Anderson Localization of Thermal Phonons Leads to a Thermal Conductivity Maximum

Mendoza, Jonathan; Chen, Gang

doi:10.1021/acs.nanolett.6b03550

Anderson Localization of Thermal Phonons Leads to a Thermal Conductivity Maximum

Journal Article · Mon Dec 05 00:00:00 EST 2016 · Nano Letters

DOI:https://doi.org/10.1021/acs.nanolett.6b03550· OSTI ID:1388424

^[1]; Chen, Gang ^[1]

Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

Our elastic model of ErAs disordered GaAs/AlAs superlattices exhibits a local thermal conductivity maximum as a function of length due to exponentially suppressed Anderson-localized phonons. By analyzing the sample-to-sample fluctuations in the dimensionless conductance, g, the transition from diffusive to localized transport is identified as the crossover from the multichannel to single-channel transport regime g ≈ 1. Single parameter scaling is shown to hold in this crossover regime through the universality of the probability distribution of g that is independent of system size and disorder strength.

View Accepted Manuscript (DOE)

Research Organization:: Energy Frontier Research Centers (EFRC) (United States). Solid-State Solar-Thermal Energy Conversion Center (S3TEC)

Sponsoring Organization:: USDOE SC Office of Basic Energy Sciences (SC-22)

Grant/Contract Number:: SC0001299

OSTI ID:: 1388424

Journal Information:: Nano Letters, Journal Name: Nano Letters Journal Issue: 12 Vol. 16; ISSN 1530-6984

Publisher:: American Chemical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

References (34)

