Anisotropic Peak Effect due to Structural Phase Transition in the Vortex Lattice

Rosenstein, Baruch; Knigavko, A.

doi:10.1103/physrevlett.83.844

Cited by 32 publications

(40 citation statements)

References 35 publications

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“…The situation in 2D is better since the sample size is much larger. We performed similar calculation to that in 3D for the 2D LLL GL liquid free energy, combined it with the earlier solid energy calculation (Li and Rosenstein, 2002a;Rosenstein, 1999) …”

Section: Location Of the Melting Linementioning

confidence: 99%

“…Paul et al, 1998;Sasagawa et al, 2000). They might be either first or second order and also lead to a peak in the critical current (Chang et al, 1998a,b;Klironomos and Dorsey, 2003;Park and Huse, 1998;Rosenstein and Knigavko, 1999).…”

Section: Complexity Of the Vortex Matter Physicsmentioning

confidence: 99%

“…One could argue (Brandt, 1995) that real physics is dominated by the small mass 1/κ 2 of the shear mode, acting as a cutoff that prevents IR divergencies, but basic physical properties related to thermal fluctuations near H c2 (T ) seemed to be independent of the cutoff, especially for high T c superconductors. In (Rosenstein, 1999) the IR divergencies were reconsidered and it was found that they all cancel exactly at each order in physical quantities like free energy, magnetization etc. We therefore systematically consider the (renormalized) perturbation theory for free energy up to two loops and then turn to other physical quantities.…”

Section: Supersoft Goldstone (Shear) Modesmentioning

confidence: 99%

“…Up to two loops the calculation (Li and Rosenstein, 2002a,b,c) (extending the one carried in ref. (Rosenstein, 1999) to Umklapp processes) gives:…”

Section: Vortex Lattice Energymentioning

confidence: 99%

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Ginzburg-Landau theory of type II superconductors in magnetic field

2010

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Thermodynamics of type II superconductors in electromagnetic field based on the GinzburgLandau theory is presented. The Abrikosov flux lattice solution is derived using an expansion in a parameter characterizing the "distance" to the superconductor -normal phase transition line. The expansion allows a systematic improvement of the solution. The phase diagram of the vortex matter in magnetic field is determined in detail. In the presence of significant thermal fluctuations on the mesoscopic scale (for example in high Tc materials) the vortex crystal melts into a vortex liquid. A quantitative theory of thermal fluctuations using the lowest Landau level approximation is given. It allows to determine the melting line and discontinuities at melt, as well as important characteristics of the vortex liquid state. In the presence of quenched disorder (pinning) the vortex matter acquires certain "glassy" properties. The irreversibility line and static properties of the vortex glass state are studied using the "replica" method. Most of the analytical methods are introduced and presented in some detail. Various quantitative and qualitative features are compared to experiments in type II superconductors, although the use of a rather universal Ginzburg -Landau theory is not restricted to superconductivity and can be applied with certain adjustments to other physical systems, for example rotating Bose -Einstein condensate.

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Section: Location Of the Melting Linementioning

confidence: 99%

Section: Complexity Of the Vortex Matter Physicsmentioning

confidence: 99%

Section: Supersoft Goldstone (Shear) Modesmentioning

confidence: 99%

“…Up to two loops the calculation (Li and Rosenstein, 2002a,b,c) (extending the one carried in ref. (Rosenstein, 1999) to Umklapp processes) gives:…”

Section: Vortex Lattice Energymentioning

confidence: 99%

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Ginzburg-Landau theory of type II superconductors in magnetic field

2010

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“…24,25 The vanishing of a squash elastic mode gives rise to a topological FLL transition and leads to the new peak effect, while the softening of the shear modes c 66 is relevant to the conventional peak effect in high-T c cuprates. 26 The observation of the dip effect well below the melting line in LuNi 2 B 2 C indicates that the anomalous paramagnetic effects are related to a change in the FLL and the increase in M is also consistent with the FLL change where the Abrikosov geometrical factor β changes.…”

