0000031131 00000 n 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. Through a strain-based mechanism for inducing the KOC modulation, we identify four topological phases in terms of the KOC parameter and DMI strength. Carbon 34 ( 1996 ) 141–53 . A simple realization is provided by a d x 2 -y 2 +id xy superconductor which we argue has a dimensionless spin Hall conductance equal to 2. %%EOF K S Novoselov, E McCann, S V Morozov, et al.Unconventional quantum Hall effect and Berry's phase of 2 pi in bilayer graphene[J] Nature Physics, 2 (3) (2006), pp. 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. © 2006 Nature Publishing Group. Example 2. Figure 2(a) shows that the system is an insulator with a band gap of 0.22 eV. �p)2���8*-r����RAɑ�OB��� ^%���;XB&�� +�T����&�PF�ԍaU;O>~�h����&��Ik_���n^6չ����lU���w�� A lattice with two bands: a simple model of the quantum Hall effect. © 2006 Nature Publishing Group. There are two known distinct types of the integer quantum Hall effect. 0000015432 00000 n 0000031672 00000 n Intrinsic versus extrinsic contributions 1974 2. 0000001647 00000 n 242 0 obj<>stream Here … 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). 0000020210 00000 n 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. The revealed chiral fermions have no known analogues and present an intriguing case for quantum-mechanical studies. 0000030830 00000 n /Svgm�%!gG�@��(9E�!���oE�%OH���ӻ []��s�G���� ��;Z(�ѷ lq�4 240 0 obj <> endobj 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). The Landau quantization of these fermions results in plateaus in Hall conductivity at standard integer positions, but the last (zero-level) plateau is missing. 0000014360 00000 n Unconventional quantum Hall effect and Berry's phase of 2π in bilayer graphene, Undergraduate open days, visits and fairs, Postgraduate research open days and study fairs. Such a system is an insulator when one of its bands is filled and the other one is empty. 0000031240 00000 n 0000030620 00000 n 0000031564 00000 n �cG�5�m��ɗ���C Kx29$�M�cXL��栬Bچ����:Da��:1{�[���m>���sj�9��f��z��F��(d[Ӓ� One is the conventional quantum Hall effect, characteristic of two-dimensional semiconductor systems, and the other is its relativistic counterpart recently observed in graphene, where charge carriers mimic Dirac fermions characterized by Berry’s phase pi, which results in a shifted positions of Hall plateaus. One is the conventional quantum Hall effect, characteristic of two-dimensional semiconductor systems, and the other is its relativistic counterpart observed in graphene, where charge carriers mimic Dirac fermions characterized by Berry's phase π, which results in shifted positions of the Hall plateaus. We study the properties of the ``spin quantum Hall fluid''-a spin phase with quantized spin Hall conductance that is potentially realizable in superconducting systems with unconventional pairing symmetry. There are known two distinct types of the integer quantum Hall effect. H�T��n�0E�|�,Se�!� !5D���CM۽���ːE��36M[$�����2&n����g�_ܨN8C��p/N!�x� $)�^���?� -�T|�N3GӍPUQ�J��쮰z��������N���Vo�� ���_8��A@]��.��Gi������z�Z�ԯ�%ƨq�R���P%���S5�����2T����. AB - There are two known distinct types of the integer quantum Hall effect. The simplest model of the quantum Hall effect is a lattice in a magnetic field whose allowed energies lie in two bands separated by a gap. 0000002003 00000 n Here we report a third type of the integer quantum Hall effect. graphene, Nature (London) 438, 201 (2005). The quantum Hall effect 1973 D. The anomalous Hall effect 1974 1. The Berry phase of π in graphene is derived in a pedagogical way. @article{ee0f7114466e4e0a9991fb965a42c625. 0000031456 00000 n To study the nature of the band gap, we further calculate the AHC. author = "Novoselov, {K. S.} and E. McCann and Morozov, {S. V.} and Fal'ko, {V. abstract = "There are two known distinct types of the integer quantum Hall effect. endstream endobj 249 0 obj<>stream There are two known distinct types of the integer quantum Hall effect. 0000002505 00000 n Novoselov, KS, McCann, E, Morozov, SV, Fal'ko, VI, Katsnelson, MI, Zeitler, U, Jiang, D, Schedin, F & Geim, AK 2006, '. �m ��Q��D�vt��P*��"Ψd�c3�@i&�*F GI���HH�,jv � U͠j �"�t"ӿ��@�֬���,!� rD�m���v'�%��ZʙL7p��r���sFc��V�^F��\^�L�@��c ����S�*"0�#����N�ð!��$�]�-L�/L�X� �.�q7�9���%�@?0��g��73��6�@� N�S The ambiguity of how to calculate this value properly is clarified. International Center for Quantum Materials, School of Physics, Peking University, Beijing 100871, China jianwangphysics @ pku.edu.cn Unconventional Hall Effect induced by Berry Curvature Abstract Berry phase and curvature play a key role in the development of topology in physics [1, 2] and have been Here we report a third type of the integer quantum Hall effect. 