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Ryusuke Ikeda

Publications and source records attributed to Ryusuke Ikeda.

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Effects of Pauli paramagnetism on superconducting vortex phase diagram in strong fields

The Ginzburg-Landau (GL) functional and the resultant phase diagram in strong fields where the Pauli paramagnetic depairing is not negligible are examined in details by assuming the weak coupling BCS model with a $d_{x^2-y^2}$-like pairing. In contrast to previous works on the same subject for spin-singlet pairings in which the orbital depairing effect was not treated consistently with the paramagnetic depairing, the temperature at which the mean field (MF) transition at $H_{c2}$ changes into a discontinuous one lies much above another temperature at which the $H_{c2}(T)$ and a second order transition curve $H_{\rm FFLO}(T)$ between an FFLO-like and the ordinary vortex solids branch, and $H_{\rm FFLO}(T)$ decreases upon cooling. Based on these MF results, details of a real phase diagram near $H_{c2}(T)$-line are examined in terms of Monte Carlo simulation, and it is found that the MF discontinuous transition is changed due to the fluctuation into a crossover which is nearly discontinuous in systems with weak enough fluctuation. These results induced by the paramagnetic depairing are consistent both with recent observations of the MF discontinuous behavior and $H_{\rm {FFLO}}(T)$ in the heavy fermion superconductor CeCoIn$_5$ with weak fluctuation and with their absence in organic materials with strong fluctuation.

cond-mat.supr-con↗

Quantum Resistive Behaviors in the Vortex Liquid Regimes at Finite Temperatures

Motivated by a {\it mean field-like} resistive behavior in magnetic fields commonly seen in various superconducting (SC) cuprates and organics with strong fluctuation, {\it quantum} SC fluctuation effects on resistive behaviors are reexamined by putting emphasis on their roles in the so-called {\it thermal} vortex liquid regime. By incorporating the quantum fluctuation and a vortex pinning effect in the GL fluctuation theory, it is found that the resistivity curve shows not a fan-shaped broadening but a sharp drop at a 3d vortex-glass transition point far below an apparent upper critical field H_{c2}^*(T) as a result of a quantm fluctuation enhanced by an adequately small condensation energy or by a strong field. Fittings to data of cuprate and organic superconductors are performed by including effects of SC pseudogap region. It is argued on the cuprate materials that, irrespective of the presence of fluctuations of competing non-SC orders, the in-plane coherence length of hole-doped cuprates decreases on approaching the underdoped limit and that the condensation energy density to be measured from the heat capacity data is maximum near the optimal doping. The case of disordered quasi 2d s-wave films showing the field-tuned superconductor-insulator transition (FSIT) behavior is also studied for comparison, and an agreement with available data is found.

cond-mat.supr-con↗

Absence of Quantum Metallic Behavior in Disordered Granular Superconductors

We examine the idea, postulated by Phillips et al., that a finite resistivity in $T \to 0$ limit in disordered granular superconducting (SC) films is explained as a consequence of the absence of phase stiffness in a phase glass (PG) peculiar to granular systems. It is found that a coupling between the nonzero PG order and the ordinary SC fluctuation makes the conductivity divergent. However, an actual drop of resistivity is argued to occur due to another SC glass ordering, induced by the precursory PG fluctuation, corresponding to the vortex-glass transition in a nonzero magnetic field.

cond-mat.supr-con↗

Fluctuation Effects in Underdoped Cuprate Superconductors under Magnetic Field

Fluctuation effects in underdoped cuprates under high fields are examined by trying to fit theoretical results to resistivity and Nernst data in vortex states. The superconducting (SC) fluctuation in underdoped cuprates includes not only the ordinary thermal contribution but also a large amount of quantum dynamical contributions. Together with this, the presence of a SC pseudogap region T_0-T_{c0} increasing with underdoping is found to be the origin of the Nernst coefficient becoming anomalously smaller and the in-plane coherence length {\it apparently} increasing with underdoping.

cond-mat.supr-con↗

Josephson Vortex States in Intermediate Fields

Motivated by recent resistance data in high $T_c$ superconductors in fields {\it parallel} to the CuO layers, we address two issues on the Josephson-vortex phase diagram, the appearances of structural transitions on the observed first order transition (FOT) curve in intermediate fields and of a lower critical point of the FOT line. It is found that some rotated pinned solids are more stable than the ordinary rhombic pinned solids with vacant interlayer spacings and that, due to the vertical portion in higher fields of the FOT line, the FOT tends to be destroyed by creating a lower critical point.

cond-mat.supr-con↗

Microscopic Study of Quantum Vortex-Glass Transition Field in Two-Dimensional Superconductors

The position of a field-tuned superconductor-insulator quantum transition occuring in disordered thin films is examined within the mean field approximation. Our calculation shows that the microscopic disorder-induced reduction of the quantum transition point found experimentally cannot be explained if the interplay between the disorder and an electron-electron repulsive interaction is ignored. This work is presented as a microscopic basis of an explanation (cond-mat/0105122) of resistive phenomena near the transition field.

cond-mat.supr-con↗

Theoretical Description of Resistive Behavior near a Quantum Vortex-Glass Transition

