Vortex motion and kosterlitz-thouless transition in superconducting single crystals Bi2Sr2CaCu2Ox

Artemenko, S. N.; Gorlova, I. G.; Latyshev, Yu. I.

doi:10.1016/0375-9601(89)90845-1

Cited by 169 publications

(40 citation statements)

References 15 publications

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“…Their dissociation may be the reason for the KT-type features that have been observed in early investigations of I-V characteristics on thin Bi 2 Sr 2 CaCu 2 O 8 crystals [27].…”

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confidence: 99%

Two-dimensional fluctuations close to the zero-field transition ofBi2Sr2CaCu
Kötzler¹,
Kaufmann²
1997
Phys. Rev. B
8
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The ac-conductivity along the CuO2-layers of epitaxial films and single crystals of thicknesses 0.2µm≤ Lz ≤130µm reveals clear signatures for 2D-ordering. In particular, at Tc the screening length assumes the universal value LzΛT c /2νs predicted by the Kosterlitz-Thouless theory, which indicates that binding of long vortex strings nucleates long-range superconductivity in the present samples containing up to 10 5 CuO2-layers. Several details of the order-parameter dynamics remain unexplained.PACS numbers: 74.40.+k, 74.25.Fy, 74.72.Hs The layered structure of the high-T c oxide superconductors (HTSC) promotes the formation of topological exitations which may reduce T c to temperatures significantly below the mean-field value T c0 , where a finite Cooper-pair density n In order to provide a deeper insight into the ordering process in bulk (N ≫ 1) samples of the strongly layered HTSC Bi 2 Sr 2 CaCu 2 O 8 , where γ > ∼ 100, we present here a first study of the linear ac-conductivity σ(ω) in the highly conducting and fluctuating regime below T c0 . By scaling analyses, we determine static screening length λ 2 ± associated with superconducting and normal fluctuations above and below T c , respectively. For all temperatures above T c , λ 2 + provides quantitative evidence for 2D-ordering in the single crystals and the epitaxial film under study of thicknesses L z between 0.2µm and 130µm, and the dynamical shape of σ(ω) is described assuming 2D-fluctuations of the order parameter Ψ. At T c , the effective penetration depth 2λ 2 (T c )/L z agrees with the universal length associated with the KT transition. The high, universal value of the phase angle at T c , σ ′′ /σ ′ = 13.5 (1) 5 CuO 2 -planes, signatures of 3D-ordering appear only at temperatures below T c .Our inductive method for determining high ac conductivities from the measured linear magnetic susceptibility χ(ω) = χ ′ + iχ ′′ has been outlined before for bulk [14] and thin film [12] samples. Exact numerical relations between χ(ω) and σ(ω) = σ ′ + iσ ′′ were derived by E.H. Brandt for disks of arbitrary thickness [15], and using a complex inversion scheme, we evaluated σ(ω). We examine here a 0.2µm thick film epitaxially grown for SQUID fabrication [16] and crystalline discs of thicknesses between 13µm and 130µm, which were cleaved from the same crystal grown by L. Winkeler [17]. One of the great advantages of investigations of σ(ω) lies in the possibility of a precise determination of the onset for long-range superconductivity at the temperature where the frequency variation of the phase angle, d(σ ′′ /σ ′ )/dω, changes its sign [18].The first of such results for Bi 2 Sr 2 CaCu 2 O 8 are depicted in Fig.1 showing well defined intersections of the phase, i.e. d(σ ′′ /σ ′ )/dω = 0. Several novel features are seen. Despite the rather different T c 's of crystal and film, both attain there the same value of the phase angle, ϕ c ≡ arctan(σ ′′ /σ ′ ) Tc = 85.9 0 (8), in zero magnetic field. Since we observed the same value also on many other Bi 2 Sr 2 CaCu 2 O 8 ...

