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Kim, Hee-Je; Park, S. J.; Safar, H.; Kouvel, J. S.

doi:10.1103/physrevb.56.r5774

Cited by 10 publications

(7 citation statements)

References 8 publications

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“…These results encourage experimental studies of the behavior of the thermodynamic properties near the Boseglass transition, in particular, the transverse Meissner effect [9,20].…”

supporting

confidence: 58%

Bose-Glass Phase in TwinnedYBa2Cu3O7−δ

et al. 1998

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“…These results encourage experimental studies of the behavior of the thermodynamic properties near the Boseglass transition, in particular, the transverse Meissner effect [9,20].…”

supporting

confidence: 58%

Bose-Glass Phase in TwinnedYBa2Cu3O7−δ

et al. 1998

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“…1); see Refs. [22,23,24] for experiments. When this flux-line system is mapped onto a ring of the non-Hermitian system, H ⊥ becomes proportional to the non-Hermitian field g. Below a certain strength of H ⊥ (or g), the flux line is pinned by a columnar defect and forced to run parallel to the defects (the transverse Meissner effect [25]), except for its slight deflection from the pinning center near the top and the bottom of the cylinder [2].…”

Section: Non-hermitian Delocalization: Eigenvalues and Currentmentioning

confidence: 99%

Non-Hermitian delocalization and eigenfunctions

1998

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Recent literature on delocalization in non-Hermitian systems has stressed criteria based on sensitivity of eigenvalues to boundary conditions and the existence of a non-zero current. We emphasize here that delocalization also shows up clearly in eigenfunctions, provided one studies the product of left-and right-eigenfunctions, as required on physical grounds, and not simply the squared modulii of the eigenfunctions themselves. We also discuss the right-and left-eigenfunctions of the ground state in the delocalized regime and suggest that the behavior of these functions, when considered separately, may be viewed as "intermediate" between localized and delocalized.

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“…We consider an additional prediction of the theory, that below T BG ͑ H͒ vortices remain parallel to the columnar defects even when the external magnetic field is rotated off the defect axis. While this is a striking element of the theory, it has so far been untapped as a quantitative probe of the nature of the glass transition [20].…”

Section: (Received 3 December 1999)mentioning

confidence: 99%

“…While this is a striking element of the theory, it has so far been untapped as a quantitative probe of the nature of the glass transition [18].…”

mentioning

confidence: 99%

Vortex Flow and Transverse Flux Screening at the Bose Glass Transition

et al. 2000

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We study the vortex phase diagram in untwinned YBCO crystals with columnar defects. These randomly distributed defects are expected to induce a "Bose glass" phase of localized vortices exhibiting a vanishing resistance and Meissner effect for magnetic fields H Ќ transverse to the columns. We directly observe the transverse Meissner effect using a Hall probe array. As predicted, the Meissner state breaks down at temperatures T s that decrease linearly as H Ќ increases. However, T s lies far below the conventional melting temperature T m determined by a vanishing resistivity, suggesting a regime where vortices are effectively localized even when rotated off the columnar defects.PACS numbers: 74.60. Ge, 74.25.Bt Weak pinning, large anisotropy, and prodigious thermal fluctuations in high temperature superconductors permit magnetic vortices to exist in a liquid phase which flows easily in response to an external current [1]. This technologically undesirable state of finite electrical resistance is quelled only at sufficiently low temperatures when vortex-vortex interactions precipitate a solid phase [2][3][4]. Columnar defects, a form of strong disorder correlated across many CuO 2 planes, serve as an effective strategy to bolster the constraining effects of the interaction potential, localizing the vortices on the disordered array of columns. The resulting "Bose glass" phase [5] exhibits two characteristic signatures: a diverging vortex viscosity leading to a zero resistance state, as well as a diverging tilt modulus resulting in vortex alignment with the columns even as the external magnetic field rotates. A large rotation of the external field, however, will melt the glass at fixed temperature. We monitor both the onset of a resistive response (vortex mobility) and the onset of transverse flux penetration (vortex alignment). In contrast to theory, we find that these two events yield widely different demarcations for the Bose glass phase.Amorphous columnar tracks created by heavy ion bombardment of cuprate superconductors are of nearly optimal size and geometry to pin vortices over their entire length. Thermal excitations, however, permit some segment of a vortex line to wander off its pinning site. Nelson and Vinokur [5] have mapped this statistical mechanics problem onto the quantum mechanical problem of two-dimensional bosons in the presence of point disorder [6]. They find a sharp phase transition between a high-temperature vortex liquid of delocalized and entangled vortex lines and a low temperature Bose glass dominated by the spatial disorder in the columnar defect distribution. The predictions of scaling theory [5,[7][8][9] have been tested [10][11][12][13][14][15][16][17][18][19] by measuring the vortex mobility subjected to a driving current at the approach to the glass transition temperature, T BG . These experiments vary widely on values for the critical exponents and on the angular dependence of T BG . We consider an additional prediction of the theory, that below

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Vortex bending in a tiltedYBa2Cu3O7

Cited by 10 publications

References 8 publications

Bose-Glass Phase in TwinnedYBa2Cu3O7−δ

Bose-Glass Phase in TwinnedYBa2Cu3O7−δ

Non-Hermitian delocalization and eigenfunctions

Vortex Flow and Transverse Flux Screening at the Bose Glass Transition

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