Resistive behaviors at nonzero temperatures (T > 0) reflecting a quantum vortex-glass (VG) transition (the so-called field-tuned superconductor-insulator transition at T=0) are studied based on a quantum Ginzburg-Landau (GL) action for a s-wave pairing case containing microscopic details. The ordinary dissipative dynamics of the pair-field is assumed on the basis of a consistency between the fluctuation conductance terms excluded from GL approach and an observed negative magnetoresistance. It is shown that the VG contribution, G_{vg}(B=B_{vg}, T \to 0),to 2D fluctuation conductance at the VG transition field B_{vg} depends on the strength of a repulsive-interaction between electrons and takes a universal value only in the ordinary dirty limit neglecting the electron-repulsion. Available resistivity data near B_{vg} are discussed based on our results, and extensions to the cases of a d-wave pairing and of 3D systems are briefly commented on.

cond-mat.supr-con↗

Fluctuation Conductivity in Unconventional Superconductors near Critical Disorder

The fluctuation conductivity $σ_{\rm s}$ in bulk superconductors with non s-wave pairing and with nonmagnetic disorder of strength $D$ is studied at low $T$ and within the Gaussian approximation. It is shown by assuming a quasi two-dimensional (2D) electronic state that, only if the gap function $d_μ({\p})$ is, as in a 2D p-wave pairing state, linear in the in-plane (relative) momentum ${\p}_\perp$, the in-plane fluctuation conductivity on the line $D=D_c$ is weakly divergent in low $T$ limit. The present result may be useful in clarifying the true gap function of spin-triplet ${\rm Sr_2RuO_4}$ through resistivity measurements.

cond-mat.supr-con↗

Ginzburg-Landau Theory of Vortex Phase Diagram in Layered Type II Superconductor

Recent theoretical understanding of the vortex phase diagram in real layered type II superconductors is briefly described in both cases with fields perpendicular (B \parallel c) and parallel (B \perp c) to the superconducting layers. The description is based on a high field approximation of the Lawrence-Doniach model and on a vortex-glass ordering in each case. It is argued that, generically, the familiar thermal first order transition at B_m(T) occurs between the vortex liquid region and the so-called vortex slush region, and that, in systems with stronger fluctuation, most of the thermal first order line is covered by the first order melting of the Bragg-glass phase. Recent observations in YBCO in B \parallel c of the vortex slush region and of the lower critical point of B_m(T) are understood in this way. Based on the same scenario, recent resistivity data in YBCO and BSCCO, suggestive of the phase diagram in B \perp c, are explained.

cond-mat.supr-con↗

Josephson-Vortex-Glass Transition in Strong Fields

A vortex-glass transition due to point disorder in layered superconductors is studied for the case with an applied field {\it parallel} to the layers. Our calculation of tilt responses indicates that, irrespective of the magnitude of the field, the resulting glass phase, Josephson-vortex-glass (JG), should have a transverse Meissner effect, as in a planar splayed glass phase, only for a tilt perpendicular to the layers. Further, focusing on the high field (and/or high anisotropy) region $B \sqrtΓ > ϕ_0/d^2$, where $Γ$ is the mass anisotropy in the Lawrence-Doniach model, the JG transition line $T_{JG}(B)$ is shown to have a similar form to a $B$-$T$ line following from the {\it disorder-free} Lindemann criterion and to decrease with increasing $B \sqrtΓ$, in marked contrast to the disorder-free melting line {\it insensitive to} $B \sqrtΓ$ in such the high field region. This $T_{JG}(B)$ line seems to have been recently observed in a.c. susceptibility and in-plane resistivity measurements in BSCCO and qualitatively explains a field dependence at lower temperatures of previous BSCCO resistivity data showing the so-called in-plane Lorentz force-free behavior.

cond-mat.supr-con↗

Hydrodynamics and Nonlocal Conductivities in Vortex States of Type II Superconductors

A hydrodynamical description for vortex states in type II superconductors is presented based on the time-dependent Ginzburg-Landau equation (TDGL). In contrast to the familiar extension of a single vortex dynamics based on the force balance, our description is consistent with the known hydrodynamics of a rotating neutral superfluid and correctly includes informations on the Goldstone mode. Further it enables one to examine nonlocal conductivities perpendicular to the magnetic field in terms of Kubo formula. The nonlocal conductivities deviate from the usual vortex flow expressions typically when the nonlocality parallel to the field becomes weaker than the perpendicular one measuring a degree of positional correlations, and, for instance, the superconducting contribution of dc Hall conductivity nonlocal only in directions perpendicular to the field becomes vanishingly small in the situations with large shear viscosity, leading to an experimentally measurable relation $ρ_{xy} \sim {ρ_{xx}^2}$ among the total resistivity components. Other situations are also discussed on the basis of the resulting expressions.

cond-mat↗

Quantum Resistive Transition in Type II Superconductors under Magnetic Field

It is shown that, within a Ginzburg-Landau (GL) formalism, the superconducting fluctuation is insulating at zero temperature even if the fluctuation dynamics is metallic (dissipative). Based on this fact, the low temperature behavior of the $H_{c2}$-line and the resistivity curves near a zero temperature transition are discussed. In particular, it is pointed out that the neglect of quantum fluctuations in data analysis of the dc resistivity may lead to an under-estimation of the $H_{c2}$ values near zero temperature.

supr-con↗

Hydrodynamics and Nonlocal Conductivities in Vortex States

A hydrodynamical description for vortex states in type II superconductors with no pinning is presented based on the time-dependent GL equation, and the nonlocal conductivities are examined in terms of Kubo formula. Typically, the nonlocal conductivities deviate from the usual vortex flow expressions as the nonlocality parallel to the field becomes weaker than that perpendicular to the field associated with the freezing to the vortex lattice, and, for instance, the dc Hall conductivity nonlocal only in directions perpendicular to the field becomes zero in the vortex lattice due to its infinite shear viscosity. Various situations are discussed on the basis of the resulting expressions.

cond-mat↗