URu2Si2: hidden order and amplitude of quantum oscillations

It is shown that the hidden ordered (HO) state in heavy fermionic metal URu2Si2 is either nonconventional charge density wave (CDW) or antiferroelectric (AFE) commensurate ordering. Similar to antiferromagnetic (AF) order an antiferroelectric order creates momentum dependence of conducting electrons $g$-factor. This even modest anisotropy along with the anisotropy of heavy cyclotron mass can produce multiple effect of so called zero-spin splitting in the amplitude of the de Haas - van Alphen and the Shubnikov - de Haas signals as function of direction of magnetic field.

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