<?xml version="1.0" encoding="UTF-8"?><xml><records><record><source-app name="Biblio" version="6.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Wang, Z. F.</style></author><author><style face="normal" font="default" size="100%">Liu, F.</style></author><author><style face="normal" font="default" size="100%">Chou, M. Y.</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Fractal Landau-Level Spectra in Twisted Bilayer Graphene</style></title><secondary-title><style face="normal" font="default" size="100%">Nano Letters</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">Chemistry</style></keyword><keyword><style  face="normal" font="default" size="100%">ELECTRONS</style></keyword><keyword><style  face="normal" font="default" size="100%">fractal</style></keyword><keyword><style  face="normal" font="default" size="100%">interlayer coupling</style></keyword><keyword><style  face="normal" font="default" size="100%">Landau level</style></keyword><keyword><style  face="normal" font="default" size="100%">MATERIALS SCIENCE</style></keyword><keyword><style  face="normal" font="default" size="100%">PHYSICS</style></keyword><keyword><style  face="normal" font="default" size="100%">Science &amp; Technology - Other Topics</style></keyword><keyword><style  face="normal" font="default" size="100%">SPECTRA</style></keyword><keyword><style  face="normal" font="default" size="100%">Twisted bilayer graphene</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2012</style></year><pub-dates><date><style  face="normal" font="default" size="100%">Jul</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">&lt;Go to ISI&gt;://WOS:000306296200080</style></url></web-urls></urls><number><style face="normal" font="default" size="100%">7</style></number><volume><style face="normal" font="default" size="100%">12</style></volume><pages><style face="normal" font="default" size="100%">3833-3838</style></pages><isbn><style face="normal" font="default" size="100%">1530-6984</style></isbn><language><style face="normal" font="default" size="100%">English</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;The Hofstadter butterfly spectrum for Landau levels in a two-dimensional periodic lattice is a rare example exhibiting fractal properties in a truly quantum system. However, the observation of this physical phenomenon in a conventional material will require a magnetic field strength several orders of magnitude larger than what can be produced in a modern laboratory. It turns out that for a specific range of rotational angles twisted bilayer graphene serves as a special system with a fractal energy spectrum under laboratory accessible magnetic field strengths. This unique feature arises from an intriguing electronic structure induced by the interlayer coupling. Using a recursive tight-binding method, we systematically map out the spectra of these Landau levels as a function of the rotational angle. Our results give a complete description of LLs in twisted bilayer graphene for both commensurate and incommensurate rotational angles and provide quantitative predictions of magnetic field strengths for observing the fractal spectra in these graphene systems.&lt;/p&gt;
