tions (SdHOs) and unconventional quantum Hall effect [1 ... tal observation of the quantum Hall effect and Berry’ s phase in. Ever since its discovery the notion of Berry phase has permeated through all branches of physics. The Landau quantization of these fermions results in plateaus in Hall conductivity at standard integer positions, but the last (zero-level) plateau is missing. 0000003703 00000 n 0000004166 00000 n 0000031780 00000 n Its connection with the unconventional quantum Hall effect … <]>> This item appears in the following Collection(s) Faculty of Science [27896]; Open Access publications [54209] Freely accessible full text publications abstract = "There are two known distinct types of the integer quantum Hall effect. The Berry phase of π in graphene is derived in a pedagogical way. In physics, Berry connection and Berry curvature are related concepts which can be viewed, respectively, as a local gauge potential and gauge field associated with the Berry phase or geometric phase. 240 0 obj <> endobj Unconventional quantum Hall effect and Berry's phase of 2π in bilayer graphene. © 2006 Nature Publishing Group. Charge carriers in bilayer graphene have a parabolic energy spectrum but are chiral and show Berry's phase 2π affecting their quantum dynamics. 2(a) is the band structure of K0.5RhO2 in the nc-AFM structure. We fabricated a monolayer graphene transistor device in the shape of the Hall-bar structure, which produced an exactly symmetric signal following the … 0000030718 00000 n The zero-level anomaly is accompanied by metallic conductivity in the limit of low concentrations and high magnetic fields, in stark contrast to the conventional, insulating behaviour in this regime. �Sf:mRRJ0!�`[Bؒmݖd�Z��)�%�>-ɒ,�:|p8c����4�:����Y�u:���}|�{�7�--�h4Z��5~vp�qnGr�#?&�h���}z� ���P���,��_� ���U�w�_�� ��� Z� -�A�+� ���2��it�4��B�����!s=���m������,�\��,�}���!�%�P���"4�lu��LU6V6��vIb)��wK�CוW��x�16�+� �˲e˺ު}��wN-_����:f��|�����+��ڲʳ���O+Los߾���+Ckv�Ѭq�^k�ZW5�F����� ֽ��8�Z��w� /�7�q�Ƨ�voz�y���i�wTk�Y�B�Ҵ�j듭_o�m.�Z��\�/�|Kg����-��,��3�3�����v���6�KۯQ! Here … %%EOF One is the conventional quantum Hall effect, characteristic of two-dimensional semiconductor systems, and the other is its relativistic counterpart observed in graphene, where charge carriers mimic Dirac fermions characterized by Berry's phase π, which results in shifted positions of the Hall plateaus. �cG�5�m��ɗ���C Kx29$�M�cXL��栬Bچ����:Da��:1{�[���m>���sj�9��f��z��F��(d[Ӓ� startxref , The pressure–temperature phase and transformation diagram for carbon; updated through 1994. and U. Zeitler and D. Jiang and F. Schedin and Geim, {A. K.}". ����$�ϸ�I �. A brief summary of necessary background is given and a detailed discussion of the Berry phase effect in a variety of solid-state applications. 0000030620 00000 n [16] Togaya , M. , Pressure dependences of the melting temperature of graphite and the electrical resistivity of liquid carbon . 240 36 We present theoretically the thermal Hall effect of magnons in a ferromagnetic lattice with a Kekule-O coupling (KOC) modulation and a Dzyaloshinskii-Moriya interaction (DMI). Carbon 34 ( 1996 ) 141–53 . 0000001647 00000 n Quantum Hall effect in bilayer graphene.a, Hall resistivities xy and xx measured as a function of B for fixed concentrations of electrons n2.51012 cm-2 induced by the electric field effect. endstream endobj 249 0 obj<>stream author = "Novoselov, {K. S.} and E. McCann and Morozov, {S. V.} and Fal'ko, {V. I.} The revealed chiral fermions have no known analogues and present an intriguing case for quantum-mechanical studies. Novoselov KS, McCann E, Morozov SV, Fal'ko VI, Katsnelson MI, Zeitler U et al. Here we report the existence of a new quantum oscillation phase shift in a multiband system. %PDF-1.5 %���� The quantum Hall effect 1973 D. The anomalous Hall effect 1974 1. The phase obtained has a contribution from the state's time evolution and another from the variation of the eigenstate with the changing Hamiltonian. The Landau quantization of these fermions results in plateaus in Hall conductivity at standard integer positions, but the last (zero-level) plateau is missing. One is the conventional quantum Hall effect, characteristic of two-dimensional semiconductor systems, and the other is its relativistic counterpart recently observed in graphene, where charge carriers mimic Dirac fermions characterized by Berry’s phase pi, which results in a shifted positions of Hall plateaus. In a quantum system at the n-th eigenstate, an adiabatic evolution of the Hamiltonian sees the system remain in the n-th eigenstate of the Hamiltonian, while also obtaining a phase factor. 0000015017 00000 n This nontrival topological structure, associated with the pseudospin winding along a closed Fermi surface, is responsible for various novel electronic properties, such as anti-Klein tunneling, unconventional quantum Hall effect, and valley Hall effect1-6. 0 Example 2. Novoselov, KS, McCann, E, Morozov, SV, Fal'ko, VI, Katsnelson, MI, Zeitler, U, Jiang, D, Schedin, F & Geim, AK 2006, '. 0000024012 00000 n Abstract. 0000023449 00000 n 0000031035 00000 n 0000001016 00000 n Figure 2(a) shows that the system is an insulator with a band gap of 0.22 eV. 242 0 obj<>stream x�b```b``)b`��@�� (���� e�p�@6��"�~����|8N0��=d��wj���?�ϓ�{E�;0� ���Q����O8[�$,\�:�,*���&��X$,�ᕱi4z�+)2A!�����c2ۉ�&;�����r$��O��8ᰰ�Y�cb��� j N� In this paper, we report the finding of novel nonzero Hall effect in topological material ZrTe 5 flakes when in-plane magnetic field is parallel and perpendicular to the current. Quantum oscillations provide a notable visualization of the Fermi surface of metals, including associated geometrical phases such as Berry’s phase, that play a central role in topological quantum materials. Unconventional Quantum Hall Effect and Berry’s Phase of 2Pi in Bilayer Graphene, Nature Physics 2, 177-180 (2006). Novoselov, K. S., McCann, E., Morozov, S. V., Fal'ko, V. I., Katsnelson, M. I., Zeitler, U., Jiang, D., Schedin, F., & Geim, A. K. (2006). 0000031456 00000 n /Svgm�%!gG�@��(9E�!���oE�%OH���ӻ []��s�G���� ��;Z(�ѷ lq�4 A lattice with two bands: a simple model of the quantum Hall effect. One is the conventional quantum Hall effect, characteristic of two-dimensional semiconductor systems, and the other is its relativistic counterpart observed in graphene, where charge carriers mimic Dirac fermions characterized by Berry's phase π, which results in shifted positions of the Hall plateaus.

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