Crossover between Electron-Phonon and Boundary-Resistance Limits to Thermal Relaxation in Copper Films

doi:10.1103/PhysRevApplied.12.024051

Title: Crossover between Electron-Phonon and Boundary-Resistance Limits to Thermal Relaxation in Copper Films

Abstract

We observe a crossover from electron-phonon (e-ph) coupling limited energy relaxation to that governed by thermal boundary resistance (phonon-phonon coupling, ph-ph) in copper films at subkelvin temperatures. Our measurement yields a quantitative picture of heat currents, in terms of temperature dependences and magnitudes, in both e-ph and pp limited regimes, respectively. We show that by adding a third layer in between the copper film and the substrate, the thermal boundary resistance is increased fourfold, consistent with an assumed series connection of thermal resistances.

Authors:

^[1]; Saira, O. -P. ^[2]; Golubev, D. S. ^[1]; Pekola, J. P. ^[1]

Aalto Univ. (Finland)
California Inst. of Technology (CalTech), Pasadena, CA (United States); Brookhaven National Lab. (BNL), Upton, NY (United States)

Publication Date:: 2019-08-23

Research Org.:: Brookhaven National Lab. (BNL), Upton, NY (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Advanced Scientific Computing Research (SC-21)

OSTI Identifier:: 1593259

Report Number(s):: BNL-212426-2019-JAAM
Journal ID: ISSN 2331-7019; PRAHB2

Grant/Contract Number:: SC0012704

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review Applied

Additional Journal Information:: Journal Volume: 12; Journal Issue: 2; Journal ID: ISSN 2331-7019

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 77 NANOSCIENCE AND NANOTECHNOLOGY

Citation Formats


                    Wang, L. B., Saira, O. -P., Golubev, D. S., and Pekola, J. P. Crossover between Electron-Phonon and Boundary-Resistance Limits to Thermal Relaxation in Copper Films.  United States: N. p., 2019. 
        Web.  doi:10.1103/PhysRevApplied.12.024051.

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                    Wang, L. B., Saira, O. -P., Golubev, D. S., & Pekola, J. P. Crossover between Electron-Phonon and Boundary-Resistance Limits to Thermal Relaxation in Copper Films.  United States.  doi:10.1103/PhysRevApplied.12.024051.

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                    Wang, L. B., Saira, O. -P., Golubev, D. S., and Pekola, J. P. Fri .  
        "Crossover between Electron-Phonon and Boundary-Resistance Limits to Thermal Relaxation in Copper Films".  United States.  doi:10.1103/PhysRevApplied.12.024051.  https://www.osti.gov/servlets/purl/1593259.

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@article{osti_1593259,

  title        = {Crossover between Electron-Phonon and Boundary-Resistance Limits to Thermal Relaxation in Copper Films},

  author       = {Wang, L. B. and Saira, O. -P. and Golubev, D. S. and Pekola, J. P.},

  abstractNote = {We observe a crossover from electron-phonon (e-ph) coupling limited energy relaxation to that governed by thermal boundary resistance (phonon-phonon coupling, ph-ph) in copper films at subkelvin temperatures. Our measurement yields a quantitative picture of heat currents, in terms of temperature dependences and magnitudes, in both e-ph and pp limited regimes, respectively. We show that by adding a third layer in between the copper film and the substrate, the thermal boundary resistance is increased fourfold, consistent with an assumed series connection of thermal resistances.},

  doi          = {10.1103/PhysRevApplied.12.024051},

  journal      = {Physical Review Applied},

  number       = 2,

  volume       = 12,

  place        = {United States},

  year         = {2019},

  month        = {8}

}

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DOI: 10.1103/PhysRevApplied.12.024051

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Title: Crossover between Electron-Phonon and Boundary-Resistance Limits to Thermal Relaxation in Copper Films

Abstract

Citation Formats

Energy loss from hot electrons in a metal film journal, May 1993

Photon-Mediated Thermal Relaxation of Electrons in Nanostructures journal, July 2004

Opportunities for mesoscopics in thermometry and refrigeration: Physics and applications journal, March 2006

Direct Measurement of the Electron Energy Relaxation Dynamics in Metallic Wires journal, June 2016

Evidence for two-dimensional phonons in a thin metal film journal, October 1991

Relaxation of a two-dimensional electron gas in semiconductor thin films at low temperatures: Role of acoustic phonon confinement journal, May 2002

Hot electrons in low-dimensional phonon systems journal, December 2005

Influence of Phonon Dimensionality on Electron Energy Relaxation journal, October 2007

Measurement of the quantum of thermal conductance journal, April 2000

Quantum Thermal Conductance of Electrons in a One-Dimensional Wire journal, August 2006

Single-mode heat conduction by photons journal, November 2006

Quantum Limit of Heat Flow Across a Single Electronic Channel journal, October 2013

Quantum-limited heat conduction over macroscopic distances journal, February 2016

Heat conduction measurements in ballistic 1D phonon waveguides indicate breakdown of the thermal conductance quantization journal, October 2018

