18–21 Apr 2024
WFAIS UJ
Europe/Zurich timezone

Exactly solvable Quantum spin-1/2 models in 2D

21 Apr 2024, 12:40
20m
WFAIS UJ

WFAIS UJ

Faculty of Physics, Astronomy and Applied Computer Science, prof. St. Łojasiewicza 11, Kraków
Talk

Speaker

Ihor Sokolov (Jagiellonian University, Institute of Theoretical Physics)

Description

Quantum spin-1/2 systems in two dimensions offer a rich and fascinating arena for theoretical and experimental exploration in condensed matter physics. In this presentation, we will delve into these quantum systems in 2D. Starting with the Kitaev model, we will discuss one of the analytical approaches to solving such models, using the Jordan-Wigner transformation and Bogoliubov rotations. Additionally, we will explore several other exactly solvable models, such as the Ising model (Onsager's solution), free fermion models, and certain limits of the Hubbard model. Through these examples, we will emphasize the crucial symmetries and integrability properties that facilitate exact solvability.

Field Physics and Astronomy
Length Short 15 min

Author

Ihor Sokolov (Jagiellonian University, Institute of Theoretical Physics)

Presentation materials