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Dualities and non-Abelian mechanics 期刊论文
NATURE, 2020, 577 (7792) : 636-+
作者:  Song, Xinyang;  Sun, Ximei;  Oh, Sungwhan F.;  Wu, Meng;  Zhang, Yanbo;  Zheng, Wen;  Geva-Zatorsky, Naama;  Jupp, Ray;  Mathis, Diane;  Benoist, Christophe;  Kasper, Dennis L.
收藏  |  浏览/下载:13/0  |  提交时间:2020/07/03

Dualities-mathematical mappings between different systems-can act as hidden symmetries that enable materials design beyond that suggested by crystallographic space groups.


Dualities are mathematical mappings that reveal links between apparently unrelated systems in virtually every branch of physics(1-8). Systems mapped onto themselves by a duality transformation are called self-dual and exhibit remarkable properties, as exemplified by the scale invariance of an Ising magnet at the critical point. Here we show how dualities can enhance the symmetries of a dynamical matrix (or Hamiltonian), enabling the design of metamaterials with emergent properties that escape a standard group theory analysis. As an illustration, we consider twisted kagome lattices(9-15), reconfigurable mechanical structures that change shape by means of a collapse mechanism(9). We observe that pairs of distinct configurations along the mechanism exhibit the same vibrational spectrum and related elastic moduli. We show that these puzzling properties arise from a duality between pairs of configurations on either side of a mechanical critical point. The critical point corresponds to a self-dual structure with isotropic elasticity even in the absence of spatial symmetries and a twofold-degenerate spectrum over the entire Brillouin zone. The spectral degeneracy originates from a version of Kramers'  theorem(16,17) in which fermionic time-reversal invariance is replaced by a hidden symmetry emerging at the self-dual point. The normal modes of the self-dual systems exhibit non-Abelian geometric phases(18,19) that affect the semiclassical propagation of wavepackets(20), leading to non-commuting mechanical responses. Our results hold promise for holonomic computation(21) and mechanical spintronics by allowing on-the-fly manipulation of synthetic spins carried by phonons.


  
An orbital water-ice cycle on comet 67P from colour changes 期刊论文
NATURE, 2020, 578 (7793) : 49-+
作者:  Oh, Myoung Hwan;  Cho, Min Gee;  Chung, Dong Young;  Park, Inchul;  Kwon, Youngwook Paul;  Ophus, Colin;  Kim, Dokyoon;  Kim, Min Gyu;  Jeong, Beomgyun;  Gu, X. Wendy;  Jo, Jinwoung;  Yoo, Ji Mun;  Hong, Jaeyoung;  McMains, Sara;  Kang, Kisuk;  Sung, Yung-Eun;  Alivisatos, A. Paul;  Hyeon, Taeghwan
收藏  |  浏览/下载:52/0  |  提交时间:2020/07/03

Solar heating of a cometary surface provides the energy necessary to sustain gaseous activity, through which dust is removed(1,2). In this dynamical environment, both the coma(3,4) and the nucleus(5,6) evolve during the orbit, changing their physical and compositional properties. The environment around an active nucleus is populated by dust grains with complex and variegated shapes(7), lifted and diffused by gases freed from the sublimation of surface ices(8,9). The visible colour of dust particles is highly variable: carbonaceous organic material-rich grains(10) appear red while magnesium silicate-rich(11,12) and water-ice-rich(13,14) grains appear blue, with some dependence on grain size distribution, viewing geometry, activity level and comet family type. We know that local colour changes are associated with grain size variations, such as in the bluer jets made of submicrometre grains on comet Hale-Bopp(15) or in the fragmented grains in the coma(16) of C/1999 S4 (LINEAR). Apart from grain size, composition also influences the coma'  s colour response, because transparent volatiles can introduce a substantial blueing in scattered light, as observed in the dust particles ejected after the collision of the Deep Impact probe with comet 9P/Tempel 1(17). Here we report observations of two opposite seasonal colour cycles in the coma and on the surface of comet 67P/Churyumov-Gerasimenko through its perihelion passage(18). Spectral analysis indicates an enrichment of submicrometre grains made of organic material and amorphous carbon in the coma, causing reddening during the passage. At the same time, the progressive removal of dust from the nucleus causes the exposure of more pristine and bluish icy layers on the surface. Far from the Sun, we find that the abundance of water ice on the nucleus is reduced owing to redeposition of dust and dehydration of the surface layer while the coma becomes less red.