{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,4]],"date-time":"2026-08-04T00:19:51Z","timestamp":1785802791249,"version":"3.56.0"},"reference-count":39,"publisher":"IOP Publishing","issue":"5","license":[{"start":{"date-parts":[[2019,11,1]],"date-time":"2019-11-01T00:00:00Z","timestamp":1572566400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/publishingsupport.iopscience.iop.org\/iop-standard\/v1"},{"start":{"date-parts":[[2019,11,1]],"date-time":"2019-11-01T00:00:00Z","timestamp":1572566400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/iopscience.iop.org\/info\/page\/text-and-data-mining"}],"funder":[{"name":"National Science Foundation","award":["NSF-DMR 09-06921"],"award-info":[{"award-number":["NSF-DMR 09-06921"]}]}],"content-domain":{"domain":["iopscience.iop.org"],"crossmark-restriction":false},"short-container-title":["J. Phys.: Condens. Matter"],"published-print":{"date-parts":[[2020,1,30]]},"abstract":"<jats:title>Abstract<\/jats:title>\n                  <jats:p>\n                    Tunneling-two-level-system model (TTLS model) has successfully explained several universal properties of amorphous solids at low temperatures. The experimentalists found that the ratios of TTLS-phonon coupling constants\n                    <jats:inline-formula\/>\n                    lie between 1.44 and 1.84 among 16 different amorphous solids, which turns out to be a universal quantity (Berret and Meissner 1988\n                    <jats:italic>Z. Phys<\/jats:italic>\n                    . B\n                    <jats:bold>70<\/jats:bold>\n                    65). However, this universal property remains unexplained. Based on the model introduced by Vural and Leggett (2011\n                    <jats:italic>J. Non-Cryst. Solids<\/jats:italic>\n                    <jats:bold>357<\/jats:bold>\n                    3528) and real space renormalization, we demonstrate that\n                    <jats:inline-formula\/>\n                    equals to\n                    <jats:inline-formula\/>\n                    , where\n                    <jats:italic>c<\/jats:italic>\n                    <jats:sub>\n                      <jats:italic>l<\/jats:italic>\n                    <\/jats:sub>\n                    and\n                    <jats:italic>c<\/jats:italic>\n                    <jats:sub>\n                      <jats:italic>t<\/jats:italic>\n                    <\/jats:sub>\n                    are longitudinal and transverse sound velocities, respectively. In this paper, we reveal that this universal quantity\n                    <jats:inline-formula\/>\n                    essentially comes from the mutual interactions between elementary blocks of amorphous solids, and is insensitive to the microscopic material properties. In the appendix, we also make corrections to the many-body interaction of low-temperature amorphous solids derived by Joffrin and Levelut (1975\n                    <jats:italic>J. Physique<\/jats:italic>\n                    <jats:bold>36<\/jats:bold>\n                    811).\n                  <\/jats:p>","DOI":"10.1088\/1361-648x\/ab4e5b","type":"journal-article","created":{"date-parts":[[2019,11,1]],"date-time":"2019-11-01T10:16:46Z","timestamp":1572603406000},"page":"055704","update-policy":"https:\/\/doi.org\/10.1088\/crossmark-policy","source":"Crossref","is-referenced-by-count":4,"title":["Universal ratio of TTLS-phonon coupling constants in low-temperature amorphous solids"],"prefix":"10.1088","volume":"32","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-8855-5478","authenticated-orcid":false,"given":"Di","family":"Zhou","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"266","published-online":{"date-parts":[[2019,11,1]]},"reference":[{"key":"cmab4e5bbib001","doi-asserted-by":"publisher","first-page":"65","DOI":"10.1007\/BF01320540","type":"journal-article","volume":"70","author":"Berret","year":"1988","journal-title":"Z. 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All rights, including for text and data mining, AI training, and similar technologies, are reserved.","name":"copyright_information","label":"Copyright Information"},{"value":"2019-07-23","name":"date_received","label":"Date Received","group":{"name":"publication_dates","label":"Publication dates"}},{"value":"2019-10-16","name":"date_accepted","label":"Date Accepted","group":{"name":"publication_dates","label":"Publication dates"}},{"value":"2019-11-01","name":"date_epub","label":"Online publication date","group":{"name":"publication_dates","label":"Publication dates"}}]}}