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Kibble–Zurek mechanism of Ising domains

Journal Article · · Nature Physics
 [1];  [1];  [2];  [3];  [1];  [4];  [4];  [5];  [6];  [7]
  1. Rutgers Univ., Piscataway, NJ (United States)
  2. Pohang Univ. of Science and Technology (POSTECH) (Korea, Republic of); Max Planck POSTECH Center for Complex Phase Materials, Pohang (Korea, Republic of)
  3. Pennsylvania State Univ., University Park, PA (United States); Pohang Univ. of Science and Technology (POSTECH) (Korea, Republic of); Institute for Basic Science (IBS), Pohang (Korea, Republic of). Center for Artificial Low Dimensional Electronic Systems
  4. Argonne National Laboratory (ANL), Argonne, IL (United States)
  5. Instituto de Física Fundamental IFF-CSIC, Madrid (Spain); Donostia International Physics Center (DIPC), San Sebastian (Spain)
  6. Donostia International Physics Center (DIPC), San Sebastian (Spain); Univ. of Luxembourg (Luxembourg)
  7. Rutgers Univ., Piscataway, NJ (United States); Pohang Univ. of Science and Technology (POSTECH) (Korea, Republic of)
+ Show Author Affiliations
The formation of topological defects after a symmetry-breaking phase transition is an overarching phenomenon that encodes the underlying dynamics. The Kibble-Zurek mechanism (KZM) describes these non-equilibrium dynamics of second-order phase transitions and predicts a power-law relationship between the cooling rates and the density of topological defects. It has been verified as a successful model in a wide variety of physical systems, including structure formation in the early Universe and condensed-matter materials. However, it is uncertain if the KZM mechanism is also valid for topologically trivial Ising domains, one of the most common and fundamental types of domain in condensed-matter systems. Here we show that the cooling rate dependence of Ising domain density follows the KZM power law in two different three-dimensional structural Ising domains: ferro-rotation domains in NiTiO3 and polar domains in BiTeI. However, although the KZM slope of NiTiO3 agrees with the prediction of the 3D Ising model, the KZM slope of BiTeI exceeds the theoretical limit, providing an example of steepening KZM slope with long-range dipolar interactions. Finally, our results demonstrate the validity of KZM for Ising domains and reveal an enhancement of the power-law exponent for transitions of non-topological quantities with long-range interactions. The Kibble-Zurek mechanism is shown to apply to structural Ising domains in three-dimensional materials. Long-range interactions modify the critical exponents away from theoretical predictions.
Research Organization:
Argonne National Laboratory (ANL), Argonne, IL (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division (MSE); Korean Ministry of Science and ICT
Grant/Contract Number:
AC02-06CH11357; FG02-07ER46382
OSTI ID:
2340752
Journal Information:
Nature Physics, Journal Name: Nature Physics Journal Issue: 10 Vol. 19; ISSN 1745-2473
Publisher:
Nature Publishing Group (NPG)Copyright Statement
Country of Publication:
United States
Language:
English

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Figures / Tables (12)

Figure 1(p. 14)figure Figure 1
Figure 2(p. 15)figure Figure 2
Figure 3(p. 15)figure Figure 3
Extended Data Fig. 1(p. 16)figure Extended Data Fig. 1
Figure 4(p. 16)figure Figure 4
Extended Data Fig. 2(p. 17)figure Extended Data Fig. 2
Extended Data Fig. 3(p. 17)figure Extended Data Fig. 3
Extended Data Fig. 4(p. 18)figure Extended Data Fig. 4
Extended Data Fig. 5(p. 19)figure Extended Data Fig. 5
Extended Data Fig. 6(p. 19)figure Extended Data Fig. 6
Extended Data Fig. 7(p. 20)figure Extended Data Fig. 7
Extended Data Fig. 8(p. 21)figure Extended Data Fig. 8

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Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
Ising domains
Kibble–Zurek mechanism
ferro-rotation transition
long-range interactions
polar transition