Quantum Oscillations from Surface Fermi-Arcs in Weyl and Dirac Semi-Metals

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2011

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Z. Wang, Y. Sun, X.-Q. Chen, C. Franchini, G. Xu, H. Weng, X. Dai, and Z. Fang, Dirac semimetal and topological phase transitions in A 3 Bi (A=Na, K, Rb)

2012

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Gang Chen, Michael Hermele, Magnetic orders and topological phases from f-d exchange in pyrochlore iridates

2012

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F. F. Tafti, J. J. Ishikawa, A. McCollam, S. Nakatsuji, S. R. Julian. Pressure Tuned Insulator to Metal Transition in Eu 2 Ir 2 O 7

2012

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A. M. Turner and A. Vishwanath, Beyond Band Insulators: Topology of Semi-metals and Interacting Phases

Original

Cited in the paper.

S. Borisenko, Q. Gibson, D. Evtushinsky, V. Zabolotnyy, B. Buechner, R.J. Cava, Experimental Realization of a Three-Dimensional Dirac Semimetal

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M. Neupane, S.-Y. Xu, R. Sankar, N. Alidoust, G. Bian, Chang Liu, I. Belopolski, T.-R. Chang, H.-T. Jeng, H. Lin, A. Bansil, Fangcheng Chou, M. Z. Hasan, Observation of a topological 3D Dirac semimetal phase in high-mobility Cd 3 As 2 and related materials

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Z. K. Liu, B. Zhou, Z. J. Wang, H. M. Weng, D. Prabhakaran, S. -K. Mo, Y. Zhang, Z. X. Shen, Z. Fang, X. Dai, Z. Hussain, and Y. L. Chen, Discovery of a Three-dimensional Topological Dirac Semimetal, Na 3 Bi

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S-Y. Xu et al. Observation of a bulk 3D Dirac multiplet, Lifshitz transition, and nestled spin states in Na 3 Bi

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See Supplementary materials for more details about the surface state and Landau-Level structure of Weyl and Dirac SMs and diabatic corrections to semiclassical motion along the Fermi-arc

Cited in the paper.

Alternative processes in which electrons transfer to non-chiral bulk LLs are not expected to play an important role in forming closed magnetic orbits since the non-chiral states 1) have finite energy gap E n ​ ( k y ) = ± v ⟂ ​ 2 ​ v z v ⟂ ​ ( e ​ B ​ n ) 2 + k y 2 E_{n}(k_{y})=\pm v_{\perp}\sqrt{2\frac{v_{z}}{v_{\perp}}\left(eBn\right)^{2}+k_{y}^{2}} , where ( | n | > 0 ) (|n|>0) [ 16 ] , and 2) propagate massively rather than ballistically. This expectation is confirmed by the good agreement of semiclassical predictions with direct numerical simulations

Cited in the paper.

W. Witczak-Krempa, G. Chen, Y.B. Kim, and L. Balents, Correlated quantum phenomena in the strong spin-orbit regime

Original

Cited in the paper.

This truncation breaks the canonical commutation relations of a a and a † a^{\dagger} for states near the cutoff, N max N_{\text{max}} . This can create spurious low-energy solutions, that have large weight on N max N_{\text{max}} but very low energy. These are removed by adding a regulator term that energetically penalizes | N max ⟩ |N_{\text{max}}\rangle

Cited in the paper.

W. Witczak-Krempa, and Y.B. Kim Topological and magnetic phases of interacting electrons in the pyrochlore iridates

2012

Later among the works it cites.

Z. Wang, H. Weng, Q. Wu, X. Dai, and Z. Fang, Three-dimensional Dirac semimetal and quantum transport in Cd 3 As 2

2013

Later among the works it cites.

F.D.M. Haldane, Attachment of Surface “Fermi Arcs” to the Bulk Fermi Surface: “Fermi-Level Plumbing” in Topological Metals

Original

2014

Closest in time.