TY - JOUR
T1 - Period multiplication cascade at the order-by-disorder transition in uniaxial random field XY magnets
AU - Basak, S
AU - Dahmen, K A
AU - Carlson, E W
N1 - Funding Information:
We acknowledge helpful conversations with D. Campbell, S. Choudhury, G. A. Csathy, E. Fradkin, T. C. Li, and C. Nayak. E.W.C. and S.B. acknowledge support from NSF Grant Nos. DMR-1508236 and DMR-2006192, Department of Education Grant No. P116F140459, the Research Corporation for Science Advancement Cottrell SEED Award, and XSEDE Grant Nos. TG-DMR-180098 and DMR-190014. S.B. acknowledges support from a Bilsland Dissertation Fellowship. E.W.C. acknowledges support from a Fulbright Fellowship. E.W.C. thanks the Laboratoire de Physique et d’Étude des Matériaux (LPEM) at École Supérieure de Physique et de Chimie Industrielles de la Ville de Paris (ESPCI) for hospitality. K.A.D. acknowledges support from NSF Grant No. CBET-1336634. This research was supported in part through computational resources provided by Information Technology at Purdue, West Lafayette, IN.
PY - 2020/12/1
Y1 - 2020/12/1
N2 - Uniaxial random field disorder induces a spontaneous transverse magnetization in the XY model. Adding a rotating driving field, we find a critical point attached to the number of driving cycles needed to complete a limit cycle, the first discovery of this phenomenon in a magnetic system. Near the critical drive, time crystal behavior emerges, in which the period of the limit cycles becomes an integer n > 1 multiple of the driving period. The period n can be engineered via specific disorder patterns. Because n generically increases with system size, the resulting period multiplication cascade is reminiscent of that occurring in amorphous solids subject to oscillatory shear near the onset of plastic deformation, and of the period bifurcation cascade near the onset of chaos in nonlinear systems, suggesting it is part of a larger class of phenomena in transitions of dynamical systems. Applications include magnets, electron nematics, and quantum gases.
AB - Uniaxial random field disorder induces a spontaneous transverse magnetization in the XY model. Adding a rotating driving field, we find a critical point attached to the number of driving cycles needed to complete a limit cycle, the first discovery of this phenomenon in a magnetic system. Near the critical drive, time crystal behavior emerges, in which the period of the limit cycles becomes an integer n > 1 multiple of the driving period. The period n can be engineered via specific disorder patterns. Because n generically increases with system size, the resulting period multiplication cascade is reminiscent of that occurring in amorphous solids subject to oscillatory shear near the onset of plastic deformation, and of the period bifurcation cascade near the onset of chaos in nonlinear systems, suggesting it is part of a larger class of phenomena in transitions of dynamical systems. Applications include magnets, electron nematics, and quantum gases.
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U2 - 10.1038/s41467-020-18270-6
DO - 10.1038/s41467-020-18270-6
M3 - Article
C2 - 32938909
SN - 2041-1723
VL - 11
JO - Nature communications
JF - Nature communications
IS - 1
M1 - 4665
ER -