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Strongly correlate systems, specifically High Temperature Superconductivity, Quantum Criticality, Topological phases
- Laboratory of Atomic and Solid State Physics (LASSP)
My research interests lie in the theoretical study of the collective phenomena condensed matter systems exhibit, and in understanding how such phenomena emerges from microscopic physics. Especially, I have been interested in the physics of strongly correlated systems: systems consisting of many strongly interacting degrees of freedom. Strong correlations can lead to a surprisingly rich diversity of novel phenomena that are highly non-trivial from a single particle perspective. Over the last few decades, new experimental discoveries, through the development of new experimental probes and the fabrication of ever more exotic materials and devices, have been raising unexpected and conceptually deep questions. The possibility of obtaining a non-trivial understanding through a close interaction and synergy with experimental colleagues make the theoretical study of this field exciting and rich.
Among various topics that fall under the above category, I am currently focusing on 1) High Temperature Superconductivity, 2) Topological phases.
High Temperature Superconductivity
Unconventional superconductors include cuprate perovskites known for their high Tc superconductivity as well as strontium ruthenates which are candidate chiral p-wave superconductors. The wealth of amazing properties cuprate perovskites display is not limited to high Tc superconductivity, but it also includes quantum antiferromagnetism and the delicate interplay between superconductivity and other forms of order such as charge-density-wave and spin-density wave and glassy states. In addition to the relatively recent discovery of odd-parity superconductivity in strontium ruthenates, the even more recent unexpected discovery of superconductivity in transition metal oxypnictides has rejuvenated excitement in the field.
Topological phases are characterized by the emergence of an effectively enlarged symmetry: topological invariance. This concept is defined by an invariance of the macroscopic properties under smooth deformations of the system. In practice, it implies robustness against local perturbations and against changes of shape or size of the sample, with the prototype of such phenomena being the quantum Hall (QH) effect. The current resurgence of the field is led by new proposals for realizing topological phases, in conjunction with developments in mesoscale fabrication technology. The time is ripe to make progress in this cross-disciplinary field where mathematics, condensed matter physics, field theory, and quantum information meet.
The above discussed are complex and challenging problems which require a variety of theoretical approaches. One system could display more than one of the above intriguing phenomena. My group will pursue much needed understanding of major open problems through simple but relevant model problems amenable to solutions using basic tools, as well as through problems that require sophisticated analytical and numerical tools.
Yi-Ting Hsu, Aaron Hui and Jordan Venderley
Andrej Mesaros, Jian-Huang She and Frank (Yi) Zhang (Bethe Fellow)