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Berry Curvature Date: 2023/04/11 05:22 Name: Mitra Dear Taisuke Ozaki, I want to study the Berry curvature, Chern number and Z2 invariant of an insulator by using calB and Z2FH code. I have calculated the Chern number and  Z2 invariant of Bi(111) 0 and 1, respectively. Is it correct? I thought these quantities are related to each other. How can we describe the Berry curvature of Bi(111) with Z2=1? Regards, Mitra

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Re: Berry Curvature ( No.1 ) Date: 2023/04/13 19:37 Name: Hikaru Sawahata Dear Mitra Hi, thank you for using my calB and Z2FH code. In Bi(111) case, your result of C=0 and Z2=1 is correct. Chern number characterize a quantum anomalous Hall system, so it must be 0 on the non-magnetic system. On the other hand, Z2 invariant characterize a quantum spin Hall system, and it is defined on the non-magnetic system (time-reversal symmetric system). >I thought these quantities are related to each other. How can we describe the Berry curvature of Bi(111) with Z2=1? Please refer to these paper, https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.95.146802 https://journals.aps.org/prb/abstract/10.1103/PhysRevB.74.195312 Regards, Hikaru Sawahata

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