skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Parity-time symmetry breaking in magnetic systems

Journal Article · · Physical Review B
 [1];  [1]
  1. Argonne National Lab. (ANL), Argonne, IL (United States). Materials Science Division

The understanding of out-of-equilibrium physics, especially dynamic instabilities and dynamic phase transitions, is one of the major challenges of contemporary science, spanning the broadest wealth of research areas that range from quantum optics to living organisms. By focusing on nonequilibrium dynamics of an open dissipative spin system, we introduce a non-Hermitian Hamiltonian approach, in which non-Hermiticity reflects dissipation and deviation from equilibrium. The imaginary part of the proposed spin Hamiltonian describes the effects of Gilbert damping and applied Slonczewski spin-transfer torque. In the classical limit, our approach reproduces Landau-Lifshitz-Gilbert-Slonczewski dynamics of a large macrospin. Here, we reveal the spin-transfer torque-driven parity-time symmetry-breaking phase transition corresponding to a transition from precessional to exponentially damped spin dynamics. Micromagnetic simulations for nanoscale ferromagnetic disks demonstrate the predicted effect. These findings can pave the way to a general quantitative description of out-of-equilibrium phase transitions driven by spontaneous parity-time symmetry breaking.

Research Organization:
Argonne National Lab. (ANL), Argonne, IL (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
Grant/Contract Number:
AC02-06CH11357
OSTI ID:
1356846
Alternate ID(s):
OSTI ID: 1262455
Journal Information:
Physical Review B, Vol. 94, Issue 2; ISSN 2469-9950
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 35 works
Citation information provided by
Web of Science

References (32)

Jarzynski Equality in P T -Symmetric Quantum Mechanics journal April 2015
Observation of PT phase transition in a simple mechanical system journal March 2013
Twofold transition in PT -symmetric coupled oscillators journal December 2013
Observation of a fast evolution in a parity-time-symmetric system
  • Zheng, Chao; Hao, Liang; Long, Gui Lu
  • Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 371, Issue 1989 https://doi.org/10.1098/rsta.2012.0053
journal April 2013
Spin-transfer-induced precessional magnetization reversal journal May 2004
Low-power non-volatile spintronic memory: STT-RAM and beyond journal February 2013
The design and verification of MuMax3 journal October 2014
Experimental study of active LRC circuits with PT symmetries journal October 2011
Stimulation of the Fluctuation Superconductivity by P T Symmetry journal October 2012
An invisible acoustic sensor based on parity-time symmetry journal January 2015
Observation of parity–time symmetry in optics journal January 2010
Critical behavior at a dynamic vortex insulator-to-metal transition journal September 2015
Exact PT -symmetry is equivalent to Hermiticity journal June 2003
Bloch Oscillations in Complex Crystals with P T Symmetry journal September 2009
Bifurcation Diagram and Pattern Formation of Phase Slip Centers in Superconducting Wires Driven with Electric Currents journal October 2007
The classical limit of quantum spin systems journal December 1973
Classics in Magnetics A Phenomenological Theory of Damping in Ferromagnetic Materials journal November 2004
Real Spectra in Non-Hermitian Hamiltonians Having P T Symmetry journal June 1998
PT -symmetric optical potentials in a coherent atomic medium journal October 2013
Some properties of coherent spin states journal May 1971
Parity–time-symmetric whispering-gallery microcavities journal April 2014
Mean-Field Dynamics of a Non-Hermitian Bose-Hubbard Dimer journal October 2008
Current-driven excitation of magnetic multilayers journal June 1996
Visualization of Branch Points in P T -Symmetric Waveguides journal August 2008
The Resistive State in a Superconducting Wire: Bifurcation from the Normal State journal November 2008
Comparison of Quantum and Classical Relaxation in Spin Dynamics journal April 2013
PT-symmetric quantum mechanics journal May 1999
The semiclassical propagator for spin coherent states journal December 2000
Physical realization of -symmetric potential scattering in a planar slab waveguide journal February 2005
Optical Realization of Relativistic Non-Hermitian Quantum Mechanics journal June 2010
Quantum Noise and Self-Sustained Radiation of P T -Symmetric Systems journal June 2010
Statistical Theory of Equations of State and Phase Transitions. I. Theory of Condensation journal August 1952

Cited By (8)

Exceptional points in classical spin dynamics journal November 2019
Manipulating quantum spins by spin-polarized current: an approach based upon $\mathcal{PT}$ -symmetric quantum mechanics journal March 2019
Experimental Realization of Floquet P T -Symmetric Systems journal September 2017
Antiferromagnetism Emerging in a Ferromagnet with Gain journal November 2018
Observation of exceptional points in magnonic parity-time symmetry devices journal November 2019
On the K-theoretic classification of dynamically stable systems journal January 2019
Antiferromagnetism emerging in a ferromagnet with gain text January 2018
Exceptional points in classical spin dynamics preprint January 2019

Similar Records

Linear dynamics of classical spin as Mobius transformation
Journal Article · Wed Apr 26 00:00:00 EDT 2017 · Scientific Reports · OSTI ID:1356846

Parity-time symmetry breaking in spin chains
Journal Article · Tue May 01 00:00:00 EDT 2018 · Physical Review B · OSTI ID:1356846

$${\mathcal{P}}{\mathcal{T}}$$-Symmetric Effective Model for Nonequilibrium Phase Transitions in a Dissipative Fermionic Mott Insulator Chain
Journal Article · Wed Apr 29 00:00:00 EDT 2020 · Scientific Reports · OSTI ID:1356846