• 제목/요약/키워드: Ginzburg-Landau parameter

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ASYMPTOTICS FOR SOLUTIONS OF THE GINZBURG-LANDAU EQUATIONS WITH DIRICHLET BOUNDARY CONDITIONS

  • Han, Jong-Min
    • 대한수학회지
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    • 제35권4호
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    • pp.1019-1043
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    • 1998
  • In this paper we study some asymptotics for solutions of the Ginzburg-Landau equations with Dirichlet boundary conditions. We consider the solutions ( $u_{\in}$, $A_{\in}$) which minimize the Ginzburg-Landau energy functional $E_{\in}$(u, A). We show that the solutions ( $u_{\in$}$ , $A_{\in}$) converge to some ( $u_{*}$, $A_{*}$) in various norms as the coupling parameter $\in$longrightarrow0.ow0.

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REMARKS ON THE MINIMIZER OF A p-GINZBURG-LANDAU TYPE

  • LEI YUTIAN
    • 대한수학회보
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    • 제42권3호
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    • pp.509-520
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    • 2005
  • The author studies the asymptotic behavior of the radial minimizer for a variant of the p-Ginzburg-Landau type functional, in the case of p larger than the dimension, when the parameter tends to zero. The C$^{1, convergence of the radial minimizer is proved. And the estimation of the convergent rate of the minimizer is given.

HÖLDER CONVERGENCE OF THE WEAK SOLUTION TO AN EVOLUTION EQUATION OF p-GINZBURG-LANDAU TYPE

  • Lei, Yutian
    • 대한수학회지
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    • 제44권3호
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    • pp.585-603
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    • 2007
  • The author studies the local $H\ddot{o}lder$ convergence of the solution to an evolution equation of p-Ginzburg-Landau type, to the heat flow of the p-harmonic map, when the parameter tends to zero. The convergence is derived by establishing a uniform gradient estimation for the solution of the regularized equation.

고온 초전도체 $Y_{1}Ba_{2}Cu_{3-x}Sn_{x}O_{7-y}$의 자기적 특성 연구 (Magnetic Properties of the $Y_{1}Ba_{2}Cu_{3-x}Sn_{x}O_{7-y}$ $High-T_{C}$ Superconductor)

  • 이성규;이주일;김문석;유성초;임우영;백종성
    • 한국자기학회지
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    • 제1권2호
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    • pp.15-21
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    • 1991
  • 고온초전도체 $Y_{1}Ba_{2}Cu_{3-x}Sn_{x}O_{7-y}$에서 Cu 대신에 Sn 을 치환하면서 이들의 조성변화에 따른 자기적 특성을 vibrating sample magnetometer(VSM)와 torque magnetometer를 이용 하여 측정하였다. Cu 대신에 Fe, Ni 등의 원소를 치환했을 때와는 달리 x=0.36 까지 되어도 초전도 전이온도가 90 K 이상을 나타냄을 알 수 있었다. 온도와 외부자기장에 따른 자기 모우먼트 측정을 통하여 각 조성에 따른 lower critical field ($H_{c1}(T)$)과 upper critical field ($H_{c2}(T)$)를 측정하였다. 이 결과를 이용해 $H_{c1}(0)$$H_{c2}(0)$를 계산했으며, 간섭길이 (${\varepsilon}_{0}$), 침투깊이 (${\lambda}_{0}$), Ginzburg-Landau 상수 k등을 얻을 수 있었으며, 시료의 flux pinning 효과도 확인할 수 있었다.

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The competition between superconductivity and antiferromagnetism in Y$_{1-x}Tb_xNi_2B_2C$ single crystals

  • Kim, H.B.;Doh, Hyeon-Jin;Cho, B.K.;Lee, Sung-Ik
    • 한국초전도학회:학술대회논문집
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    • 한국초전도학회 1999년도 High Temperature Superconductivity Vol.IX
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    • pp.206-209
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    • 1999
  • Magnetic and superconducting properties in a series of intermetallic compounds Y$_{1-x}Tb_xNi_2B_2C$ were investigated by measuring the temperature dependent magnetization, M (T), and resitivity, ${\rho}$ (T). As Tb concentration, x, is increased, the superconducting transition temperature, T$_c$, decreases and eventually disappears in the vicinity of x = 0.5 while Neel temperature, T$_N$, appears abruptly near x = 0.4 and increases linearly. Of particular interest is the collision of superconductivity and antiferromagnetism around x = 0.4. The linear decrease of T$_c$ for dilute Tb concentration seems to follow the Abrikosov-Gor'kov behavior, while the decay of T$_c$ below T$_c$ is expected to originate from the effective magnetic field on the conduction electrons. The Ginzburg-Landau theory was phenomenologically constructed to explain this competition of superconducting order parameter and antiferromagnetic order parameter with the multi-band model.

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Upper critical field and superconducting anisotropy of BaFe2-xRuxAs2 (x=0.48 and 0.75) single crystals

  • Jo, Youn Jung;Eom, Man Jin;Kim, Jun Sung;Kang, W.
    • 한국초전도ㆍ저온공학회논문지
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    • 제16권4호
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    • pp.31-35
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    • 2014
  • The upper critical field ($H_{c2}$) was determined by applying a magnetic field along the ab plane and c axis for two single crystals of $BaFe_{2-x}Ru_xAs_2$ (x=0.48 and 0.75). The anisotropy of the $H_{c2}(0)$, ${\gamma}(0)=H_{c2}{^{ab}}(0)/H_{c2}{^c}(0)$, was ~1.6 for x=0.48 and ~2.3 for x=0.75. The angle-dependent resistance measured below $T_c$ allowed perfect scaling features based on anisotropic Ginzburg-Landau theory, leading to consistent anisotropy values. Because only one fitting parameter ${\gamma}$ is used in the scaling for each temperature, the validity of the ${\gamma}$ value was compared with that determined from ${\gamma}=H_{c2}{^{ab}}/H_{c2}{^c}$. The ${\gamma}$ obtained at a temperature close to $T_c$ was 3.0 and decreased to 2.0 at low temperatures. Comparing to the anisotropy determined for electron- or hole-doped $BaFe_2As_2$ using the same method, the present results point to consistent anisotropy in Ru-doped $BaFe_2As_2$ with other electron- or hole-doped $BaFe_2As_2$.