Signature of Many-Body Localization of Phonons in Strongly Disordered Superlattices

Thanh Nguyen, Nina Andrejevic, Hoi Chun Po, Qichen Song, Yoichiro Tsurimaki, Nathan C. Drucker, Ahmet Alatas, Esen E. Alp, Bogdan M. Leu, Alessandro Cunsolo, Yong Q. Cai, Lijun Wu, Joseph A. Garlow, Yimei Zhu, Hong Lu, Arthur C. Gossard, Alexander A. Puretzky, David B. Geohegan, Shengxi Huang, Mingda Li

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

Many-body localization (MBL) has attracted significant attention because of its immunity to thermalization, role in logarithmic entanglement entropy growth, and opportunities to reach exotic quantum orders. However, experimental realization of MBL in solid-state systems has remained challenging. Here, we report evidence of a possible phonon MBL phase in disordered GaAs/AlAs superlattices. Through grazing-incidence inelastic X-ray scattering, we observe a strong deviation of the phonon population from equilibrium in samples doped with ErAs nanodots at low temperature, signaling a departure from thermalization. This behavior occurs within finite phonon energy and wavevector windows, suggesting a localization-thermalization crossover. We support our observation by proposing a theoretical model for the effective phonon Hamiltonian in disordered superlattices, and showing that it can be mapped exactly to a disordered 1D Bose-Hubbard model with a known MBL phase. Our work provides momentum-resolved experimental evidence of phonon localization, extending the scope of MBL to disordered solid-state systems.

Original languageEnglish
Pages (from-to)7419-7425
Number of pages7
JournalNano Letters
Volume21
Issue number17
DOIs
StatePublished - Sep 8 2021

Funding

The authors thank R. Nandkishore and P. Cappellaro for helpful discussions. T.N., N.A., N.C.D., and M.L. acknowledge the support from U.S. Department of Energy (DOE), Office of Science, Basic Energy Sciences (BES), award DE-SC0020148. N.A. acknowledges the support of the National Science Foundation Graduate Research Fellowship Program under Grant 1122374. M.L. acknowledges support from Norman C. Rasmussen Career Development Chair. S.H. acknowledges the support from the National Science Foundation under grant number ECCS-1943895. H.C.P. is supported by a Pappalardo Fellowship at MIT and a Croucher Foundation Fellowship. Work of Q.S. and Y.T. was supported by Solid State Solar-Thermal Energy Conversion Center (S3TEC), an Energy Frontier Research Center funded by the U.S. Department of Energy, Office of Science, Basic Energy Sciences, award DE-SC0001299 (prior to January 2019). Y.Q.C., L.W., J.G., and Y.Z. acknowledge the support from DOE/BES, the Materials Science and Engineering Divisions, under Contract DE-SC0012704. This research used resources of the Advanced Photon Source, a U.S. DOE Office of Science User Facility operated for the DOE Office of Science by Argonne National Laboratory, under Contract DE-AC02-06CH11357. Raman measurements were conducted at the Center for Nanophase Materials Sciences (CNMS), which is a DOE Office of Science User Facility.

FundersFunder number
National Science FoundationECCS-1943895
U.S. Department of Energy
Directorate for Education and Human Resources1122374
Office of Science
Basic Energy SciencesDE-SC0020148
Argonne National LaboratoryDE-AC02-06CH11357
Massachusetts Institute of Technology
Division of Materials Sciences and EngineeringDE-SC0012704
Solid-State Solar Thermal Energy Conversion, Massachusetts Institute of TechnologyDE-SC0001299
Croucher Foundation

    Keywords

    • Bose-Hubbard model
    • X-ray scattering
    • many-body localization
    • phonon
    • superlattice

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