Hall Effect in Quasicrystals

来源 :Wuhan University Journal of Natural Sciences | 被引量 : 0次 | 上传用户:sss03157017633
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The relations between Hall effect and symmetry are discussed for all 2| and 3|dimensional quasicrystals with crystallographically forbidden symmetries. The results show that the numbers of independent components of the Hall coefficient ( R H ) are one for 3|dimensional quasicrystals, two for those 2|dimensional quasicrystals whose symmetry group is non|Abelian, and three for those 2|dimensional quasicrystals whose symmetry group is Abelian, respectively. The quasicrystals with the same number of independent components have the same form of the components of R H . The relations between Hall effect and symmetry are discussed for all 2 | and 3 | dimensional quasicrystals with crystallographically forbidden symmetries. The results show that numbers of independent components of the Hall coefficient (RH) are one for 3 | dimensional quasicrystals, two for those 2 | dimensional quasicrystals whose symmetry group is non | Abelian, and three for those 2 | dimensional quasicrystals whose symmetry group is Abelian, respectively. The quasicrystals with the same number of independent components have the same form of the components of RH.
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