Bulletin of the American Physical Society
APS March Meeting 2022
Volume 67, Number 3
Monday–Friday, March 14–18, 2022; Chicago
Session T00: Poster Session III (1pm- 4pm CST)
1:00 PM,
Thursday, March 17, 2022
Room: McCormick Place Exhibit Hall F1
Abstract: T00.00062 : Order Fractionalization in a Kitaev-Kondo model I: Introduction to the model. Piers Coleman and Alexei Tsvelik*
Presenter:
Piers Coleman
(Rutgers University)
Author:
Piers Coleman
(Rutgers University)
emergent particles with fractional quantum numbers, such as spinons, anyons or
Majorana fermions, well established, and may play an important role in quantum
materials that appear to form neutral Fermi surfaces, such as SmB6[1],
YbB12[2] and \alpha-RuCl3[3]. "Order fractionalization" is
conjectured [4] to occur when such fractional quasiparticles pair with
conventional electrons, forming an order parameter fractional quantum numbers.
We describe a mechanism for order fractionalization in a two-dimensional Kondo
lattice model, in which electrons interact with a gapless spin liquid of
Majorana fermions described by the Yao-Lee (YL) model. When the Kondo coupling
to the conduction electrons exceeds a critical value, the model develops a
superconducting instability into a state with charge e spinor order. By
including an appropriate gauge string, we can explicitly show that spinorial
order develops off-diagonal long range order.
[1] B. S. Tan et al, Science 349, 287 (2015).
[2] Y. Sato et al, Nature Physics 15, 954-959 (2019).
[3] P. Czajka et al, Nature Physics 17, 915-919 (2021).
[4] Y. Komijani et al, arXiv:1811.11115 (2018).
*This work was supported by Office of Basic Energy Sciences, Material Sciences and Engineering Division, U.S. Department of Energy (DOE) under Contracts No. DE-SC0012704 (AMT) and DE-FG02-99ER45790 (PC).
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