Ground states and excitations in spin-orbit coupled Mott insulators and superconductors

Nyomtatóbarát változatNyomtatóbarát változat
Doctoral school: 
Fizikai Tudományok Doktori Iskola
Year/Semester: 
2022/2023/1
Supervisor
Name: 
Karlo Penc
Email: 
penc.karlo@wigner.hu
Institute: 
Wigner Research Centre for Physics (WIGNER FK)
Job title: 
Tudományos Tanácsadó
Academic degree: 
MTA doktora
Consulant
Name: 
Bordács Sándor
Email: 
bordacs.sandor@wigner.bme.hu
Institute: 
Department of Physics
Job title: 
Egyetemi docens
Academic degree: 
Ph.D.
Description: 
Mean-field approaches provide an understanding of ordered phases of matter. The excitations above such an ordered state can have nontrivial topological properties, like a finite Chern number and edge states. Furthermore, competing interactions in a quantum spin- and other strongly interacting systems can lead to entangled states that are beyond the reach of the traditional mean-field description — they may form different types of spin liquids with exotic excitations.
In this Ph.D. project, we will search for the ground states and excitations in spin liquids, non-conventional superconductors, interacting Rydberg atoms, artificial spin-ice, and other systems of current interest. This is primarily a theoretical study, requiring the application of analytical and numerical methods. At the same time, we will try to address questions relevant to experiments: for example, how can we excite non-abelian excitations? How do the excitations interact with light?
Requirements: 
The application of a student with good knowledge of mathematical methods like group theory, linear algebra, quantum mechanics, numerical methods, and most importantly, enthusiasm and interest in pursuing a challenging but rewarding problem is encouraged.
Status: 
Finalized/Végleges