Thesis supervisor: Karlo Penc
belső konzulens: Sándor Bordács
Location of studies (in Hungarian): Research Institute for Solid State Physics and Optics Abbreviation of location of studies: BME
Description of the research topic:
The ordered phases of magnetic materials are usually well understood within the framework of the mean-field approaches. However, competing interactions in quantum spin system can lead to entangled states which are beyond the traditional mean-field description. In such systems the order is often lost — they form the wide class of spin liquids. In other cases, the excitations above a trivial state have nontrivial topological properties, like a finite Chern number and edge states.
In this PhD project we will search for the ground states and excitations in spin liquids and other entangled systems. What type of states can we describe with low dimensional tensor networks, how can we extend the AKLT type wave-functions to higher dimensional SU(2) spin models of localized electrons and SU(N) models of ultracold atoms. Can we excite non-abelian excitations? Can we contract magnetic systems where the second Chern number plays a role? How can we find experimental probes which could detect edge states?
This is a theoretical study, with analytical and numerical methods.
Required language skills: english Further requirements: Good knowledge of mathematical methods like group theory and linear algebra, of quantum mechanics and most importantly, enthusiasm and interest in pursuing a difficult, but rewarding problem.
Number of students who can be accepted: 1
Deadline for application: 2018-05-31
2024. IV. 17. ODT ülés Az ODT következő ülésére 2024. június 14-én, pénteken 10.00 órakor kerül sor a Semmelweis Egyetem Szenátusi termében (Bp. Üllői út 26. I. emelet).
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