The choice of statistics for a quantum particle is almost always a discrete one: either bosonic or fermionic. Anyons are the exceptional case for which the statistics can take a range of intermediate values. Holography provides an opportunity to address the question of how the behavior of interacting anyons depends on the choice of statistics. In this paper, we analyze the spectrum of a strongly coupled, gapless fluid of anyons described holographically by the D3-D7' model with alternative boundary conditions. We investigate how these alternative boundary conditions impact the instability of the gapless homogeneous phase toward the formation of spatial order. In addition, we also show that for a particular, limiting choice of the alternative boundary conditions, this holographic system can be interpreted as describing strongly coupled (2+1)-dimensional QED. In this case, the instability leads to a spontaneous, spatially modulated magnetic field.
Bibliographical noteFunding Information:
We thank Matti Järvinen, Esko Keski-Vakkuri, and Tobias Zingg for discussions. N. J. is supported by the Academy of Finland Grant No. 1297472. M. L. was supported by funding from the European Research Council under the European Union’s Seventh Framework Programme (Grant No. FP7/2007-2013)/ERC Grant No. 268088-EMERGRAV. M. L. was also supported by a professional development grant from Long Island University. The work of G. L. is supported in part by the Israel Science Foundation under Grant No. 504/13. We thank the Galileo Galilei Institute for Theoretical Physics for the hospitality and the INFN for partial support while this work was in progress.
© 2017 American Physical Society.
ASJC Scopus subject areas
- Physics and Astronomy (miscellaneous)