Bogoliubov-Fermi surface with inversion symmetry and electron-electron interactions: Relativistic analogies and lattice theory
Bogoliubov-Fermi surface with inversion symmetry and electron-electron interactions: Relativistic analogies and lattice theory
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具有反演对称性和电子-电子相互作用的 Bogoliubov-Fermi 表面：相对论类比和晶格理论
DOI：
10.1103/physrevb.103.144517
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发表时间：
2021
影响因子：
3.7
通讯作者：
J. M. Link
中科院分区：
文献类型：
--
作者：
I. F. Herbut;J. M. Link
我们证明了多带超导体中的一般低能Bogoliubov-de Gennes哈密顿量是一个真实的四维表示的生成子。在特殊表示中，这样的有效哈密顿量是一个纯虚矩阵，并且它与可以在动量空间中定义的虚拟电磁场的反对称张量成比例。低能准粒子态的量子时间演化与存在洛伦兹力的带电粒子的经典相对论运动密切相关，洛伦兹力可以从这样的电磁场配置中导出。波戈留博夫-费米面出现的条件可以理解为假想电场和磁场的正交性，这将允许零洛伦兹力。相应的零能本征态被确定为洛伦兹力方程的物理类时解和非物理类空解。我们研究了在电子-电子相互作用的存在下，反演对称的Bogoliubov-Fermi表面的隐现不稳定性，通过制定一个具体的相互作用模型的Lieb晶格，其特点是requisitekinetic energy项连同最近邻两体排斥。后者有利于动力学破缺的反演对称性。我们的晶格模型中的反转对称性确实在零温度下以无穷小的排斥力自发地被打破，原始的Bogoliubov-费米表面变形并减小尺寸。一般特点，这种破坏性的现象进行了讨论，并与其他作品在文献中的比较。
We show that the general low-energy Bogoliubov–de Gennes Hamiltonian in a multiband superconductor with broken time-reversal and preserved inversion symmetry is a generator of a real four-dimensional representation of. In the particular representation such an effective Hamiltonian is a purely imaginary matrix, and it is proportional to the antisymmetric tensor of a fictitious electromagnetic field which one can define in the momentum space. The quantum time evolution of the low-energy quasiparticle state becomes this way closely related to the classical relativistic motion of a charged particle in the presence of the Lorentz force that would be derived from such an electromagnetic field configuration. The condition for the emergence of a Bogoliubov-Fermi surface can then be understood as orthogonality of the fictitious electric and magnetic fields, which would allow zero Lorentz force. The corresponding zero-energy eigenstates are identified as the physical timelike and the unphysical spacelike solutions of the Lorentz force equation. We study the looming instability of the inversion-symmetric Bogoliubov-Fermi surface in the presence of electron-electron interaction by formulating a concrete interacting model on the Lieb lattice that features the requisitekinetic energy term together with nearest-neighbor two-body repulsion. The latter is shown to favor dynamical breaking of the inversion symmetry. The inversion symmetry in our lattice model indeed becomes spontaneously broken at zero temperature at infinitesimal repulsion, with the original Bogoliubov-Fermi surface deformed and reduced in size. General features of this symmetry-breaking phenomenon are discussed and a comparison with other works in the literature is presented.
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狄拉克系统拓扑缺陷的同位旋
DOI：
--
发表时间：
2011
期刊：
影响因子：
--
作者：
I. Herbut
通讯作者：
I. Herbut
影响因子：
8.6
作者：
I. Boettcher;I. Herbut
通讯作者：
I. Boettcher;I. Herbut
j=32 Bogoliubov 费米面的不稳定性
影响因子：
3.7
作者：
H. Oh;E. Moon
通讯作者：
E. Moon
影响因子：
8.6
作者：
Agterberg, D. F.;Brydon, P. M. R.;Timm, C.
通讯作者：
Timm, C.
影响因子：
8.6
作者：
Link, Julia M.;Herbut, Igor F.
通讯作者：
Herbut, Igor F.