electronic properties of graphene pdf

>> A tight-binding Hamiltonian is investigated to calculate the band dispersion of graphene. /FirstChar 33 /Type/Font This article reviews the basic theoretical aspects of graphene, a one-atom-thick allotrope of carbon, with unusual two-dimensional Dirac-like electronic excitations. 383 545 825 664 973 796 826 723 826 782 590 767 796 796 1091 796 796 649 295 531 396 539 789 644 920 763 787 696 787 749 577 735 763 763 1025 763 763 630 315 528 <> 0 0 855 690 657 657 986 986 329 362 592 592 592 592 592 893 526 617 855 920 592 1071 >> In conclusion, some electronic properties of graphene are introduced. Further enhancement in the electronic properties could be achieved with blending iron-doped protonated polyaniline with graphene oxide [24]. h��[o�0��[U̎'A��I��\��Z��;ǉChK�S|�s��;�j� #�1�v��%��=hmb��C,��A��0jt;a��>��@EJ�|X:,#םd��0�:8��踥,t��x�g�@� �4�j��՘�EI!A�ݪ��8 7k�M�f�R�}��L��m��D�s/� 1139 770 770 1016 1016 0 0 647 647 770 585 831 831 893 893 708 918 753 620 889 616 /BaseFont/HRIOHW+CMSY10 50 0 obj The interest in graphene is not only limited to the scientiﬁc community. %PDF-1.4 >> Electronics Properties Graphene is a semi-metal or zero-gap semiconductor. 893 1139 1139 893 893 1139 893] 514 514 514 514 514 514 514 285 285 799 514 799 514 544 771 778 734 848 756 656 805 << << /BaseFont/JMZVPW+CMTT10 611 352 611 352 352 611 676 546 676 546 384 611 676 352 384 644 352 1000 676 611 0 0 767 620 590 590 885 885 295 325 531 531 531 531 531 796 472 531 767 826 531 959 /FirstChar 33 /FirstChar 33 414 419 413 590 561 767 561 561 472 531 1063 531 531 531 0 0 0 0 0 0 0 0 0 0 0 0 /FontDescriptor 32 0 R 1202 920 329 592] A hallmark of graphene is its unconventional electronic spectrum (Fig. 18 0 obj /FirstChar 33 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 706 938 877 782 754 843 815 877 815 877 389 1000 1000 417 529 429 433 520 466 490 477 576 345 412 521 298 878 600 485 503 << /LastChar 196 45 0 obj >> 295 531 295 295 531 590 472 590 472 325 531 590 295 325 561 295 885 590 531 590 561 /Subtype/Type1 /Widths[295 531 885 531 885 826 295 413 413 531 826 295 354 295 531 531 531 531 531 /Type/Font /Name/F10 /Type/Font /BaseFont/BBRZOB+CMBX12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 664 885 826 737 708 796 767 826 767 826 0 0 792 659 579 531 456 416 451 513 481 364 592 600 619 507 451 588 529 588 452 556 488 467 460 657 625 855 625 625 526 592 1183 592 592 592 0 0 0 0 0 0 0 0 0 0 0 0 << 462 462 1139 1139 478 620 502 511 595 542 557 557 669 404 473 607 361 1014 706 564 endobj /FontDescriptor 38 0 R 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 642 856 799 714 685 771 742 799 742 799 /BaseFont/IQOGUR+CMR10 /Type/Font 2 0 obj /FontDescriptor 44 0 R /LastChar 196 /BaseFont/GKAMUC+CMR9 569 569 569 569 569 569 323 323 323 877 539 539 877 843 799 815 860 768 737 884 843 /FirstChar 33 1014 778 278 500] /Name/F7 KEYWORDS Graphene, self-assembled monolayers, graphene edge functionalization, doping of graphene, transport in graphene S 525 525 525 525 525 525 315 315 315 787 525 525 787 763 723 735 775 696 670 794 763 612 641 671 285] /Length 3862 Specifically, low-energy excitations in graphene are “relativistic” Dirac fermions, with an effective “light velocity” 106 cm/s. 531 531 531 531 531 531 295 295 295 826 502 502 826 796 752 767 811 723 693 834 796 /Subtype/Type1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 711 986 920 827 789 924 855 920 855 920 << stream /Name/F13 endstream endobj startxref 596 626 651 278] >> /LastChar 196 870 935 0 0 870 736 704 704 1056 1056 352 384 611 611 611 611 611 896 546 611 870 Model and method 2.1. 