The Berry curvature of the Bogoliubov quasiparticle Bloch states in the unconventional superconductor Sr2RuO4.

J Phys Condens Matter

H H Wills Physics Laboratory, University of Bristol, Tyndall Avenue, BS8 1TL, UK.

Published: July 2014

AI Article Synopsis

  • The study extends the concept of electron band Berry curvatures to superconductors, utilizing the Bogoliubov-de Gennes equation for superconducting states in periodic crystals.
  • It examines how this concept contributes to understanding the optical Kerr effect in superconductors that break time reversal symmetry.
  • Lastly, a new sum rule is established, linking the imaginary part of optical conductivity to Berry curvature, which will be analyzed using the p-wave paired material Sr2RuO4 as a case study.

Article Abstract

We will extend the concept of electron band Berry curvatures to superconducting materials. We show that this can be defined for the Bogoliubov-de Gennes equation describing the superconducting state in a periodic crystal. In addition, the concept is exploited to understand the driving mechanism for the optical Kerr effect in time reversal symmetry breaking superconductors. Finally, we establish a sum rule analogue to the normal state Hall sum rule making quantitative contact between the imaginary part of the optical conductivity and the Berry curvature. The general theory will be applied and tested against the drosophila of the p-wave paired materials Sr2RuO4.

Download full-text PDF

Source
http://dx.doi.org/10.1088/0953-8984/26/27/274205DOI Listing

Publication Analysis

Top Keywords

berry curvature
8
sum rule
8
curvature bogoliubov
4
bogoliubov quasiparticle
4
quasiparticle bloch
4
bloch states
4
states unconventional
4
unconventional superconductor
4
superconductor sr2ruo4
4
sr2ruo4 will
4

Similar Publications

Nonlinear electron transport induced by polarized terahertz radiation is studied in two-dimensional tellurene at room temperature. A direct current, quadratic in the radiation's electric field, is observed. Contributions sensitive to radiation helicity and polarization orientation as well as polarization independent current are found.

View Article and Find Full Text PDF

Non-Hermitian Theory of Valley Excitons in Two-Dimensional Semiconductors.

Phys Rev Lett

December 2024

School of Physics and Electronics, Hunan University, Changsha 410082, China.

Electron-hole exchange interaction in two-dimensional transition metal dichalcogenides is extremely strong due to the dimension reduction, which promises valley-superposed excitonic states with linearly polarized optical emissions. However, strong circular polarization reflecting valley-polarized excitonic states is commonly observed in helicity-resolved optical experiments. Here, we present a non-Hermitian theory of valley excitons by incorporating optical pumping and intrinsic decay, which unveils an anomalous valley-polarized excitonic state with elliptically polarized optical emission.

View Article and Find Full Text PDF

For over a century, the Hall effect, a transverse effect under an out-of-plane magnetic field or magnetization, has been a cornerstone for magnetotransport studies and applications. Modern theoretical formulation based on the Berry curvature has revealed the potential that even an in-plane magnetic field can induce an anomalous Hall effect, but its experimental demonstration has remained difficult due to its potentially small magnitude and strict symmetry requirements. Here, we report observation of the in-plane anomalous Hall effect by measuring low-carrier density films of magnetic Weyl semimetal EuCd_{2}Sb_{2}.

View Article and Find Full Text PDF

Generation of Isolated Flat Bands with Tunable Numbers through Moiré Engineering.

Phys Rev Lett

December 2024

Department of Physics, Northeastern University, Boston, Massachusetts 02115, USA and Quantum Materials and Sensing Institute, Northeastern University, Burlington, Massachusetts 01803, USA.

In contrast to the Dirac-cone materials in which the low-energy spectrum features a pseudospin-1/2 structure, Lieb and Dice lattices both host triply degenerate low-energy excitations. Here, we discuss moiré structures involving twisted bilayers of these lattices, which are shown to exhibit a tunable number of isolated flat bands near the Fermi level due to the bipartite nature of their structures. These flat bands remain isolated from the high-energy bands even in the presence of small higher-order terms and chiral-symmetry-breaking interlayer tunneling.

View Article and Find Full Text PDF

Nonlinear Longitudinal Current of Band-Geometric Origin in Wires of Finite Thickness.

Phys Rev Lett

November 2024

Département de physique, Institut quantique and Regroupement Québécois sur les Matériaux de Pointe, Université de Sherbrooke, Sherbrooke, Québec J1K 2R1, Canada.

The miniaturization of integrated circuits is facing an obstruction due to the escalating electrical resistivity of conventional copper interconnects. The underlying reason for this problem was unveiled by Fuchs and Sondheimer, who showed that thinner wires are more resistive because current- carrying electrons encounter the rough surfaces of the wire more frequently therein. Here, we present a generalization of the Fuchs-Sondheimer theory to Dirac and Weyl materials, which are candidates for next-generation interconnects.

View Article and Find Full Text PDF

Want AI Summaries of new PubMed Abstracts delivered to your In-box?

Enter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!