 are presented in Fig. 2.…”

mentioning

confidence: 81%

Comment on “Enhanced two-dimensional properties of the four-layered cuprate high-TcsuperconductorTlBa2Ca3
Landau
¹
,
Ott
²

2005
Phys. Rev. B
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We reanalyze published magnetization data and demonstrate that the conclusion of the original authors, claiming enhanced two-dimensional properties of the cuprate superconductor TlBa2Ca3Cu4Oy, is not supported by the experimental results. Our analysis shows that the magnetic field dependence of the mixed-state magnetization for this particular sample is amazingly close to the results of numerical calculations by E. H. Brandt for an ideal vortex lattice without fluctuations. This good agreement between experiment and theory allows for the evaluation of the absolute values of the upper critical field Hc2(T ).PACS numbers: 74.25. Op, 74.25.Qt, We consider the recent study of the magnetization in the superconducting state of TlBa 2 Ca 3 Cu 4 O y .1 While we appreciate the high quality of the experimental data, we question most of the conclusions that were made in Ref.1. As we argue below, the questionable conclusions are not due to some obvious errors in the data analysis but rather a consequence of the inadequacy of the methods that are traditionally used for the analyses of equilibrium magnetization data obtained for the mixed state of type-II superconductors.The tool most often used for such analyses is the Hao-Clem model 2 which represents an analytical approximation to the Ginzburg-Landau theory of the Abrikosov vortex lattice.3 It is commonly accepted that this model provides a quantitative description of the mixed state magnetization in high-T c superconductors (HTSC) and offers the possibility to calculate the thermodynamic critical field H c and the Ginzburg-Landau parameter κ from experimental magnetization data. It has been noticed that the use of this model for the interpretation of corresponding M (H) data practically always leads to unphysical results, such as a strong increase of the calculated κ values with increasing temperature. 1,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18 Instead of rising some doubts in the validity of the model, this feature was taken as evidence of a particularly strong influence of thermal fluctuations on the sample magnetization at temperatures still well below T c . 1,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20 However, we recently demonstrated that the fluctuation induced corrections to the magnetization remain negligibly small up to temperatures very close to T c , 21 thus suggesting a more general inadequacy of the model. While on previous occasions we could only speculate on the origin of the failure of the model, we are now able to show that most likely it is the insufficient accuracy in the calculation of M (H, κ) using the Hao-Clem model.For our data analysis we use a simple scaling procedure developed in Ref. 22. Subsequent work demonstrated that this scaling procedure may successfully be used for analysing the reversible magnetization data, collected for numerous samples of different families of HTSC's and available in the literature. 22,23,24 One of the main advantages of this scaling approach is that no specific M (H) dependence needs to be assumed a priori. The proc...

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“…In this particular case, the magnetic susceptibility χ(H, T ) of a type-II superconductor in the mixed state is a universal function of H/H c2 (T ) [2] and, according to Ref. [1], the relation between the values of M at two different temperatures is…”

Section: Introductionmentioning

confidence: 91%

“…[1], this universality does not necessarily mean that the GL parameter κ in HTSC's is indeed temperature independent. It only indicates that, if κ is temperature dependent, its temperature dependence is nearly the same for all compounds in each of the above mentioned groups.…”

Section: Introductionmentioning

confidence: 99%

Temperature dependence of the upper critical field of high-Tc superconductors from isothermal magnetization data: influence of a temperature dependent Ginzburg–Landau parameter

Landau

Ott

2003

Physica C: Superconductivity

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Vortex motion in high-temperature superconductors

Cited by 35 publications

References 33 publications

Landau and Ott scaling for the kinetic energy density in the low-Tcconventional superconductorsLi2Pd3B
Doria
¹
,
Salem‐Sugui
²
,
Badica
³

et al. 2006
Phys. Rev. B
12
1
11
2
View full text Add to dashboard Cite

Landau and Ott scaling for the kinetic energy density in the low-Tcconventional superconductorsLi2Pd3B
Doria
¹
,
Salem‐Sugui
²
,
Badica
³

et al. 2006
Phys. Rev. B
12
1
11
2
View full text Add to dashboard Cite

Comment on “Enhanced two-dimensional properties of the four-layered cuprate high-TcsuperconductorTlBa2Ca3
Landau
¹
,
Ott
²

2005
Phys. Rev. B
Self Cite
6
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5
0
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Temperature dependence of the upper critical field of high-Tc superconductors from isothermal magnetization data: influence of a temperature dependent Ginzburg–Landau parameter

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Vortex motion in high-temperature superconductors

Cited by 35 publications

References 33 publications

Landau and Ott scaling for the kinetic energy density in the low-Tcconventional superconductorsLi2Pd3BDoria1, Salem‐Sugui2, Badica3 et al. 2006Phys. Rev. B121112View full textAdd to dashboardCite

Landau and Ott scaling for the kinetic energy density in the low-Tcconventional superconductorsLi2Pd3BDoria1, Salem‐Sugui2, Badica3 et al. 2006Phys. Rev. B121112View full textAdd to dashboardCite

Comment on “Enhanced two-dimensional properties of the four-layered cuprate high-TcsuperconductorTlBa2Ca3Landau1, Ott2 2005Phys. Rev. BSelf Cite6050View full textAdd to dashboardCite

Temperature dependence of the upper critical field of high-Tc superconductors from isothermal magnetization data: influence of a temperature dependent Ginzburg–Landau parameter

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Landau and Ott scaling for the kinetic energy density in the low-Tcconventional superconductorsLi2Pd3B
Doria
¹
,
Salem‐Sugui
²
,
Badica
³

et al. 2006
Phys. Rev. B
12
1
11
2
View full text Add to dashboard Cite

Landau and Ott scaling for the kinetic energy density in the low-Tcconventional superconductorsLi2Pd3B
Doria
¹
,
Salem‐Sugui
²
,
Badica
³

et al. 2006
Phys. Rev. B
12
1
11
2
View full text Add to dashboard Cite

Comment on “Enhanced two-dimensional properties of the four-layered cuprate high-TcsuperconductorTlBa2Ca3
Landau
¹
,
Ott
²

2005
Phys. Rev. B
Self Cite
6
0
5
0
View full text Add to dashboard Cite