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
[11]   Friedel oscillations at the surfaces of rhombohedral N-layer graphene [J].
Dutreix, C. ;
Katsnelson, M. I. .
PHYSICAL REVIEW B, 2016, 93 (03)
[12]  
Friedel J., 1958, Nuovo Cim, V7, P287, DOI DOI 10.1007/BF02751483
[13]   Visualization and Manipulation of Bilayer Graphene Quantum Dots with Broken Rotational Symmetry and Nontrivial Topology [J].
Ge, Zhehao ;
Joucken, Frederic ;
Quezada, Eberth ;
da Costa, Diego R. ;
Davenport, John ;
Giraldo, Brian ;
Taniguchi, Takashi ;
Watanabe, Kenji ;
Kobayashi, Nobuhiko P. ;
Low, Tony ;
Velasco, Jairo, Jr. .
NANO LETTERS, 2020, 20 (12) :8682-8688
[14]   Direct Visualization of Native Defects in Graphite and Their Effect on the Electronic Properties of Bernal-Stacked Bilayer Graphene [J].
Joucken, Frederic ;
Bena, Cristina ;
Ge, Zhehao ;
Quezada-Lopez, Eberth ;
Pinon, Sarah ;
Kaladzhyan, Vardan ;
Taniguchi, Takashi ;
Watanabe, Kenji ;
Ferreira, Aires ;
Velasco, Jairo J. R. .
NANO LETTERS, 2021, 21 (17) :7100-7108
[15]   Determination of the trigonal warping orientation in Bernal-stacked bilayer graphene via scanning tunneling microscopy [J].
Joucken, Frederic ;
Ge, Zhehao ;
Quezada-Lopez, Eberth A. ;
Davenport, John L. ;
Watanabe, Kenji ;
Taniguchi, Takashi ;
Velasco, Jairo, Jr. .
PHYSICAL REVIEW B, 2020, 101 (16)
[16]   Accurate tight-binding models for the π bands of bilayer graphene [J].
Jung, Jeil ;
MacDonald, Allan H. .
PHYSICAL REVIEW B, 2014, 89 (03)
[17]   Surface states and quasiparticle interference in Bernal and rhombohedral graphite with and without trigonal warping [J].
Kaladzhyan, Vardan ;
Pinon, Sarah ;
Joucken, Frederic ;
Ge, Zhehao ;
Quezada-Lopez, Eberth A. ;
Taniguchi, T. ;
Watanabe, K. ;
Velasco, Jairo, Jr. ;
Bena, Cristina .
PHYSICAL REVIEW B, 2021, 104 (15)
[18]   Electron scattering on microscopic corrugations in graphene [J].
Katsnelson, M. I. ;
Geim, A. K. .
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2008, 366 (1863) :195-204
[19]   Influence of trigonal warping on interference effects in bilayer graphene [J].
Kechedzhi, K. ;
Falko, Vladimir I. ;
McCann, E. ;
Altshuler, B. L. .
PHYSICAL REVIEW LETTERS, 2007, 98 (17)
[20]   How to detect fluctuating stripes in the high-temperature superconductors [J].
Kivelson, SA ;
Bindloss, IP ;
Fradkin, E ;
Oganesyan, V ;
Tranquada, JM ;
Kapitulnik, A ;
Howald, C .
REVIEWS OF MODERN PHYSICS, 2003, 75 (04) :1201-1241