Calorimetric measurement of work in a quantum system journal, November 2013

Normal metal-superconductor decoupling as a source of thermal fluctuation noise in transition-edge sensors journal, August 2012

Macroscale refrigeration by nanoscale electron transport journal, February 2013

Role of phonon dimensionality on electron-phonon scattering rates journal, February 1992

Electron-phonon interaction in disordered conductors: Static and vibrating scattering potentials journal, March 2000

Insensitivity of Sub-Kelvin Electron-Phonon Coupling to Substrate Properties journal, December 2011

Thermal boundary resistance journal, July 1989

Hot-electron effects in metals journal, March 1994

Fast thermometry with a proximity Josephson junction journal, January 2018

Influence of Temperature Gradients on Tunnel Junction Thermometry below 1 K: Cooling and Electron–Phonon Coupling journal, July 2007

Hot electrons and energy transport in metals at millikelvin temperatures journal, July 1985

Electron Thermalization in Metallic Islands Probed by Coulomb Blockade Thermometry journal, January 2004

Electron and Phonon Cooling in a Superconductor–Normal-Metal–Superconductor Tunnel Junction journal, July 2007

Existence of an independent phonon bath in a quantum device journal, September 2013

Quadratic temperature dependence of the electron-phonon scattering rate in disordered metals journal, August 1999

Millisecond electron–phonon relaxation in ultrathin disordered metal films at millikelvin temperatures journal, September 2001

Observation of disorder-induced weakening of electron-phonon interaction in thin noble-metal films journal, July 2005

Improving the performance of hot-electron bolometers and solid state coolers with disordered alloys journal, October 2006

Ultralow Thermal Conductivity of Multilayers with Highly Dissimilar Debye Temperatures journal, April 2014

Phonon Dominated Heat Conduction Normal to Mo/Si Multilayers with Period below 10 nm journal, May 2012

Energy loss from hot electrons in a metal film
journal, May 1993

Photon-Mediated Thermal Relaxation of Electrons in Nanostructures
journal, July 2004

Opportunities for mesoscopics in thermometry and refrigeration: Physics and applications
journal, March 2006

Direct Measurement of the Electron Energy Relaxation Dynamics in Metallic Wires
journal, June 2016

Evidence for two-dimensional phonons in a thin metal film
journal, October 1991

Relaxation of a two-dimensional electron gas in semiconductor thin films at low temperatures: Role of acoustic phonon confinement
journal, May 2002

Hot electrons in low-dimensional phonon systems
journal, December 2005

Influence of Phonon Dimensionality on Electron Energy Relaxation
journal, October 2007

Measurement of the quantum of thermal conductance
journal, April 2000

Quantum Thermal Conductance of Electrons in a One-Dimensional Wire
journal, August 2006

Single-mode heat conduction by photons
journal, November 2006

Quantum Limit of Heat Flow Across a Single Electronic Channel
journal, October 2013

Quantum-limited heat conduction over macroscopic distances
journal, February 2016

Heat conduction measurements in ballistic 1D phonon waveguides indicate breakdown of the thermal conductance quantization
journal, October 2018

Calorimetric measurement of work in a quantum system
journal, November 2013

Normal metal-superconductor decoupling as a source of thermal fluctuation noise in transition-edge sensors
journal, August 2012

Macroscale refrigeration by nanoscale electron transport
journal, February 2013

Role of phonon dimensionality on electron-phonon scattering rates
journal, February 1992

Electron-phonon interaction in disordered conductors: Static and vibrating scattering potentials
journal, March 2000

Insensitivity of Sub-Kelvin Electron-Phonon Coupling to Substrate Properties
journal, December 2011

Thermal boundary resistance
journal, July 1989

Hot-electron effects in metals
journal, March 1994

Fast thermometry with a proximity Josephson junction
journal, January 2018

Influence of Temperature Gradients on Tunnel Junction Thermometry below 1 K: Cooling and Electron–Phonon Coupling
journal, July 2007

Hot electrons and energy transport in metals at millikelvin temperatures
journal, July 1985

Electron Thermalization in Metallic Islands Probed by Coulomb Blockade Thermometry
journal, January 2004

Electron and Phonon Cooling in a Superconductor–Normal-Metal–Superconductor Tunnel Junction
journal, July 2007

Existence of an independent phonon bath in a quantum device
journal, September 2013

Quadratic temperature dependence of the electron-phonon scattering rate in disordered metals
journal, August 1999

Millisecond electron–phonon relaxation in ultrathin disordered metal films at millikelvin temperatures
journal, September 2001

Observation of disorder-induced weakening of electron-phonon interaction in thin noble-metal films
journal, July 2005

Improving the performance of hot-electron bolometers and solid state coolers with disordered alloys
journal, October 2006

Ultralow Thermal Conductivity of Multilayers with Highly Dissimilar Debye Temperatures
journal, April 2014

Phonon Dominated Heat Conduction Normal to Mo/Si Multilayers with Period below 10 nm
journal, May 2012