Carnegie Mellon University

Grigory Tarnopolsky

Assistant Professor

Condensed Matter Physics Theory
High Energy Physics Theory
Wean Hall 7301


Prof. Grigory Tarnopolsky

Education & Professional Experience

Ph.D.: Princeton University, Physics (2017)
M.S.: Moscow Institute of Physics and Technology, Physics (2011)
B.S.: Moscow Institute of Physics and Technology, Physics (2009)

Professional Societies:
American Physical Society

Assistant Professor, Carnegie Mellon University, 2021–
Postdoctoral Fellow, Harvard University, 2017–2021

Research Interests

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.

Recent Publications

M. Tikhanovskaya, H. Guo, S. Sachdev, G. Tarnopolsky, Excitation spectra of quantum matter without quasiparticles. II. Random t — J models, Phys. Rev. B 103, 075142 (2021)

M. Tikhanovskaya, H. Guo, S. Sachdev, G. Tarnopolsky, Excitation spectra of quantum matter without quasiparticles. I. Sachdev-Ye-Kitaev models, Phys. Rev. B 103, 075141 (2021)

I.R. Klebanov, A. Milekhin, G. Tarnopolsky, W. Zhao, Spontaneous breaking of U(1) symmetry in coupled complex SYK models, JHEP 11, 1-29 (2020)

G. Tarnopolsky, C. Li, D.G. Joshi, S. Sachdev, Metal-insulator transition in a random Hubbard model, Phys. Rev. B 101, 205106 (2020)

P.J. Ledwith, G. Tarnopolsky, E. Khalaf, A. Vishwanath, Fractional Chern Insulator States in Twisted Bilayer Graphene: An Analytical Approach, Phys. Rev. Research 2, 023237 (2020)

Darshan G. Joshi et al., Deconned critical point in a doped random quantum Heisenberg magnet, Phys. Rev. X 10, 021033 (2020)

Y. Gu, A. Kitaev, S. Sachdev, G. Tarnopolsky, Notes on the complex Sachdev-Ye-Kitaev modelJHEP 2, 1-74 (2020)

Simone Giombi et al., The O(N) Model in 4 < d < 6: Instantons and Complex CFTs, Phys. Rev. D 101, 045013 (2020)

J. Kim, I.R. Klebanov, G. Tarnopolsky, W. Zhao, Symmetry Breaking in Coupled SYK or Tensor Models, Phys. Rev. X 9, 021043 (2019)

E. Khalaf, A.J. Kruchkov, G. Tarnopolsky, A. Vishwanath, Magic Angle Hierarchy in Twisted Graphene Multilayers, Phys. Rev. B 100, 085109 (2019)

S. Sachdev, H.D. Scammell, M.S. Scheurer, G. Tarnopolsky, Gauge theory for the cuprates near optimal doping, Phys. Rev. B 99, 054516 (2019)

G. Tarnopolsky, A.J. Kruchkov, A. Vishwanath, Origin of Magic Angles in Twisted Bilayer Graphene, Phys. Rev. Lett. 122, 106405, (2019)

More Publications:
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