Abstract
We study the critical properties of the superfluid-insulator transition in the fully-frustrated quantum rotor model at commensurate filling in two dimensions. By developing a large-N method that is applicable to the model with frustration, we find the finite-size scaling properties in the spherical limit, from which the correlation length critical exponent ? = 1.0 and the dynamical critical exponent z = 1 are confirmed. A universal sheet resistance of R c /R 0 = 1.25(1) at the critical point, where R 0 is the quantum resistance, is obtained, which is consistent with the theoretical prediction.
Similar content being viewed by others
References
J. G. Brankov, D. M. Danchev and N. S. Tonchev, Theory of Critical Phenomena in Finite-Size Systems: Scaling and Quantum Effects (World Scientific, Singapore, 2000).
Y. Tu and P. B. Weichman, Phys. Rev. Lett. 73, 6 (1994).
M.-C. Cha, J. Korean Phys. Soc. 37, 351 (2000).
M.-C. Cha, J. Korean Phys. Soc. 47, 1087 (2005).
M. P. A. Fisher, P. B. Weichman, G. Grinstein and D. S. Fisher, Phys. Rev. B 40, 546 (1989).
M.-C. Cha, M. P. A. Fisher, S. M. Girvin, M. Wallin and A. P. Young, Phys. Rev. B 44, 6883 (1991).
R. Fazio and H. van der Zant, Phys. Rep. 355, 235 (2001).
M. Lewenstein, A. Sanpera, V. Ahufinger, B. Damski, A. Sen(De) and U. Sen, Adv. Phys. 56, 243 (2007).
R. Yu et al., Nature 489, 379 (2012).
D. Jaksch and P. Zoller, New J. Phys. 5, 56 (2003).
M. Aidelsburger, M. Atala, S. Nascimbène, S. Trotzky, Y.-A. Chen and I. Bloch, Phys. Rev. Lett. 107, 255301 (2011).
M.-C. Cha and S. M. Girvin, Phys. Rev. B 49, 9794 (1994).
E. Granato and J. M. Kosterlitz, Phys. Rev. Lett. 65, 1267 (1990).
M. P. A. Fisher, G. Grinstein and S. M. Girvin, Phys. Rev. Lett. 64, 587 (1990).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
An, T., Cha, MC. Superfluid-insulator transition of the two-dimensional fully-frustrated quantum rotor model in the spherical limit. Journal of the Korean Physical Society 66, 882–886 (2015). https://doi.org/10.3938/jkps.66.882
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.3938/jkps.66.882