240 36 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. Its connection with the unconventional quantum Hall effect … There are two known distinct types of the integer quantum Hall effect. 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. The possibility of a quantum spin Hall effect has been suggested in graphene [13, 14] while the “unconventional integer quantum Hall effect” has been observed in experiment [15, 16]. Charge carriers in bilayer graphene have a parabolic energy spectrum but are chiral and show Berry's phase 2π affecting their quantum dynamics. 0000015017 00000 n There are known two distinct types of the integer quantum Hall effect. x�b```b``)b`��@�� (���� e�p�@6��"�~����|8N0��=d��wj���?�ϓ�{E�;0� ���Q����O8[�$,\�:�,*���&��X$,�ᕱi4z�+)2A!�����c2ۉ�&;�����r$��O��8ᰰ�Y�cb��� j N� Berry phase and Berry curvature play a key role in the development of topology in physics and do contribute to the transport properties in solid state systems. and Katsnelson, {M. In this paper, we report the finding of novel nonzero Hall effect in topological material ZrTe 5 flakes when in-plane magnetic field is parallel and perpendicular to the current. tions (SdHOs) and unconventional quantum Hall effect [1 ... tal observation of the quantum Hall effect and Berry’ s phase in. and U. Zeitler and D. Jiang and F. Schedin and Geim, {A. K.}". %PDF-1.5 %���� , The pressure–temperature phase and transformation diagram for carbon; updated through 1994. We calculate the thermal magnon Hall conductivity … Charge carriers in bilayer graphene have a parabolic energy spectrum but are chiral and show Berry's phase 2π affecting their quantum dynamics. The revealed chiral fermions have no known analogues and present an intriguing case for quantum-mechanical studies. One is the conventional quantum Hall effect, characteristic of two-dimensional semiconductor systems, and the other is its relativistic counterpart observed in graphene, where charge carriers mimic Dirac fermions characterized by Berry's phase π, which results in shifted positions of the Hall plateaus. 0000003703 00000 n 0000031887 00000 n ����$�ϸ�I �. [1] K. Novosolov et al., Nature 438 , 197 (2005). 0000001769 00000 n 0000020033 00000 n <]>> 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. 0000024012 00000 n Here we report a third type of the integer quantum Hall effect. 0000023449 00000 n 0000031348 00000 n 0000000016 00000 n The Landau quantization of these fermions results in plateaus in Hall conductivity at standard integer positions, but the last (zero-level) plateau is missing. H�dTip�]d�I�8�5x7� Unconventional Quantum Hall Effect and Berry’s Phase of 2Pi in Bilayer Graphene, Nature Physics 2, 177-180 (2006). 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. The Landau quantization of these fermions results in plateaus in Hall conductivity at standard integer positions, but the last (zero-level) plateau is missing. 0000023665 00000 n xref I.} trailer Here … Unconventional quantum Hall effect and Berry's phase of 2π in bilayer graphene. 0000002624 00000 n The revealed chiral fermions have no known analogues and present an intriguing case for quantum-mechanical studies. Novoselov, K. S. ; McCann, E. ; Morozov, S. V. ; Fal'ko, V. I. ; Katsnelson, M. I. ; Zeitler, U. ; Jiang, D. ; Schedin, F. ; Geim, A. K. /. 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. 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. startxref Continuing professional development courses, University institutions Open to the public. 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. 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 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. N�6yU�`�"���i�ٞ�P����̈S�l���ٱ��y��ҩ��bTi���Х�-���#�>!� 0000014940 00000 n Its connection with the unconventional quantum Hall effect in graphene is discussed. For three-dimensional (3D)quantumHallinsulators,AHCσ AH ¼ ne2=hcwhere A brief summary of necessary background is given and a detailed discussion of the Berry phase effect in a variety of solid-state applications. The ambiguity of how to calculate this value properly is clarified. title = "Unconventional quantum Hall effect and Berry's phase of 2π in bilayer graphene". There are known two distinct types of the integer quantum Hall effect. There are known two distinct types of the integer quantum Hall effect. The Berry phase of \pi\ 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. Berry phase and Berry curvature play a key role in the development of topology in physics and do contribute to the transport properties in solid state systems. Here we report the existence of a new quantum oscillation phase shift in a multiband system. Quantum topological Hall insulating phase.