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Vacancy-induced low-energy states in undoped graphene

Sanyal, Sambuddha and Damle, Kedar and Motrunich, Olexei I. (2016) Vacancy-induced low-energy states in undoped graphene. Physical Review Letters, 117 (11). Art. No. 116806. ISSN 0031-9007. doi:10.1103/PhysRevLett.117.116806.

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We demonstrate that a nonzero concentration nv of static, randomly placed vacancies in graphene leads to a density w of zero-energy quasiparticle states at the band center ε=0 within a tight-binding description with nearest-neighbor hopping t on the honeycomb lattice. We show that wremains generically nonzero in the compensated case (exactly equal number of vacancies on the two sublattices) even in the presence of hopping disorder and depends sensitively on nv and correlations between vacancy positions. For low, but not-too-low, |ε|/t in this compensated case, we show that the density of states ρ(ε) exhibits a strong divergence of the form ρ_(Dyson)(ε)∼|ε|^(-1)/[log(t/|ε|)]^((y+1)), which crosses over to the universal low-energy asymptotic form (modified Gade-Wegner scaling) expected on symmetry grounds ρ_(GW)(ε)∼|ε|^(-1)e^(-b[log(t/|ε|)]2/3) below a crossover scale ε_c≪t. ε_c is found to decrease rapidly with decreasing nv, while y decreases much more slowly.

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Motrunich, Olexei I.0000-0001-8031-0022
Additional Information:© 2016 American Physical Society. Received 2 September 2015; published 9 September 2016. We thank M. Barma and D. Dhar for useful comments on a previous draft and gratefully acknowledge use of computational resources funded by DST (India) Grant No. DST-SR/S2/RJN-25/2006, in addition to departmental computational resources of the Department of Theoretical Physics of the TIFR. K. D. and O. I. M. gratefully acknowledge the hospitality of ICTS-TIFR (Bengaluru) and IISc (Bengaluru) during the completion of part of this work. S. S. gratefully acknowledges funding from DST (India) and DAE -SRC (India) and support from IISc (Bengaluru) during completion of part of this work. O. I. M. also acknowledges support by the NSF through Grant No. DMR-1206096.
Group:Institute for Quantum Information and Matter
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Department of Science and Technology (India)DST-SR/S2/RJN-25/2006
Department of Atomic Energy (India)UNSPECIFIED
Issue or Number:11
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Official Citation:Vacancy-Induced Low-Energy States in Undoped Graphene Sambuddha Sanyal, Kedar Damle, and Olexei I. Motrunich Phys. Rev. Lett. 117, 116806
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:68559
Deposited By: Jacquelyn O'Sullivan
Deposited On:23 Jun 2016 21:51
Last Modified:11 Nov 2021 04:01

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