Fractional quantum Hall effect in graphene
نویسنده
چکیده
The electrons in most of the conductors can be described by non-relativistic quantum mechanics but the electrons in graphene behave as massless relativistic particles, called Dirac fermions, though their speed is given by the Fermi velocity. The relativistic nature of the energy dispersion relation of electrons in graphene modifies the inter electron interactions. This results in the observation of a number of peculiar properties e.g. anomalous quantum Hall effect. We study the fractional quantum Hall effect (FQHE) in graphene. The quantized Hall conductivity in graphene in FQHE is shown to be:
منابع مشابه
Fractional quantum Hall effect in strained graphene: stability of Laughlin states in disordered (pseudo)magnetic fields
متن کامل
Measurement of the 1⁄4 1=3 Fractional Quantum Hall Energy Gap in Suspended Graphene
We report on magnetotransport measurements of multiterminal suspended graphene devices. Fully developed integer quantum Hall states appear in magnetic fields as low as 2 T. At higher fields the formation of longitudinal resistance minima and transverse resistance plateaus are seen corresponding to fractional quantum Hall states, most strongly for 1⁄4 1=3. By measuring the temperature dependence...
متن کاملFractional quantum Hall effect in suspended graphene: Transport coefficients and electron interaction strength
Citation Abanin, D. A. et al. " Fractional quantum Hall effect in suspended graphene: Transport coefficients and electron interaction strength. Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. The MIT Faculty has made this article openly available. Please share how this access benef...
متن کاملQuantum Hall effect in graphene: Status and prospects
Graphene is the recently discovered two-dimensional (2D) one atom thick allotrope of carbon. Electrons in graphene, obeying a linear dispersion relation, behave like massless relativistic particles. It is a 2D nanomaterial with many peculiar properties. It is the thinnest material in the universe and the strongest ever measured. Its charge carriers exhibit intrinsic mobility and can travel micr...
متن کاملTheoretical expectations for a fractional quantum Hall effect in graphene
Due to its fourfold spin-valley degeneracy, graphene in a strong magnetic field may be viewed as a four-component quantum Hall system. We investigate the consequences of this particular structure on a possible, yet unobserved, fractional quantum Hall effect in graphene within a trial-wavefunction approach and exact-diagonalisation calculations. This trial-wavefunction approach generalises an or...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2009