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

Title: Relaxation of nonequilibrium populations after a pump: the breaking of Mathiessen's rule

Journal Article · · Proceedings of SPIE - The International Society for Optical Engineering
DOI:https://doi.org/10.1117/12.2261872· OSTI ID:1783722
 [1];  [2];  [2]
  1. Georgetown Univ., Washington, DC (United States)
  2. North Carolina State Univ., Raleigh, NC (United States)

From the early days of many-body physics, it was realized that the self-energy governs the relaxation or lifetime of the retarded Green’s function. So it seems reasonable to directly extend those results into the nonequilibrium domain. But experiments and calculations of the response of quantum materials to a pump show that the relationship between the relaxation and the self-energy only holds in special cases. Experimentally, the decay time for a population to relax back to equilibrium and the linewidth measured in a linear-response angle-resolved photoemission spectroscopy differ by large amounts. Theoretically, aside from the weak-coupling regime where the relationship holds, one also finds deviations and additionally one sees violations of Mathiessen’s rule. In this study, we examine whether looking at an effective transport relaxation time helps to analyze the decay times of excited populations as they relax back to equilibrium. We conclude that it may do a little better, but it has a fitting parameter for the overall scale which must be determined.

Research Organization:
Georgetown Univ., Washington, DC (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division
Grant/Contract Number:
FG02-08ER46542; AC02-05CH11231
OSTI ID:
1783722
Journal Information:
Proceedings of SPIE - The International Society for Optical Engineering, Vol. 10193; ISSN 0277-786X
Publisher:
SPIECopyright Statement
Country of Publication:
United States
Language:
English

References (14)

Nonequilibrium Dynamical Mean-Field Theory journal December 2006
Effect of dynamical spectral weight redistribution on effective interactions in time-resolved spectroscopy journal August 2014
Transport functions for hypercubic and Bethe lattices journal November 2013
Relationship between Population Dynamics and the Self-Energy in Driven Non-Equilibrium Systems journal May 2016
Energy dissipation from a correlated system driven out of equilibrium journal December 2016
Theoretical Description of Time-Resolved Photoemission Spectroscopy: Application to Pump-Probe Experiments journal March 2009
Inequivalence of Single-Particle and Population Lifetimes in a Cuprate Superconductor journal June 2015
The role of average time dependence on the relaxation of excited electron populations in nonequilibrium many-body physics: The role of average time dependence on the relaxation journal August 2016
Nonlinear response of Bloch electrons in infinite dimensions journal February 2005
Transport in Mutlilayered Nanostructures journal May 2016
Nodal quasiparticle meltdown in ultrahigh-resolution pump–probe angle-resolved photoemission journal July 2011
Quenching Bloch oscillations in a strongly correlated material: Nonequilibrium dynamical mean-field theory journal February 2008
Electrical conductivity in the infinite-dimensional Hubbard model journal April 1990
Nonequilibrium Many-Body Theory of Quantum Systems book March 2013