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Each Landau level is degenerate because of the second quantum number , which can take the values =, where is an integer. The allowed values of N {\displaystyle N} are further restricted by the condition that the center of force of the oscillator, x 0 {\displaystyle x_{0}} , must physically lie within the system, 0 ≤ x 0 < L x {\displaystyle 0 ...
Graphene's Hall conductivity is = (+ /) /, where N is the Landau level and the double valley and double spin degeneracies give the factor of 4. [2] These anomalies are present not only at extremely low temperatures but also at room temperature, i.e. at roughly 20 °C (293 K).
Scattering by graphene's acoustic phonons intrinsically limits room temperature mobility to 200 000 cm 2 ⋅V −1 ⋅s −1 at a carrier density of 10 12 cm −2, [12] [13] 10 × 10 6 times greater than copper. [14] The corresponding resistivity of graphene sheets would be 10 −6 Ω⋅cm.
English: Landau levels in graphene appear at energies proportional to √N, in contrast to the standard sequence that goes as N+½. After Geim and Novoselov arXiv:cond-mat/0702595 After Geim and Novoselov arXiv:cond-mat/0702595
Fermi liquid theory (also known as Landau's Fermi-liquid theory) is a theoretical model of interacting fermions that describes the normal state of the conduction electrons in most metals at sufficiently low temperatures. [1] The theory describes the behavior of many-body systems of particles in which the interactions between particles may be ...
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