Macroscopic approach to multichannel disordered conductors Mello, P. A.; Pereyra, P.; Kumar, N. Annals of Physics, Vol. 181, Issue 2 https://doi.org/10.1016/0003-4916(88)90169-8	journal	February 1988
Classical localization Economou, E. N. Physica A: Statistical Mechanics and its Applications, Vol. 167, Issue 1 https://doi.org/10.1016/0378-4371(90)90054-V	journal	August 1990
Electronic Transport in Mesoscopic Systems Datta, Supriyo Cambridge University Press https://doi.org/10.1017/CBO9780511805776	book	January 2013
The single-channel regime of transport through random media Peña, A.; Girschik, A.; Libisch, F. Nature Communications, Vol. 5, Issue 1 https://doi.org/10.1038/ncomms4488	journal	March 2014
Nanoscale thermal transport Cahill, David G.; Ford, Wayne K.; Goodson, Kenneth E. Journal of Applied Physics, Vol. 93, Issue 2, p. 793-818 https://doi.org/10.1063/1.1524305	journal	January 2003
Nanoscale thermal transport. II. 2003–2012 Cahill, David G.; Braun, Paul V.; Chen, Gang Applied Physics Reviews, Vol. 1, Issue 1 https://doi.org/10.1063/1.4832615	journal	March 2014
An ab initio study of multiple phonon scattering resonances in silicon germanium alloys Mendoza, Jonathan; Esfarjani, Keivan; Chen, Gang Journal of Applied Physics, Vol. 117, Issue 17 https://doi.org/10.1063/1.4919661	journal	May 2015
The Atomistic Green's Function Method: An Efficient Simulation Approach for Nanoscale Phonon Transport Zhang, W.; Fisher, T. S.; Mingo, N. Numerical Heat Transfer, Part B: Fundamentals, Vol. 51, Issue 4 https://doi.org/10.1080/10407790601144755	journal	March 2007
Quick iterative scheme for the calculation of transfer matrices: application to Mo (100) Sancho, M. P. Lopez; Sancho, J. M. Lopez; Rubio, J. Journal of Physics F: Metal Physics, Vol. 14, Issue 5 https://doi.org/10.1088/0305-4608/14/5/016	journal	May 1984
Universality classes and fluctuations in disordered systems Pendry, John Brian; MacKinnon, A.; Roberts, P. J. Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences, Vol. 437, Issue 1899, p. 67-83 https://doi.org/10.1098/rspa.1992.0047	journal	April 1992
Absence of Diffusion in Certain Random Lattices Anderson, P. W. Physical Review, Vol. 109, Issue 5 https://doi.org/10.1103/PhysRev.109.1492	journal	March 1958
New method for a scaling theory of localization Anderson, P. W.; Thouless, D. J.; Abrahams, E. Physical Review B, Vol. 22, Issue 8 https://doi.org/10.1103/PhysRevB.22.3519	journal	October 1980
Relation between conductivity and transmission matrix Fisher, Daniel S.; Lee, Patrick A. Physical Review B, Vol. 23, Issue 12 https://doi.org/10.1103/PhysRevB.23.6851	journal	June 1981
Localization of acoustic waves Kirkpatrick, T. R. Physical Review B, Vol. 31, Issue 9 https://doi.org/10.1103/PhysRevB.31.5746	journal	May 1985
Generalized many-channel conductance formula with application to small rings Büttiker, M.; Imry, Y.; Landauer, R. Physical Review B, Vol. 31, Issue 10 https://doi.org/10.1103/PhysRevB.31.6207	journal	May 1985
Role of quantum coherence in series resistors Büttiker, M. Physical Review B, Vol. 33, Issue 5 https://doi.org/10.1103/PhysRevB.33.3020	journal	March 1986
Single-parameter scaling in one-dimensional Anderson localization: Exact analytical solution Deych, Lev I.; Lisyansky, A. A.; Altshuler, B. L. Physical Review B, Vol. 64, Issue 22 https://doi.org/10.1103/PhysRevB.64.224202	journal	November 2001
Spin and molecular electronics in atomically generated orbital landscapes Rocha, A. R.; García-Suárez, V. M.; Bailey, S. Physical Review B, Vol. 73, Issue 8 https://doi.org/10.1103/PhysRevB.73.085414	journal	February 2006
Quantum transport length scales in silicon-based semiconducting nanowires: Surface roughness effects Lherbier, Aurélien; Persson, Martin P.; Niquet, Yann-Michel Physical Review B, Vol. 77, Issue 8 https://doi.org/10.1103/PhysRevB.77.085301	journal	February 2008
Phonon Transport in Isotope-Disordered Carbon and Boron-Nitride Nanotubes: Is Localization Observable? Savić, Ivana; Mingo, Natalio; Stewart, Derek A. Physical Review Letters, Vol. 101, Issue 16 https://doi.org/10.1103/PhysRevLett.101.165502	journal	October 2008
Universality and Diversity in a Phonon-Transmission Histogram of Isotope-Disordered Carbon Nanotubes Yamamoto, Takahiro; Sasaoka, Kenji; Watanabe, Satoshi Physical Review Letters, Vol. 106, Issue 21 https://doi.org/10.1103/PhysRevLett.106.215503	journal	May 2011
Maximum Metallic Resistance in Thin Wires Thouless, D. J. Physical Review Letters, Vol. 39, Issue 18 https://doi.org/10.1103/PhysRevLett.39.1167	journal	October 1977
Scaling Theory of Localization: Absence of Quantum Diffusion in Two Dimensions Abrahams, E.; Anderson, P. W.; Licciardello, D. C. Physical Review Letters, Vol. 42, Issue 10 https://doi.org/10.1103/PhysRevLett.42.673	journal	March 1979
Universal Conductance Fluctuations in Metals Lee, P. A.; Stone, A. Douglas Physical Review Letters, Vol. 55, Issue 15 https://doi.org/10.1103/PhysRevLett.55.1622	journal	October 1985
Scalar-Wave Localization in a Two-Component Composite Sheng, Ping; Zhang, Zhao-Qing Physical Review Letters, Vol. 57, Issue 15 https://doi.org/10.1103/PhysRevLett.57.1879	journal	October 1986
Strong localization of photons in certain disordered dielectric superlattices John, Sajeev Physical Review Letters, Vol. 58, Issue 23 https://doi.org/10.1103/PhysRevLett.58.2486	journal	June 1987
Single Parameter Scaling in One-Dimensional Localization Revisited Deych, Lev I.; Lisyansky, A. A.; Altshuler, B. L. Physical Review Letters, Vol. 84, Issue 12 https://doi.org/10.1103/PhysRevLett.84.2678	journal	March 2000
Reconciling Conductance Fluctuations and the Scaling Theory of Localization Slevin, Keith; Markoš, Peter; Ohtsuki, Tomi Physical Review Letters, Vol. 86, Issue 16 https://doi.org/10.1103/PhysRevLett.86.3594	journal	April 2001
Random-matrix theory of quantum transport Beenakker, C. W. J. Reviews of Modern Physics, Vol. 69, Issue 3 https://doi.org/10.1103/RevModPhys.69.731	journal	July 1997
Phonons and related crystal properties from density-functional perturbation theory Baroni, Stefano; de Gironcoli, Stefano; Dal Corso, Andrea Reviews of Modern Physics, Vol. 73, Issue 2 https://doi.org/10.1103/RevModPhys.73.515	journal	July 2001
Coherent Phonon Heat Conduction in Superlattices Luckyanova, M. N.; Garg, J.; Esfarjani, K. Science, Vol. 338, Issue 6109 https://doi.org/10.1126/science.1225549	journal	November 2012
Active Transmission Channels and Universal Conductance Fluctuations Imry, Y. Europhysics Letters (EPL), Vol. 1, Issue 5 https://doi.org/10.1209/0295-5075/1/5/008	journal	March 1986
Nonanalyticity in the distribution of conductances in quasi–one-dimensional wires Muttalib, K. A.; Wölfle, P.; García-Martín, A. Europhysics Letters (EPL), Vol. 61, Issue 1 https://doi.org/10.1209/epl/i2003-00254-x	journal	January 2003
Numerical analysis of the Anderson localization Markoš, P. Acta Physica Slovaca. Reviews and Tutorials, Vol. 56, Issue 5 https://doi.org/10.2478/v10155-010-0081-0	journal	October 2006

