Bulletin of the American Physical Society
APS March Meeting 2023
Volume 68, Number 3
Las Vegas, Nevada (March 5-10)
Virtual (March 20-22); Time Zone: Pacific Time
Session W56: Quantum Spin Liquids, Theory II
3:00 PM–5:48 PM,
Thursday, March 9, 2023
Room: Room 304
Sponsoring
Unit:
GMAG
Chair: Martin Mourigal, Georgia Tech
Abstract: W56.00010 : Classification of classical spin liquid*
4:48 PM–5:00 PM
Presenter:
Han Yan
(Rice University)
Authors:
Han Yan
(Rice University)
Owen M Benton
(Max Planck Institute for the Physics of)
Andriy H Nevidomskyy
(Rice Univ)
Roderich Moessner
(Max Planck Institute for the Physics of)
In this work, we present a classification scheme for CSL in the limit of the large number (N) of spin components, which allows them to be treated as real-valued scalars. We found that the ground state degeneracy is encoded in the flat bands at the bottom of the spectrum, with the classical spin liquids classified by the properties of these bands. Two categories emerge: (i) when there is a singular band touching between the top bands and the bottom ones, the system has algebraic correlations; the ground state is then described by a generalized Gauss’s law, whose algebraic form is determined by the band touching structure. A much less studied category (ii) is when the flat bands are gapped from the top ones. In this case, the correlations are short-ranged, however, the classical spin liquid can be distinguished from a trivial paramagnet by the fragile topological homotopy of the bottom bands. Besides building the general mathematical framework of the classification, I will also show some concrete examples and discuss experimental applications.
*H.Y. and A.H.N. are supported by the National Science Foundation Division of Materials Research under the Award DMR-1917511.H.Y. is also supported by Peter and Ruth Nicolas Postdoctal Fellowship. This work was in part supported by the Deutsche Forschungsgemeinschaft under grant SFB 1143 (project-id 247310070).
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