Quasiparticle interference patterns in bilayer graphene with trigonal warping

被引:7
作者
Kaladzhyan, Vardan [1 ]
Joucken, Frederic [2 ]
Ge, Zhehao [2 ]
Quezada-Lopez, Eberth A. [2 ]
Taniguchi, Takashi [3 ]
Watanabe, Kenji [4 ]
Velasco, Jairo, Jr. [2 ]
Bena, Cristina [5 ]
机构
[1] Univ Basel, Dept Phys, Klingelbergstr 82, CH-4056 Basel, Switzerland
[2] Univ Calif Santa Cruz, Dept Phys, Santa Cruz, CA 95064 USA
[3] Natl Inst Mat Sci, Int Ctr Mat Nanoarchitecton, 1-1 Namiki, Tsukuba, Ibaraki 3050044, Japan
[4] Natl Inst Mat Sci, Res Ctr Funct Mat, 1-1 Namiki, Tsukuba, Ibaraki 3050044, Japan
[5] Univ Paris Saclay, Inst Phys Theor, CEA, CNRS, F-91190 Gif Sur Yvette, France
基金
美国国家科学基金会;
关键词
FRIEDEL OSCILLATIONS; IMPURITY; SCATTERING; STATES;
D O I
10.1103/PhysRevB.104.235425
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We calculate the form of quasiparticle interference patterns in bilayer graphene within a low-energy description, taking into account perturbatively the trigonal warping terms. We introduce four different types of impurities localized on the A and B sublattices of the first and the second layer, and we obtain closed-form analytical expressions both in real and Fourier spaces for the oscillatory corrections to the local density of states generated by the impurities. Finally, we compare our findings with recent experimental and semianalytical T-matrix results from Joucken et al. [Nano Lett. 21, 7100 (2021)], and we show that there is a very good agreement between our findings and the previous results, as well as with the experimental data.
引用
收藏
页数:13
相关论文
共 39 条
[21]   Determination of the gate-tunable band gap and tight-binding parameters in bilayer graphene using infrared spectroscopy [J].
Kuzmenko, A. B. ;
Crassee, I. ;
van der Marel, D. ;
Blake, P. ;
Novoselov, K. S. .
PHYSICAL REVIEW B, 2009, 80 (16)
[22]   Electron states of mono- and bilayer graphene on SiC probed by scanning-tunneling microscopy [J].
Mallet, P. ;
Varchon, F. ;
Naud, C. ;
Magaud, L. ;
Berger, C. ;
Veuillen, J.-Y. .
PHYSICAL REVIEW B, 2007, 76 (04)
[23]   Friedel oscillations in graphene-based systems probed by Scanning Tunneling Microscopy [J].
Mallet, Pierre ;
Brihuega, Ivan ;
Cherkez, Vladimir ;
Maria Gomez-Rodriguez, Jose ;
Veuillen, Jean-Yves .
COMPTES RENDUS PHYSIQUE, 2016, 17 (3-4) :294-301
[24]   Zero-bias anomaly in the tunneling density of states of graphene [J].
Mariani, Eros ;
Glazman, Leonid I. ;
Kamenev, Alex ;
von Oppen, Felix .
PHYSICAL REVIEW B, 2007, 76 (16)
[25]   Landau-level degeneracy and quantum hall effect in a graphite bilayer [J].
McCann, E ;
Fal'ko, VI .
PHYSICAL REVIEW LETTERS, 2006, 96 (08) :1-4
[26]   The electronic properties of bilayer graphene [J].
McCann, Edward ;
Koshino, Mikito .
REPORTS ON PROGRESS IN PHYSICS, 2013, 76 (05)
[27]   Cyclotron Motion in the Vicinity of a Lifshitz Transition in Graphite [J].
Orlita, M. ;
Neugebauer, P. ;
Faugeras, C. ;
Barra, A. -L. ;
Potemski, M. ;
Pellegrino, F. M. D. ;
Basko, D. M. .
PHYSICAL REVIEW LETTERS, 2012, 108 (01)
[28]   Electron waves in chemically substituted graphene [J].
Peres, N. M. R. ;
Klironomos, F. D. ;
Tsai, S. -W. ;
Santos, J. R. ;
dos Santos, J. M. B. Lopes ;
Castro Neto, A. H. .
EPL, 2007, 80 (06)
[29]   Electronic properties of disordered two-dimensional carbon [J].
Peres, NMR ;
Guinea, F ;
Castro Neto, AH .
PHYSICAL REVIEW B, 2006, 73 (12)
[30]  
Pogorelov Y, ARXIVCONDMAT0603327