One-dimensional scattering of two-dimensional fermions near quantum criticality
One-dimensional scattering of two-dimensional fermions near quantum criticality
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接近量子临界点的二维费米子的一维散射
DOI：
10.1103/physrevb.103.214519
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发表时间：
2021
期刊：
影响因子：
--
通讯作者：
Dimitri Pimenov, Alex Kamenev
中科院分区：
文献类型：
--
作者：
Dimitri Pimenov, Alex Kamenev
前向散射和后向散射在二维相互作用费米子的物理学中起着特殊的作用。在费米液体中，两者都会在相互作用中产生非解析形式的二阶费米子散射率。在这里，我们认为在高阶的后向散射贡献中出现更高的功率。我们表明这些术语来自“平面”过程，实际上是一维的。当只有平面过程存在时，将费米液体扩展到极限提供子口味可以明确地证明这一点。我们对二维费米液体在向列跃迁附近的前导对数求和，得到了相互作用中各阶散射率的表达式。对于排斥性相互作用，产生的速率被对数抑制，并且结果有效到。对于吸引相互作用，基态是带间隙的波超导体。我们表明，在这种情况下，散射率增加或减少。在，散射率的行为是相当非常规的，因为许多配对通道在向列临界点附近竞争，波只以微弱的优势获胜。我们考虑了超导性，得到了更小的散射率。
Forward scattering and backscattering play an exceptional role in the physics of two-dimensional interacting fermions. In a Fermi liquid, both give rise to a nonanalyticform of the fermionic scattering rate at second order in the interaction. Here we argue that higher powers ofappear in the backscattering contribution at higher orders. We show that these terms come from “planar” processes, which are effectively one-dimensional. This is explicitly demonstrated by extending a Fermi liquid to the limit offermionic flavors, when only planar processes survive. We sum the leading logarithms for the case of a two-dimensional Fermi liquid near a nematic transition, and we obtain an expression for the scattering rate atto all orders in the interaction. For a repulsive interaction, the resulting rate is logarithmically suppressed, and the result is valid down to. For an attractive interaction, the ground state is an-wave superconductor with a gap. We show that in this case the scattering rate increases asis reduced toward. At, the behavior of the scattering rate is rather unconventional as many pairing channels compete near a nematic critical point, and the-wave wins only by a narrow margin. We take superconductivity into consideration and obtain the scattering rate also at smaller.
影响因子：
56.9
作者：
V. Gates;.. M. L. Ludwig-M.-L.-Ludwig-2273875465;J. A. Hartsuck;T. A. Steitz;H. Muirhead;J. C. Coppola;G. N. Reeke
通讯作者：
V. Gates;.. M. L. Ludwig-M.-L.-Ludwig-2273875465;J. A. Hartsuck;T. A. Steitz;H. Muirhead;J. C. Coppola;G. N. Reeke
超导体中的涨落现象
DOI：
--
发表时间：
2001
期刊：
影响因子：
--
作者：
A. Larkin;A. Varlamov
通讯作者：
A. Varlamov