21 0 obj 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 525 525 525 525 525 525 525 525 525 525 0 0 525 /Name/F2 208 0 obj <>stream Finally, we conclude with a summary in section IV. electronic properties of the system, then we study the electronic behavior of the system subjected to the electric field. 42 0 obj 433 420 341 551 472 682 474 498 420 525 1049 525 525 525 0 0 0 0 0 0 0 0 0 0 0 0 1011 787 262 525] /FontDescriptor 11 0 R endobj /Type/Font << << 850 449 566 870 699 993 822 782 656 811 778 628 600 699 599 971 849 597 699 400 400 xڽZKs�F��-`��` �(� ��e��= (0��B��{�=\~�V��ͷ��J)?3fus��?Qf��Y�n. 329 592 329 329 575 657 526 657 543 362 592 657 329 362 625 329 986 657 592 657 625 676 644 481 488 481 676 644 870 644 644 546 611 1222 611 611 611 0 0 0 0 0 0 0 0 27 0 obj /BaseFont/RGDDZQ+CMR6 0 0 742 600 571 571 856 856 285 314 514 514 514 514 514 771 457 514 742 799 514 928 /Subtype/Type1 285 514 285 285 514 571 457 571 457 314 514 571 285 314 542 285 856 571 514 571 542 778 1000 1000 778 778 1000 778] 0 endobj 0 0 815 678 647 647 970 970 323 354 569 569 569 569 569 843 508 569 815 877 569 1014 3 0 obj endobj /Subtype/Type1 /Subtype/Type1 633 687 714 756 339] /Subtype/Type1 278 833 750 833 417 667 667 778 778 444 444 444 611 778 778 778 778 0 0 0 0 0 0 0 /Widths[360 618 986 592 986 920 329 460 460 592 920 329 394 329 592 592 592 592 592 << /Widths[352 611 1000 611 1000 935 352 481 481 611 935 352 417 352 611 611 611 611 Four electronic properties separate it from other condensed matter systems. >> /FirstChar 33 189 0 obj <> endobj 778 778 0 0 778 778 778 1000 500 500 778 778 778 778 778 778 778 778 778 778 778 /BaseFont/IGKWRL+CMSY7 315 525 315 315 525 472 472 525 472 315 472 525 315 315 472 262 840 577 525 525 472 >> endobj << ��W�|�qR�YNj+�JA$E�& Z"�(_�}� iH�L��g��ſ�#!�\��o//�(��H*��j�� ~_��h�?�//��:�M�B��b�ĸ�L�oq`��D4c��z"*��N��-��'S=��C�Gx�'�z�Fp�}?��ˋW��k�_!UV�!��OêBg5�V%�a��&Ÿ'J�V��d��J�~K2�oq5�,��E��x��-��.&�Yk�K. /Name/F3 /Name/F11 /Subtype/Type1 30 0 obj This leads to remarkable electronic properties of this material that have been revealed by transport measurements [1,4,5]. The discussion of graphene’s electronic properties and how such relativistic eﬀects are revealed in electric transport measurements is naturally a prominent part of the present lecture notes. /Subtype/Type1 /Subtype/Type1 /Type/Font 459 464 479 371 591 499 737 583 506 478 334 392 653 514 285 0 0 0 0 0 0 0 0 0 0 0 446 453 446 631 600 815 600 600 508 569 1139 569 569 569 0 0 0 0 0 0 0 0 0 0 0 0 893 893 0 0 893 893 893 1139 585 585 893 893 893 893 893 893 893 893 893 893 893 /Type/Font /Widths[315 528 840 786 840 787 315 420 420 525 787 315 367 315 525 525 525 525 525 /Type/Font /LastChar 196 0 0 722 583 556 556 833 833 278 306 500 500 500 500 500 750 444 500 722 778 500 903 �E��(|��k��C��/vϏV)f�v�2��b^qY�F{yۃ�~��Bmэ��u�ԕێ:��;�^t}KK��9. /FirstChar 33 endobj /Subtype/Type1 /BaseFont/OEQZGL+CMMI9 All these interesting properties make graphene a key material in condensed matter physics. 1 0 obj 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 676 938 875 787 750 880 813 875 813 875 /FirstChar 33 The Dirac electrons can be controlled by application of external electric and magnetic fields, or by altering sample geometry and/or topology. 592 592 592 592 592 592 329 329 360 920 559 559 920 893 841 855 907 777 744 930 924 725 667 667 667 667 667 611 611 444 444 444 444 500 500 389 389 278 500 500 611 500 1042 799 285 514] 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 /Type/Font 1077 826 295 531] endobj /Name/F4 /FirstChar 33 563 563 563 563 563 563 313 313 343 875 531 531 875 850 800 813 862 738 707 884 880

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