Abstract
The critical properties of the zero-temperature superfluid-insulator transition in the fullyfrustrated quantum rotor model at incommensurate filling in two dimensions are studied. We develop a spherical approximation scheme for the model with phase frustration f = 1/2 by choosing a primitive unit cell composed of two sites. The finite-size scaling behavior of various physical quantities in the spherical limit provides the correlation length critical exponent ν = 0.5 and the dynamical critical exponent z = 2, which are consistent with the scenario of the generic superfluidinsulator transition even in the presence of phase frustration.
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References
R. Fazio and H. van der Zant, Phys. Rep. 355, 235 (2001).
M.-C. Cha, M. P. A. Fisher, S. M. Girvin, M. Wallin and A. P. Young, Phys. Rev. B 44, 6883 (1991).
M. P. A. Fisher, P. B. Weichman, G. Grinstein and D. S. Fisher, Phys. Rev. B 40, 546 (1989).
M. P. A. Fisher, Phys. Rev. Lett. 65, 923 (1990).
F. Alet and E. S. Sørensen, Phys. Rev. B 70, 024513 (2004).
M.-C. Cha, J. Korean Phys. Soc. 47, 1087 (2005).
E. Granato and J. M. Kosterlitz, Phys. Rev. Lett. 65, 1267 (1990).
M.-C. Cha and S. M. Girvin, Phys. Rev. B 49, 9794 (1994).
T. An and M.-C. Cha, J. Korean Phys. Soc. 66, 882 (2015).
H. Lee and M.-C. Cha, Phys. Rev. B 65, 172505 (2002).
K. Kim and D. Stroud, Phys. Rev. B 78, 174517 (2008).
E. Granato, Eur. Phys. J. B 89, 68 (2016).
C. Bruder, R. Fazio, A. Kampf, A van Otterlo and G. Schön, Physica Scripta T 42, 159 (1992).
Y. Tu and P. B. Weichman, Phys. Rev. Lett. 73, 6 (1994).
E. Granato, arXiv: 1607.08651.
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Cha, MC. Critical properties of the quantum rotor model with phase frustration at incommensurate filling in two dimensions. Journal of the Korean Physical Society 69, 1152–1156 (2016). https://doi.org/10.3938/jkps.69.1152
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DOI: https://doi.org/10.3938/jkps.69.1152