Parity-time symmetry breaking in spin chains

Abstract

We investigate nonequilibrium phase transitions in classical Heisenberg spin chains associated with spontaneous breaking of parity-time ($\mathcal{P}\mathcal{T}$) symmetry of the system under the action of Slonczewski spin-transfer torque (STT) modeled by an applied \textit{imaginary} magnetic field. We reveal the STT-driven $\mathcal{P}\mathcal{T}$ symmetry-breaking phase transition between the regimes of precessional and exponentially damped spin dynamics and show that its several properties can be derived from the distribution of zeros of the system's partition function, the approach first introduced by Yang and Lee for studying equilibrium phase transitions in Ising spin chains. The physical interpretation of imaginary magnetic field as describing the action of non-conservative forces opens the possibility of direct observations of Lee-Yang zeros in nonequilibrium physical systems.

5 pages, 4 figures

References in corpus (7)

• Color superconductivity in dense quark matter
• Physical realization of $\mathcal{P}\mathcal{T}$-symmetric potential scattering in a planar slab waveguide
• Experimental Determination of Dynamical Lee-Yang Zeros
• Parity-time symmetry breaking in magnetic systems
• Intermittency and dynamical Lee-Yang zeros of open quantum systems
• Linear dynamics of classical spin as Möbius transformation
• QCD at Non-Zero Density : Lattice Results

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• Exceptional points in dissipatively coupled spin dynamics
• Steering between Level Repulsion and Attraction: Broad tunability of Two-Port Driven Cavity Magnon-Polaritons
• Proposal for Observing Yang-Lee Criticality in Rydberg Atomic Arrays
• Dynamic magnetization in non-Hermitian quantum spin system
• Excitation Transmission through a non-Hermitian traversable wormhole
• Self-organization in the one-dimensional Landau-Lifshitz-Gilbert-Slonczewski equation with non-uniform anisotropy fields
• Stable solitons in a nearly PT-symmetric ferromagnet with spin-transfer torque
• Negative Gilbert damping in cavity optomagnonics
• Gaussian eigenstate pinning in non-Hermitian quantum mechanics
• Parity-Time Symmetric Spin-1/2 Richardson-Gaudin Models