Spinon-phonon interaction in algebraic spin liquids

M. Serbyn, P. Lee, Physical Review B - Condensed Matter and Materials Physics 87 (2013).


Journal Article | Published
Author
Abstract
Motivated by a search for experimental probes to access the physics of fractionalized excitations called spinons in spin liquids, we study the interaction of spinons with lattice vibrations. We consider the case of algebraic spin liquid, when spinons have fermionic statistics and a Dirac-like dispersion. We establish the general procedure for deriving spinon-phonon interactions, which is based on symmetry considerations. The procedure is illustrated for four different algebraic spin liquids: π-flux and staggered-flux phases on a square lattice, π-flux phase on a kagome lattice, and zero-flux phase on a honeycomb lattice. Although the low-energy description is similar for all these phases, different underlying symmetry groups lead to a distinct form of spinon-phonon interaction Hamiltonian. The explicit form of the spinon-phonon interaction is used to estimate the attenuation of ultrasound in an algebraic spin liquid. The prospects of the sound attenuation as a probe of spinons are discussed.
Publishing Year
Date Published
2013-05-22
Journal Title
Physical Review B - Condensed Matter and Materials Physics
Acknowledgement
M. S. is grateful to X.-G. Wen, L. Levitov, M. Metlitski, K. Michaeli, K.-T. Chen, and A. Potter for many useful discussions. We acknowledge support by Grant No. NSF DMR 1104498. We acknowledge the hospitality of KITP, where final stages of this project were completed.
Volume
87
Issue
17
IST-REx-ID
976

Cite this

Serbyn M, Lee P. Spinon-phonon interaction in algebraic spin liquids. Physical Review B - Condensed Matter and Materials Physics. 2013;87(17). doi:10.1103/PhysRevB.87.174424
Serbyn, M., & Lee, P. (2013). Spinon-phonon interaction in algebraic spin liquids. Physical Review B - Condensed Matter and Materials Physics, 87(17). https://doi.org/10.1103/PhysRevB.87.174424
Serbyn, Maksym, and Patrick Lee. “Spinon-Phonon Interaction in Algebraic Spin Liquids.” Physical Review B - Condensed Matter and Materials Physics 87, no. 17 (2013). https://doi.org/10.1103/PhysRevB.87.174424.
M. Serbyn and P. Lee, “Spinon-phonon interaction in algebraic spin liquids,” Physical Review B - Condensed Matter and Materials Physics, vol. 87, no. 17, 2013.
Serbyn M, Lee P. 2013. Spinon-phonon interaction in algebraic spin liquids. Physical Review B - Condensed Matter and Materials Physics. 87(17).
Serbyn, Maksym, and Patrick Lee. “Spinon-Phonon Interaction in Algebraic Spin Liquids.” Physical Review B - Condensed Matter and Materials Physics, vol. 87, no. 17, American Physical Society, 2013, doi:10.1103/PhysRevB.87.174424.
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