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“…Their dissociation may be the reason for the KT-type features that have been observed in early investigations of I-V characteristics on thin Bi 2 Sr 2 CaCu 2 O 8 crystals [27].…”

mentioning

confidence: 99%

Two-dimensional fluctuations close to the zero-field transition ofBi2Sr2CaCu
Kötzler¹,
Kaufmann²
1997
Phys. Rev. B
8
1
8
0
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“…Sign anomaly in Hall conductivity has been observed in various superconducting systems such as high-temperature SCs, [31][32][33] and it is known that single vortex "upstream" motion or change of sign of charge carriers could give rise to such phenomenon. 28 Here in our model the sign change in ℑ(ǫ From the dip-recouping shape of ℑ[G ⊥ (r, ω)] in Fig.…”

Section: Results and Discussion In Charged Systemmentioning

confidence: 99%

Zero-Field Vortex-Induced Hall Effect and Polar Kerr Effect in Chiral p-Wave Superconductors near Kosterlitz-Thouless Transition

Chung

Kato

2013

J Low Temp Phys

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We discuss Hall effect and power dissipation in chiral p-wave superconductors near KosterlitzThouless transition in the absence of applied magnetic field. In bound pair dynamics picture, nonzero Hall conductivity emerges when vortex-antivortex bound pair polarization has a component transverse to the direction of external perturbation. Such effect arises from the broken time reversal symmetry nature of a chiral p-wave superconducting state and does not require an applied magnetic field. A frequency-dependent matrix dielectric function ǫ(ω) is derived to describe the screening effect due to the pair polarization. Quantities related to the Hall conductivity and power dissipation, denoted as ǫ Consequences due to free vortex dynamics and the resulting total conductivity tensor σ are also discussed.

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“…[17][18][19][20][21][22][23] They suggested that, if the drag force has components along v L and v L ϫẑ analogous to the theory of the superfluid, 24-27 the Hall angle inversion can then be explained simply from the force balance equation for a single vortex, assuming that the NV result for a very-lowtemperature region is valid for the high-temperature region near T c . Contrary to the Ferrell's theory 28 which assumes that there exists a drag force due to the Andreev reflection of quasiparticles by the diamagnetic current outside the vortex core, our theory, based on no presumption, shows that dissipation due to the drag force occurs in the normal core alone.…”

Section: ͑21͒mentioning

confidence: 99%

Paramagnetic current and dissipative vortex motion in type-II superconductors

Park

Salk

1998

Phys. Rev. B

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In order to find the microscopic origin of the components of the paramagnetic current generated in a moving vortex core, we present a perturbation method to solve the Bogoliubov-de Gennes equations for a moving vortex in clean type-II superconductors. The paramagnetic current and its associated dissipation at the moving vortex core are shown to result from intrinsic concommitant effects. From the present perturbation approach involving no presupposition of the Magnus force, the long-standing problem of the validity of the two different classical models is discussed. The components of the derived paramagnetic current are found to be identical to the classical model of Noziéres and Vinen. ͓S0163-1829͑98͒03809-0͔

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Vortex motion and kosterlitz-thouless transition in superconducting single crystals Bi2Sr2CaCu2Ox

Cited by 169 publications

References 15 publications

Two-dimensional fluctuations close to the zero-field transition ofBi2Sr2CaCu
Kötzler¹,
Kaufmann²
1997
Phys. Rev. B
8
1
8
0
View full text Add to dashboard Cite

Two-dimensional fluctuations close to the zero-field transition ofBi2Sr2CaCu
Kötzler¹,
Kaufmann²
1997
Phys. Rev. B
8
1
8
0
View full text Add to dashboard Cite

Zero-Field Vortex-Induced Hall Effect and Polar Kerr Effect in Chiral p-Wave Superconductors near Kosterlitz-Thouless Transition

Paramagnetic current and dissipative vortex motion in type-II superconductors

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Vortex motion and kosterlitz-thouless transition in superconducting single crystals Bi2Sr2CaCu2Ox

Cited by 169 publications

References 15 publications

Two-dimensional fluctuations close to the zero-field transition ofBi2Sr2CaCuKötzler1, Kaufmann2 1997Phys. Rev. B8180View full textAdd to dashboardCite

Two-dimensional fluctuations close to the zero-field transition ofBi2Sr2CaCuKötzler1, Kaufmann2 1997Phys. Rev. B8180View full textAdd to dashboardCite

Zero-Field Vortex-Induced Hall Effect and Polar Kerr Effect in Chiral p-Wave Superconductors near Kosterlitz-Thouless Transition

Paramagnetic current and dissipative vortex motion in type-II superconductors

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Two-dimensional fluctuations close to the zero-field transition ofBi2Sr2CaCu
Kötzler¹,
Kaufmann²
1997
Phys. Rev. B
8
1
8
0
View full text Add to dashboard Cite

Two-dimensional fluctuations close to the zero-field transition ofBi2Sr2CaCu
Kötzler¹,
Kaufmann²
1997
Phys. Rev. B
8
1
8
0
View full text Add to dashboard Cite