SCHOOL ON ELECTRON CORRELATIONS AND TOPOLOGY

Organizers:

Yonglong Xie (Rice University)

Shouvik Sur (Rice University)

Fang Xie (Rice University)

Maia G. Vergniory (U. Sherbrooke, Canada) (Scientific Advisor)

Qimiao Si (Rice University) (Scientific Advisor)

Scope and Objectives:

The premise of the proposed school is that now is an opportune time for junior researchers from the community of correlation physics to be exposed to topological aspects of physics, and likewise for those from the topology community to correlation physics. By introducing the basic concepts and showcasing the emerging frontiers, the school will educate a cohort of junior researchers and, over the long run, help push the quantum matter field to confront outstanding challenges and realize the enormous opportunities that develop at the intersection of strong correlations and topology.

In recent years, there has been increasing recognition of the exciting potential of merging strong correlations beyond the single-particle picture and the topology of electronic wavefunctions. While our understanding of strongly correlated electronic systems has benefited from the research activities of materials such as quantum Hall, cuprate, and heavy fermion systems, the emergence of topological semimetals, moiré materials, and kagome metals has brought new surprises, puzzles, and challenges. Heavy fermion systems, the emergence of topological semimetals, moiré materials, and kagome These exciting developments have fueled the community working on quantum materials to develop new experimental methodologies to better characterize these systems and posed new theoretical questions, such as the classification and generation of electronic topology in the strongly correlated regime and efficient, reliable numerical methods for simulating these systems.

The school will bring together a diverse pool of theoretical and experimental physics experts on various aspects of electronic correlation and topology to deliver lectures on the exciting progress made so far and to chart future directions. The school will discuss a variety of topics, including:

- Correlated systems from basic notions to advanced studies

- Novel material platforms for realizing topological flat band systems

- Theoretical modeling of correlated topology

- Novel experimental probes of new correlated topological phases

- Quantum entanglement of strongly correlated matter

- Out-of-equilibrium dynamics of many-body systems

The total number of invited lecturers is about 10, listed below. The school will last for three and a half days. In addition to the lectures, we expect to incorporate seminars on frontier topics and select several contributed talks from contributed abstracts. The scientific program will start in the morning on Tuesday, April 22, and conclude by noon on Friday, April 25.

Invited Lecturers:

A tentative list of the lecturers and the respective topics they will cover are as follows:

· Masaki Oshikawa (U. Tokyo, Japan) (Correlation physics – an introduction)

· Frank Schindler (Imperial College London, UK) (Topological band theory—an introduction)

· Yong-Baek Kim (U. Toronto, Canada) (Quantum spin liquids)

· Alex Thomson (U.C. Davis) (Moiré materials – progress in theory)

· Jeong Min (Jane) Park (Moiré materials – progress in experiment)

· Veronika Sunko (U.C. Berkeley) (Optical probe of quantum materials)

· Steven R. White (U.C. Irvine) (Tensor network methods for correlated quantum systems)

· Martin Claassen (U. Penn) (Correlated systems away from equilibrium)

· Ananda Roy (Rutgers U.) (Quantum entanglement in strongly correlated systems)

Invited Seminar Speakers:

· Ming Yi (Rice) (Flat band materials)

· Maia G. Vergniory (U. Sherbrook, Canada) (Topological materials)

· More to be announced

Website: https://eqma.rice.edu/2025-spring-school

Registration fee: $30 for Rice affiliates (please use your Rice email for registration) and $100 for non-Rice attendees.

Housing: $400 (double occupancy, from April 21 to April 25. Single occupancy available upon request).

For questions on the scientific program, please contact one of the organizers listed above.

For accommodation and other logistics questions, please get in touch with [email protected].

Poster submission:

If you are a speaker or poster presenter, please include an abstract when registering. If interested in contributing, all participants are encouraged to submit titles and abstracts.

Sample abstract:

First-Name Last-Name, Other authors

Department of Xyz, Abc University, City, State, Country

The title of my presentation

My brief abstract. The entire file, including the author(s), their affiliation(s), the presentation title, abstract, and references, based on one of my recent publications [1] and another recent work [2], is limited to one page.

[1] J. Doe, Journal 3, 21 (2021).

[2] B. Smith, Journal 9, 87 (2022).

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