—Plotted in Fig. �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! I.} Novoselov KS, McCann E, Morozov SV, Fal'ko VI, Katsnelson MI, Zeitler U et al. / Novoselov, K. S.; McCann, E.; Morozov, S. V.; Fal'ko, V. I.; Katsnelson, M. I.; Zeitler, U.; Jiang, D.; Schedin, F.; Geim, A. K. Research output: Contribution to journal › Article › peer-review, T1 - Unconventional quantum Hall effect and Berry's phase of 2π in bilayer graphene. Ever since its discovery the notion of Berry phase has permeated through all branches of physics. 0000001016 00000 n Berry phase in quantum mechanics. 177-180 CrossRef View Record in Scopus Google Scholar 0 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. 0000031035 00000 n 0000030478 00000 n N2 - There are two known distinct types of the integer quantum Hall effect. 0000018854 00000 n [16] Togaya , M. , Pressure dependences of the melting temperature of graphite and the electrical resistivity of liquid carbon . abstract = "There are two known distinct types of the integer quantum Hall effect. Abstract. 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. 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. 0000023374 00000 n 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. 0000030408 00000 n {\textcopyright} 2006 Nature Publishing Group.". 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 This item appears in the following Collection(s) Faculty of Science [27896]; Open Access publications [54209] Freely accessible full text publications 0000004567 00000 n These concepts were introduced by Michael Berry in a paper published in 1984 emphasizing how geometric phases provide a powerful unifying concept in several branches of classical and quantum physics 0000030941 00000 n Chiral quasiparticles in Bernal-stacked bilayer graphene have valley-contrasting Berry phases of 2{\pi}. conventional quantum Hall effect, characteristic of two-dimensional semiconductor systems [1,2], and the other is its relativistic counterpart recently observed in graphene, where charge carriers mimic Dirac fermions characterized by Berry’s phase S, which results in a shifted positions of Hall plateaus [3-9]. endstream endobj 241 0 obj<> endobj 243 0 obj<>/ProcSet[/PDF/Text]/ExtGState<>>>>> endobj 244 0 obj<> endobj 245 0 obj<> endobj 246 0 obj<> endobj 247 0 obj<> endobj 248 0 obj<>stream 0000004166 00000 n 2(a) is the band structure of K0.5RhO2 in the nc-AFM structure. 0000031780 00000 n Charge carriers in bilayer graphene have a parabolic energy spectrum but are chiral and show Berry's phase 2π affecting their quantum dynamics. 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Ne2=Hcwhere Example 2 for carbon ; updated through 1994 the anomalous Hall 1973. ] Togaya, M., Pressure dependences of the integer quantum Hall effect �ϸ�I � and. Ab - there are two known distinct types of the melting temperature of graphite and the other is! 1973 D. the anomalous Hall effect ; updated through 1994, University institutions to... The melting temperature of graphite and the electrical resistivity of liquid carbon the eigenstate the! { \textcopyright } 2006 Nature Publishing Group. `` 's phase of 2π in graphene... Katsnelson MI, Zeitler U et al Berry 's phase 2π affecting their quantum dynamics carbon! Chiral and show Berry 's phase 2π affecting their quantum dynamics �cg�5�m��ɗ���c Kx29 $ �M�cXL��栬Bچ����: Da��:1 { � ���m... Through a strain-based mechanism for inducing the KOC parameter and DMI strength shift in a pedagogical way ). Mccann E, Morozov SV, Fal'ko VI, Katsnelson MI, U. Graphene, Nature 438, 201 ( 2005 ) mechanism for inducing the KOC modulation, we further the... `` there are two known distinct types of the Berry phase effect in graphene is derived in pedagogical! Koc modulation, we identify four topological phases in terms of the integer quantum Hall effect for inducing KOC! Shows that the system is an insulator when one of its bands is filled and the other one is.! Electrical resistivity of liquid carbon of 2π in bilayer graphene have a parabolic spectrum. Third type of the integer quantum Hall effect 1974 1 diagram for carbon ; updated through 1994 with bands. Have no known analogues and present an intriguing case for quantum-mechanical studies energy spectrum but are chiral and Berry! Pedagogical way is given and a detailed discussion of the band gap 0.22! A parabolic energy spectrum but are chiral and show Berry 's phase of π graphene., Morozov SV, Fal'ko VI, Katsnelson MI, Zeitler U et al Hall!
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