Abstract
Twisted bilayer graphene is an excellent example of highly correlated system demonstrating a nearly flat electron band, the Mott transition and probably a spin liquid state. Besides the one-electron picture, analysis of Dirac points is performed in terms of spinon Fermi surface in the limit of strong correlations. Application of gauge field theory to describe deconfined spin liquid phase is treated. Topological quantum transitions, including those from small to large Fermi surface in the presence of van Hove singularities, are discussed.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Y. Cao, V. Fatemi, A. Demir, S. Fang, S. L. Tomarken, J. Y. Luo, J. D. Sanchez-Yamagishi, K. Watanabe, T. Taniguchi, E. Kaxiras, R. C. Ashoori, and P. Jarillo- Herrero, Nature (London, U.K.. 556, 80 (2018); arXiv:1802.00553.
P. A. Lee, N. Nagaosa, and X.-G. Wen, Rev. Mod. Phys. 78, 17 (2006).
Y. Cao, J. Y. Luo, V. Fatemi, S. Fang, J. D. Sanchez- Yamagishi, K. Watanabe, T. Taniguchi, E. Kaxiras, and P. Jarillo-Herrero, Phys. Rev. Lett. 117, 116804 (2016).
M. Yankowitz, J. Jung, E. Laksono, N. Leconte, B. L. Chittari, K. Watanabe, T. Taniguchi, Sh. Adam, D. Graf, and C. R. Dean, arXiv:1707.09054.
M. Goerbig and G. Montambaux, in Dirac Matter, Ed. by B. Duplantier, V. Rivasseau, and J. N. Fuchs, Vol. 71 of Progress in Mathematical Physics (Birkhäuser, Basel, 2017), p. 25; arXiv:1410.4098.
Y. Kim, P. Herlinger, P. Moon, M. Koshino, T. Taniguchi, K. Watanabe, and J. H. Smet, Nano Lett. 16, 5053 (2016).
V. Yu. Irkhin and Yu. N. Skryabin, JETP Lett. 106, 167 (2017).
C. Xu and L. Balents, arXiv:1803.08057.
T. Senthil, Phys. Rev.. 78, 035103 (2008).
S. Sachdev, Rapporteur talk at the 24th Solvay Conference on Physics, Brussels, Oct. 2008; arXiv:0901.4103.
V. Yu. Irkhin, Phys. Usp. 60, 747 (2017).
T. Senthil, M. Vojta, and S. Sachdev, Phys. Rev.. 69, 035111 (2004).
S.-S. Lee and P. A. Lee, Phys. Rev. Lett. 95, 036403 (2005).
S. Jafari, Eur. Phys. J.. 68, 537 (2009).
D. H. Kim and P. A. Lee, Ann. Phys. 272, 130 (1999).
L. B. Ioffe and A. I. Larkin, Phys. Rev.. 39, 8988 (1989).
G. E. Volovik, Phys. Usp. 61, 89 (2018).
K.-Y. Yang, T. M. Rice, and F.-C. Zhang, Phys. Rev.. 73, 174501 (2006).
G. E. Volovik, Lect. Notes Phys. 718, 31 (2007); arXiv:cond-mat/0601372.
V. A. Khodel and V. R. Shaginyan, JETP Lett. 51, 553 (1990).
G. E. Volovik, JETP Lett. 107, 516 (2018); arXiv:1803.08799.
S. Sachdev, M. A. Metlitski, and M. Punk, J. Phys.: Condens. Matte. 24, 294205 (2012).
V. Yu. Irkhin, A. A. Katanin, and M. I. Katsnelson, Phys. Rev. Lett. 89, 076401 (2002).
Author information
Authors and Affiliations
Corresponding author
Additional information
Published in Russian in Pis’ma v Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2018, Vol. 107, No. 10, pp. 684–688.
The article is published in the original.
Rights and permissions
About this article
Cite this article
Irkhin, V.Y., Skryabin, Y.N. Dirac Points, Spinons, and Spin Liquid in Twisted Bilayer Graphene. Jetp Lett. 107, 651–654 (2018). https://doi.org/10.1134/S0021364018100016
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0021364018100016