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confidence: 99%

Anomalous paramagnetic effects in the mixed state ofLuNi2B2C

et al. 2005

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Anomalous paramagnetic effects in dc magnetization were observed in the mixed state of LuNi2B2C, unlike any reported previously. It appears as a kink-like feature for H ≥ 30 kOe and becomes more prominent with increasing field. A specific heat anomaly at the corresponding temperature suggests that the magnetization anomaly is due to a true bulk transition. A magnetic flux transition from a square to an hexagonal lattice is consistent with the anomaly.In cuprate (high-T c ) superconductors, high-transition temperatures (T c ) and short coherence lengths (ξ) lead to large thermal fluctuation effects, opening a possibility for melting of the flux line lattice (FLL) at temperatures well below the superconducting transition temperature. A discontinuous step in dc magnetization and a sudden, kink-like drop in resistivity signified the first order nature of the melting transition from the vortex lattice into a liquid. 1,2,3 In conventional type II superconductors, with modest transition temperatures and large coherence lengths, vortex melting is also expected to occur in a very limited part of the phase diagram, 4 but it has yet to be observed experimentally. In the rare-earth nickel borocarbides RNi 2 B 2 C (R = Y, Dy, Ho, Er, Tm, Lu), the coherence lengths (ξ ∼ = 10 2Å ) and superconducting transition temperatures (16.1 K for R = Lu) lie between these extremes, suggesting that the vortex melting will be observable and may provide further information on vortex dynamics. Indeed, Mun et al. 5 reported the observation of vortex melting in YNi 2 B 2 C, based on a sharp, kink-like drop in electrical resistivity.Recently, a magnetic field-driven FLL transition has been observed in the tetragonal borocarbides. 6,7,8,9 The transition from square to hexagonal vortex lattice occurs due to the competition between sources of anisotropy and vortex-vortex interactions. The repulsive nature of the vortex interaction favors the hexagonal Abrikosov lattice, whose vortex spacing is larger than that of a square lattice. The competing anisotropy, which favors a square lattice, can be due to lattice effects (fourfold Fermi surface anisotropy), 10 unconventional superconducting order parameter, 11 or an interplay of the two. 12,13 In combination with non-negligible fluctuation effects, the competition leads to unique vortex dynamics right below the H c2 line in the borocarbides, namely a reentrant vortex lattice transition. 9 Fluctuation effects near the upper critical field line wash out the anisotropy effect, stabilizing the Abrikosov hexagonal lattice. 14,15 Here, we report the first observation of paramagnetic effects in the dc magnetization M of the mixed state of LuNi 2 B 2 C. The kink-like feature in M and the corresponding specific heat feature for H ≥ 30 kOe signify the reentrant FLL transition, which is consistent with the low-field FLL transition line inferred from small angle neutron scattering (SANS). 9 Single crystals of LuNi 2 B 2 C were grown in a Ni 2 B flux as described elsewhere 16 and were post-growth annealed at T = 10...

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On The Influence of a Non-Local Electrodynamics in the Irreversible Magnetization of Non-Magnetic Borocarbides

Silhanek

Civale

Thompson

et al. 2002

New Trends in Superconductivity

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We present an overview of the temperature, field and angular dependence of the irreversible magnetization of non-magnetic borocarbides (Y;Lu)Ni2B2C. We show that nonlocal electrodynamics influences pinning via the unusual behavior of the shear modulus in non-hexagonal lattices. On top of that, we observe that the pinning force density Fp exhibits a rich anisotropic behavior that sharply contrasts with its small mass anisotropy. When H⊥c, Fp is much larger and has a quite different H dependence, indicating that other pinning mechanisms are present.

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Anisotropic Peak Effect due to Structural Phase Transition in the Vortex Lattice

Cited by 32 publications

References 35 publications

Ginzburg-Landau theory of type II superconductors in magnetic field

Ginzburg-Landau theory of type II superconductors in magnetic field

Anomalous paramagnetic effects in the mixed state ofLuNi2B2C

On The Influence of a Non-Local Electrodynamics in the Irreversible Magnetization of Non-Magnetic Borocarbides

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