My research interests span a variety of problems in High Energy Physics Theory and Condensed Matter Physics Theory. In recent years, there has been a great deal of successful and promising interactions between physicists working in these two fields. My current research focuses on two major topics. The first can generally be called Twistronics; this includes understanding of physical properties of different Moiré superlattices and particularly the Twisted Bilayer or Multilayer Graphene. The second topic I'm actively working on is Critical phenomena. My recent research in this area focused on the Sachdev-Ye-Kitaev (SYK) model and other related systems which exhibit many interesting properties such as non-fermi liquid behavior, maximal chaos, spontaneous symmetry breaking, and so on.
Origin of magic angles in twisted bilayer graphene, G Tarnopolsky, AJ Kruchkov, A Vishwanath, Physical review letters 122 (10), 106405, (2019)
Uncolored random tensors, melon diagrams, and the Sahdev-Ye-Kitaev models, IR Klebanov, G Tarnopolsky, Physical Review D 95 (4), 046004, (2017)
On combinatorial expansion of the conformal blocks arising from AGT conjecture, VA Alba, VA Fateev, V Litvinov, GM Tarnopolskiy, Letters in Mathematical Physics 98 (1), 33-64, (2011)
Magic angle hierarchy in twisted graphene multilayers, E Khalaf, AJ Kruchkov, G Tarnopolsky, A Vishwanath, Physical Review B 100 (8), 085109, (2019)
Notes on the complex Sachdev-Ye-Kitaev model, Y Gu, A Kitaev, S Sachdev, G Tarnopolsky, Journal of High Energy Physics 2020 (2), 1-74, (2020)
Precise Low-Temperature Expansions for the Sachdev-Ye-Kitaev model, E Arguello Cruz, G Tarnopolsky arXiv e-prints, arXiv: 2206.13547, (2022)
Excitation spectra of quantum matter without quasiparticles. I. Sachdev-Ye-Kitaev models, M Tikhanovskaya, H Guo, S Sachdev, G Tarnopolsky Physical Review B 103 (7), 075141, (2021)
Fractional Chern insulator states in twisted bilayer graphene: An analytical approach, PJ Ledwith, G Tarnopolsky, E Khalaf, A Vishwanath Physical Review Research 2 (2), 023237, (2020)
Deconfined critical point in a doped random quantum Heisenberg magnet, DG Joshi, C Li, G Tarnopolsky, A Georges, S Sachdev Physical Review X 10 (2), 021033, (2020)
Metal-insulator transition in a random Hubbard model, G Tarnopolsky, C Li, DG Joshi, S Sachdev Physical Review B 101 (20), 205106, (2020)