Strongly correlated electron systems: Quantum criticality, unconventional superconductivity, and topology

Date
2022-04-22
Journal Title
Journal ISSN
Volume Title
Publisher
Description
Abstract

In many-electron systems, strong correlations lead to a rich variety of quantum phases and exotic phenomena. In this thesis, we investigate several such effects, including quantum criticality, unconventional superconductivity, and topology. Three general directions of investigation have been pursued. The first direction focuses on the Kondo-destruction quantum critical point of heavy-fermion metals, a prototype class of systems with strong correlations. We demonstrate non-trivial Kondo entanglement and dynamical scaling in the spin susceptibility. In addition, we show that robust superconductivity develops out of the quantum critical normal state that features a large-to-small Fermi-surface transformation. The second direction of research explores the interplay between electron correlations and topology. We find that a charge-spin intertwined phase is stabilized by the cooperation of topology and correlations. Furthermore, we analyze topological phases in the non-Fermi liquid context. Via interacting Green’s function, we determine the constraint of space-group symmetry on correlated topology and identify a gapless topological state without free-electron counterpart. Finally, we investigate the correlation effect in different multiorbital systems, including iron-based superconductors, UTe2, and moir´e graphene.

Description
Degree
Doctor of Philosophy
Type
Thesis
Keywords
Strongly correlated electron systems, quantum criticality, topology, superconductivity, multi-orbital systems
Citation

Hu, Haoyu. "Strongly correlated electron systems: Quantum criticality, unconventional superconductivity, and topology." (2022) Diss., Rice University. https://hdl.handle.net/1911/113385.

Has part(s)
Forms part of
Published Version
Rights
Copyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.
Link to license
Citable link to this page