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Title: Parity-time symmetry breaking in spin chains

Journal Article · · Physical Review B

We investigate nonequilibrium phase transitions in classical Heisenberg spin chains associated with spontaneous breaking of parity-time (PT) symmetry of the system under the action of Slonczewski spin-transfer torque (STT) modeled by an applied imaginary magnetic field. We reveal the STT-driven PT 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 nonconservative forces opens the possibility of direct observations of Lee-Yang zeros in nonequilibrium physical systems.

Research Organization:
Argonne National Lab. (ANL), Argonne, IL (United States)
Sponsoring Organization:
USDOE Office of Science - Office of Basic Energy Sciences - Materials Sciences and Engineering Division
DOE Contract Number:
AC02-06CH11357
OSTI ID:
1455047
Journal Information:
Physical Review B, Vol. 97, Issue 20; ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English

References (35)

Dynamical Quantum Phase Transitions in the Transverse-Field Ising Model journal March 2013
Parity-time symmetry-breaking mechanism of dynamic Mott transitions in dissipative systems journal July 2016
On the product of semi-groups of operators journal April 1959
Spin-Torque Switching with the Giant Spin Hall Effect of Tantalum journal May 2012
Parity-time symmetry breaking in magnetic systems journal July 2016
Linear dynamics of classical spin as Möbius transformation journal April 2017
Color superconductivity in dense quark matter journal November 2008
QCD at non-zero density: lattice results journal September 2008
Theorems on the Ising Model with General Spin and Phase Transition journal December 1968
Experimental Determination of Dynamical Lee-Yang Zeros journal May 2017
Classical Heisenberg Model journal March 1967
Exact PT -symmetry is equivalent to Hermiticity journal June 2003
Magnetism in One-Dimensional Systems—The Heisenberg Model for Infinite Spin journal May 1964
Zeros of the Partition Function for the Heisenberg, Ferroelectric, and General Ising Models journal February 1971
Statistical Theory of Equations of State and Phase Transitions. II. Lattice Gas and Ising Model journal August 1952
The classical limit of quantum spin systems journal December 1973
Real Spectra in Non-Hermitian Hamiltonians Having P T Symmetry journal June 1998
Statistical Mechanics of the Finite Heisenberg Model. I journal January 1970
Monomers and Dimers journal June 1970
Some properties of coherent spin states journal May 1971
Generalized Lee-Yang's Theorem journal November 1968
Rigorous Results for Ising Ferromagnets of Arbitrary Spin journal September 1969
Intermittency and dynamical Lee-Yang zeros of open quantum systems journal December 2014
Spin transfer torque devices utilizing the giant spin Hall effect of tungsten journal September 2012
Location of the zeros of the partition function for some classical lattice systems journal August 1970
Statistical Mechanics of Equilibrium and Nonequilibrium Phase Transitions: the Yang–Lee Formalism journal November 2005
Exact Solution for a Linear Chain of Isotropically Interacting Classical Spins of Arbitrary Dimensionality journal March 1969
Lee-Yang Zeros and Phase Transitions in Nonequilibrium Steady States journal August 2002
Generalization of the Lee-Yang Theorem journal December 1968
Theorems on Extended Ising Model with Applications to Dilute Ferromagnetism journal December 1968
PT-symmetric quantum mechanics journal May 1999
The semiclassical propagator for spin coherent states journal December 2000
Statistical Theory of Equations of State and Phase Transitions. I. Theory of Condensation journal August 1952
Statistical Mechanics of the Anisotropic Linear Heisenberg Model journal September 1962
On the Distribution of Zeros for the Heisenberg Model journal June 1969

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