Time-dependent equation for the magnetic order parameter near the quantum critical point in multiband superconductors with a spin-density wave

Time-dependent equation for the magnetic order parameter near the quantum critical point in multiband superconductors with a spin-density wave
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自旋密度波多带超导体量子临界点附近磁序参数的时变方程

DOI:
10.1103/physrevb.88.224513
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发表时间:
2013
期刊:
影响因子:
3.7
通讯作者:
Konstantin B. Efetov
Konstantin B. Efetov
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Andreas Moor;Anatoly F. Volkov;Konstantin B. Efetov

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利用一个简单的铁基磷属元素双能带模型和广义Eilenberger方程,我们提出了一个含时方程的微观推导的自旋密度波的振幅附近的量子临界点,它变成零。这个方程描述了磁的动力学(),以及超导序参量()。它在低温下是有效的,并且在两个序参量共存的区域中是小的。这个区域的边界在嵌套参数的空间中找到,嵌套参数描述了电子和空穴袋在能量标度上的相对位置,并解释了电子袋的椭圆率。由于能隙的存在,准粒子的数量很少,因此准粒子在弛豫中不起作用。在这种情况下,人们可以导出与时间有关的方程,这与传统超导体的情况相反,传统超导体的与时间有关的金兹伯格-朗道方程几乎只在某些特殊情况下(高浓度的顺磁杂质)才能导出[L. P.戈尔科夫和G. M.埃利阿什贝格苏维埃社会主义共和国JETP 27,328(1968)]。在稳态情况下,导出的方程在任意温度下都是有效的。我们找到了一个解决方案的固定方程描述的磁畴壁的磁结构。在畴壁的中心,超导序参量有一个极大值,这意味着超导性的局部增强。利用所导出的含时方程,我们还研究了均匀公度自旋密度波(SDW)的稳定性,并得到了发生一级跃迁到非均匀SDW态或发生一级跃迁到非均匀SDW态时的值。
Using a simple two-band model for Fe-based pnictides and the generalized Eilenberger equation, we present a microscopic derivation of a time-dependent equation for the amplitude of the spin-density wave near the quantum critical point where it turns to zero. This equation describes the dynamics of the magnetic (), as well as the superconducting order parameter (). It is valid at low temperaturesand small() in a region of coexistence of both order parameters,and. The boundary of this region is found in the space of the nesting parameter, wheredescribes the relative position of the electron and the hole pockets on the energy scale andaccounts for the ellipticity of the electron pocket. At lowthe number of quasiparticles is small due to the presence of the energy gap, and therefore the quasiparticles do not play a role in the relaxation of. This circumstance allows one to derive the time-dependent equation forin contrast to the case of conventional superconductors for which the time-dependent Ginzburg-Landau equation can be derived nearonly in some special cases (high concentration of paramagnetic impurities) [L. P. Gor'kov and G. M. Eliashberg, Sov. Phys. JETP 27, 328 (1968)]. In the stationary case the derived equation is valid at arbitrary temperatures. We find a solution of the stationary equation which describes a domain wall in the magnetic structure. In the center of the domain wall the superconducting order parameter has a maximum, which means a local enhancement of superconductivity. Using the derived time-dependent equation for, we investgate also the stability of a uniform commensurate spin-density wave (SDW) and obtain the values ofat which the first-order transition into the state withtakes place or the transition to the state with an inhomogeneous SDW occurs.
二能隙超导体中的带间相位模式和非平衡孤子结构。
DOI: --
发表时间: 2002
影响因子: 8.6
作者:
A. Gurevich;V. Vinokur
通讯作者: V. Vinokur
DOI: 10.1103/physrevb.85.140512
发表时间: 2012-04-23
期刊: PHYSICAL REVIEW B
影响因子: 3.7
作者:
Fernandes, R. M.;Vavilov, M. G.;Chubukov, A. V.
通讯作者: Chubukov, A. V.
DOI: --
发表时间: 2012
期刊:
影响因子: --
作者:
A. Moor;A. Volkov;K. Efetov
通讯作者: K. Efetov
DOI: 10.1103/physrevlett.90.177002
发表时间: 2003-05-02
影响因子: 8.6
作者:
Koshelev, AE;Golubov, AA
通讯作者: Golubov, AA
反铁磁体和铁磁体组成的结中的类约瑟夫森自旋电流
DOI: 10.1103/physrevb.85.014523
发表时间: 2011
期刊: Physical Review B
影响因子: 3.7
作者:
A. Moor;A. Volkov;K. Efetov
通讯作者: K. Efetov