Cited By (11)

Supersonic propagation of lattice energy by phasons in fresnoite Manley, M. E.; Stonaha, P. J.; Abernathy, D. L. Nature Communications, Vol. 9, Issue 1 https://doi.org/10.1038/s41467-018-04229-1	journal	May 2018
Intrinsic anharmonic localization in thermoelectric PbSe Manley, M. E.; Hellman, O.; Shulumba, N. Nature Communications, Vol. 10, Issue 1 https://doi.org/10.1038/s41467-019-09921-4	journal	April 2019
A Novel Way to Enhance the Thermoelectric Efficiency of Carbon Nanotube through Cobaltocene‐decamethyl Cobaltocene Encapsulation Koley, Sayantanu; Sen, Sabyasachi; Chakrabarti, Swapan ChemistrySelect, Vol. 5, Issue 4 https://doi.org/10.1002/slct.201904866	journal	January 2020
First-principles Modeling of Thermal Transport in Materials: Achievements, Opportunities, and Challenges Ma, Tengfei; Chakraborty, Pranay; Guo, Xixi International Journal of Thermophysics, Vol. 41, Issue 1 https://doi.org/10.1007/s10765-019-2583-4	journal	December 2019
Disorder limits the coherent phonon transport in two-dimensional phononic crystal structures Hu, Shiqian; Zhang, Zhongwei; Jiang, Pengfei Nanoscale, Vol. 11, Issue 24 https://doi.org/10.1039/c9nr02548k	journal	January 2019
Towards ultimate impedance of phonon transport by nanostructure interface Ohnishi, Masato; Shiomi, Junichiro APL Materials, Vol. 7, Issue 1 https://doi.org/10.1063/1.5055570	journal	January 2019
Study of dephasing mechanisms on the potential profile of a nanowire FET Sarkar, Niladri Engineering Research Express, Vol. 1, Issue 2 https://doi.org/10.1088/2631-8695/ab50e5	journal	November 2019
Mode-conversion effects of phonons on Anderson localization Yoshihiro, Tatsuya; Nishiguchi, Norihiko Physical Review B, Vol. 100, Issue 23 https://doi.org/10.1103/physrevb.100.235441	journal	December 2019
Anderson Localization Quenches Thermal Transport in Aperiodic Superlattices Juntunen, Taneli; Vänskä, Osmo; Tittonen, Ilkka Physical Review Letters, Vol. 122, Issue 10 https://doi.org/10.1103/physrevlett.122.105901	journal	March 2019
Machine-learning-based interatomic potential for phonon transport in perfect crystalline Si and crystalline Si with vacancies Babaei, Hasan; Guo, Ruiqiang; Hashemi, Amirreza Physical Review Materials, Vol. 3, Issue 7 https://doi.org/10.1103/physrevmaterials.3.074603	journal	July 2019
Phonon localization in heat conduction Luckyanova, M. N.; Mendoza, J.; Lu, H. Science Advances, Vol. 4, Issue 12 https://doi.org/10.1126/sciadv.aat9460	journal	December 2018

Similar Records

Phonon localization in heat conduction

Journal Article · Thu Dec 20 19:00:00 EST 2018 · Science Advances · OSTI ID:1491683

Related Subjects

42 ENGINEERING
charge transport
defects
materials and chemistry by design
mechanical behavior
optics
phonons
solar (photovoltaic)
solar (thermal)
solid state lighting
spin dynamics
synthesis (novel materials)
synthesis (scalable processing)
synthesis (self-assembly)
thermal conductivity
thermoelectric

Anderson Localization of Thermal Phonons Leads to a Thermal Conductivity Maximum

Citation Formats

References (34)

Cited By (11)

Similar Records

Related Subjects