Effects of Point Defects on the Phase Diagram of Vortex States in High-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>T</mml:mi></mml:mrow><mml:mrow><mml:mi>c</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>Superconductors in the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="italic">B</mml:mi><mml:mi mathvariant="italic" /><mml:mi mathvariant="italic">‖</mml:mi><mml:mi mathvariant="italic" /

Nonomura, Yoshihiko; Hu, Xiao

doi:10.1103/physrevlett.86.5140

Cited by 78 publications

(82 citation statements)

References 49 publications

(50 reference statements)

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“…However, no arguments appear to rule out alternative locations for this line of glass transitions such as the one proposed in recent simulation work [30] or more complex topologies, such as a critical end-point for the MG-DL transition line.…”

Section: Domain Sizes In the Mg Phasementioning

confidence: 99%

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Phase behavior of type-II superconductors with quenched point pinning disorder: A phenomenological proposal

Menon

2002

Phys. Rev. B

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A general phenomenology for phase behaviour in the mixed phase of type-II superconductors with weak point pinning disorder is outlined. We propose that the "Bragg glass" phase generically transforms via two separate thermodynamic phase transitions into a disordered liquid on increasing the temperature. The first transition is into a glassy phase, topologically disordered at the largest length scales; current evidence suggests that it lacks the longranged phase correlations expected of a "vortex glass". This phase has a significant degree of short-ranged translational order, unlike the disordered liquid, but no quasi-long range order, in contrast to the Bragg glass. This glassy phase, which we call a "multi-domain glass", is confined to a narrow sliver at intermediate fields, but broadens out both for much larger and much smaller field values. The multi-domain glass may be a "hexatic glass"; alternatively, its glassy properties may originate in the replica symmetry breaking envisaged in recent theories of the structural glass transition. Estimates for translational correlation lengths in the multi-domain glass indicate that * Email:menon@imsc.ernet.in 1 they can be far larger than the interline spacing for weak disorder, suggesting a plausible mechanism by which signals of a two-step transition can be obscured. Calculations of the Bragg glass-multi-domain glass and the multidomain glass-disordered liquid phase boundaries are presented and compared to experimental data. We argue that these proposals provide a unified picture of the available experimental data on both high-T c and low-T c materials, simulations and current theoretical understanding.

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Section: Domain Sizes In the Mg Phasementioning

confidence: 99%

“…Josephson plasma resonance experiments and magneto-optic studies in BSCCO [28,29] indicate that the underlying field-driven BrG-VG transition may actually be a discontinuous one [30].…”

Section: Much Theoretical Attention Hasmentioning

confidence: 99%

Phase behavior of type-II superconductors with quenched point pinning disorder: A phenomenological proposal

Menon

2002

Phys. Rev. B

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“…Numerical simulations in particle-like models with random pinning have found a transition from an ordered lattice to a disordered lattice [11,12] when increasing particle density (i.e., the magnetic field). Recently, Monte Carlo simulations in the frustrated 3D XY model with disorder have stablished that the BG-VG transition is of first-order type [13,14].Several of the experimental evidences of the BG-VG transition are directly or indirectly related to transport properties. For example, the most common determination of the BG-VG line is through the onset of a "second magnetization peak" [8,9], which is attributed to an steep increase of the in-plane critical currents.…”

mentioning

confidence: 99%

“…Therefore, it is important to understand how the the non-linear current-voltage (IV) curves and their critical currents change across a disorder driven first-order transition. We present here numerical calculations of both the in-plane and the c-axis IV curves across the disorder driven BG-VG transition in the κ = ∞ frustrated XY model used in [13,14] (which is the only model where the first-order nature of the transition has been clearly determined so far). We find that the c-axis critical current has a discontinuous jump at the BG-VG transition, which could be tested experimentally.…”

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Critical Currents at the Bragg Glass to Vortex Glass Transition

Hernandez

Domı́nguez

2004

Phys. Rev. Lett.

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We present simulations of the transport properties of superconductors at the transition from the Bragg glass (BG) to the vortex glass (VG) phase. We study the frustrated anisotropic 3D XY model with point disorder, which has been shown to have a first order transition as a function of the intensity of disorder. We add an external current to the model and we obtain current-voltage curves as a function of disorder at a low temperature. We find that the in-plane critical current has a steep increase at the BG-VG transition, while the c-axis critical current has a discontinous jump down, this later result in agreement with the first-order character of the transition. The study of the vortex phase diagram of anisotropic superconductors with point disorder has been of interest since the discovery of high T c superconductivity. It is now clear that at low temperatures and low magnetic fields there is a "Bragg glass" phase (BG) with an elastically distorted vortex lattice [1]. This vortex lattice undergoes a first order melting transition to a vortex liquid (VL) when increasing the temperature T . At higher magnetic fields and low T there is a disordered vortex state, the "vortex glass" (VG) [2,3,4,5]. A disorder driven transition from the BG to the VG has been proposed [1] to occur when increasing the magnetic field H or the disorder. Experimental observations with increasing H at low T , that have been attributed to the BG-VG transition, are: the destruction of the Bragg peaks in neutron scattering [6], a dip in the differential resistance [7], the onset of the "second magnetization peak" [8,9], or a jump in the Josephson plasma resonance [10]. Numerical simulations in particle-like models with random pinning have found a transition from an ordered lattice to a disordered lattice [11,12] when increasing particle density (i.e., the magnetic field). Recently, Monte Carlo simulations in the frustrated 3D XY model with disorder have stablished that the BG-VG transition is of first-order type [13,14].Several of the experimental evidences of the BG-VG transition are directly or indirectly related to transport properties. For example, the most common determination of the BG-VG line is through the onset of a "second magnetization peak" [8,9], which is attributed to an steep increase of the in-plane critical currents. From the point of view of transport, the BG has zero linear resistivity (ρ lin = 0) [1,4]. The VG phase was originally proposed to have zero resistivity [2]. However, studies of the XY gauge glass model with finite screening (κ < ∞) have found that VG is unstable in d = 3 [3,4], and the disordered phase is a frozen vortex liquid that has a very small finite resistivity. Only for the κ → ∞ disordered XY and gauge glass models the VG phase is stable in d = 3 at low T , in which case ρ lin = 0 [5]. Therefore, it is important to understand how the the non-linear current-voltage (IV) curves and their critical currents change across a disorder driven first-order transition. We present here numerical calculations of bot...

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