</style></abstract><work-type><style face="normal" font="default" size="100%">Article</style></work-type><accession-num><style face="normal" font="default" size="100%">WOS:000306296200080</style></accession-num><notes><style face="normal" font="default" size="100%">&lt;p&gt;ISI Document Delivery No.: 972QYTimes Cited: 5Cited Reference Count: 34Cited References:      Albrecht C, 2001, PHYS REV LETT, V86, P147, DOI 10.1103/PhysRevLett.86.147     Bistritzer R, 2011, PHYS REV B, V84, DOI 10.1103/PhysRevB.84.035440     Bistritzer R, 2011, P NATL ACAD SCI USA, V108, P12233, DOI 10.1073/pnas.1108174108     Choi MY, 2011, PHYS REV B, V84, DOI 10.1103/PhysRevB.84.195437     Coraux J, 2008, NANO LETT, V8, P565, DOI 10.1021/nl0728874     de Gail R, 2011, PHYS REV B, V84, DOI 10.1103/PhysRevB.84.045436     Dietl P, 2008, PHYS REV LETT, V100, DOI 10.1103/PhysRevLett.100.236405     dos Santos JMBL, 2007, PHYS REV LETT, V99, DOI 10.1103/PhysRevLett.99.256802     Gusynin VP, 2005, PHYS REV LETT, V95, DOI 10.1103/PhysRevLett.95.146801     Hass J, 2008, PHYS REV LETT, V100, DOI 10.1103/PhysRevLett.100.125504     HOFSTADTER DR, 1976, PHYS REV B, V14, P2239, DOI 10.1103/PhysRevB.14.2239     Kim KS, 2009, NATURE, V457, P706, DOI 10.1038/nature07719     Kindermann M, 2011, PHYS REV B, V84, DOI 10.1103/PhysRevB.84.161406     Kwon SY, 2009, NANO LETT, V9, P3985, DOI 10.1021/nl902140j     de Laissardiere GT, 2010, NANO LETT, V10, P804, DOI 10.1021/nl902948m     Li GH, 2010, NAT PHYS, V6, P109, DOI 10.1038/NPHYS1463     Li XS, 2009, SCIENCE, V324, P1312, DOI 10.1126/science.1171245     Luican A, 2011, PHYS REV LETT, V106, DOI 10.1103/PhysRevLett.106.126802     Miller DL, 2009, SCIENCE, V324, P924, DOI 10.1126/science.1171810     Miller DL, 2010, NAT PHYS, V6, P811, DOI 10.1038/NPHYS1736     Miller DL, 2010, PHYS REV B, V81, DOI 10.1103/PhysRevB.81.125427     Moon P, 2012, PHYS REV B, V85, DOI 10.1103/PhysRevB.85.195458     Nemec N, 2007, PHYS REV B, V75, DOI 10.1103/PhysRevB.75.201404     Novoselov KS, 2005, NATURE, V438, P197, DOI 10.1038/nature04233     Peeters F. M., 2007, PHYS REV B, V76     Shallcross S, 2008, PHYS REV LETT, V101, DOI 10.1103/PhysRevLett.101.056803     Morell ES, 2010, PHYS REV B, V82, DOI 10.1103/PhysRevB.82.121407     Sutter PW, 2008, NAT MATER, V7, P406, DOI 10.1038/nmat2166     Wang ZF, 2011, NANOSCALE, V3, P4201, DOI 10.1039/c1nr10489f     Wang ZF, 2010, ACS NANO, V4, P2459, DOI 10.1021/nn1001722     Wu SD, 2008, PHYS REV B, V77, DOI 10.1103/PhysRevB.77.195411     Xian L, 2011, PHYS REV B, V84, DOI 10.1103/PhysRevB.84.075425     Zhang YB, 2005, NATURE, V438, P201, DOI 10.1038/nature04235     Zhu W, 2009, PHYS REV LETT, V102, DOI 10.1103/PhysRevLett.102.056803Wang, Z. F. Liu, Feng Chou, M. Y.wang, zhengfei/E-8150-2011; Chou, Mei-Yin/D-3898-2012wang, zhengfei/0000-0002-0788-9725;Department of Energy [DE-FG02-97ER45632, DE-FG02-03ER46027]; National Science Foundation [DMR-02-05328]This work is supported by the Department of Energy (Grants DE-FG02-97ER45632 and DE-FG02-03ER46027). We acknowledge interaction with the Georgia Tech MRSEC funded by the National Science Foundation (Grant DMR-02-05328). We thank the NERSC and CHPC at University of Utah for providing the computing resources.5Amer chemical socWashington&lt;/p&gt;
</style></notes><auth-address><style face="normal" font="default" size="100%">Univ Utah, Dept Mat Sci &amp; Engn, Salt Lake City, UT 84112 USA. Georgia Inst Technol, Sch Phys, Atlanta, GA 30332 USA. Acad Sinica, Inst Atom &amp; Mol Sci, Taipei 10617, Taiwan.Liu, F (reprint author), Univ Utah, Dept Mat Sci &amp; Engn, Salt Lake City, UT 84112 USA.fliu@eng.utah.edu|meiyin.chou@physics.gatech.edu</style></auth-address></record></records></xml>