Abstract:a b s t r a c tWe have investigated shot noise at microwave frequencies in wide-aspect-ratio graphene sheets in the temperature range of 4.2-30 K. We find that for our short (L < 300 nm) graphene samples with width over length ratio W /L > 3, the Fano factor F reaches a maximum F ∼ 1/3 at the Dirac point and that it decreases substantially with increasing charge density. Our results agree with the theoretical prediction that electrical transport at the Dirac point is governed by evanescent electronic states.
“…Graphene also exhibits pronounced mesoscopic [9][10][11][12][13] effects -including weak localization (WL) [14][15][16][17][18][19], conductance fluctuations (CF) [20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38], and quantum noise [39][40][41][42][43] -with much richer characteristics than their counterparts in non-Dirac materials [9][10][11][12][13]. Most notably, while the CF in dirty metals and semiconductors are known to exhibit specific universal properties, recent studies [24,25,30,35] suggest that this universality may not extend to graphene.…”
We show a dramatic deviation from ergodicity for the conductance fluctuations in graphene. In marked contrast to the ergodicity of dirty metals, fluctuations generated by varying magnetic field are shown to be much smaller than those obtained when sweeping Fermi energy. They also exhibit a strongly anisotropic response to the symmetry-breaking effects of a magnetic field, when applied perpendicular or parallel to the graphene plane. These results reveal a complex picture of quantum interference in graphene, whose description appears more challenging than for conventional mesoscopic systems.
“…15 An active area of investigation is the level of shot noise suppression due to quantum and Coulomb interactions in mesoscopic electronic structures carrying "2D" or, more recently, "1D" currents. [16][17][18] Contrary to the case of electrons, quantum correlations among photons (which are bosons) can lead to an enhancement of shot-noise-like fluctuations exceeding the level predicted by Eq. (20), a phenomenon informally known as "photon bunching."…”
Section: B Limitations Of the Shot Noise Formulamentioning
A formula for shot-noise is derived in the frequency-domain. The derivation is complete and reasonably rigorous while being appropriate for undergraduate students; it models a sequence of random pulses using Fourier sine and cosine series, and requires some basic statistical concepts. The text here may serve as a pedagogic introduction to the spectral analysis of random processes and may prove useful to introduce students to the logic behind stochastic problems. The concepts of noise power spectral density and equivalent noise bandwidth are introduced.
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