Dear Sir, I was trying to calculate the Integer quantum Hall effect in graphene with the help of Laughlinargument.ipynb. For square lattice the quantization is okay ( ne^2/h). But for graphene it is (2n+1) 2e^2/h. I am getting the quantization like 1, 3, 5, 7 e^2/h in graphene which seems there is missing of factor 2. Is the Hall conductivity I am getting is in 2e^2/h unit or should I multiply the data by 2 to get the quantization like 2, 6, 10 which is well-known IQHE in graphene. It will be really helpful If you kindly clear my doubts regarding this. Thanking You, Priyanka Sinha
Hi Priyanka, Indeed, the missing factor of 2 is due to spin degeneracy, which you did not include in your Hamiltonian. You may just multiply the conductance by 2. Best, Anton On Tue, 21 Jan 2020 at 17:01, MS. PRIYANKA SINHA <sinhapriyanka2016@iitg.ac.in> wrote:
Dear Sir, I was trying to calculate the Integer quantum Hall effect in graphene with the help of Laughlinargument.ipynb. For square lattice the quantization is okay ( ne^2/h). But for graphene it is (2n+1) 2e^2/h. I am getting the quantization like 1, 3, 5, 7 e^2/h in graphene which seems there is missing of factor 2. Is the Hall conductivity I am getting is in 2e^2/h unit or should I multiply the data by 2 to get the quantization like 2, 6, 10 which is well-known IQHE in graphene.
It will be really helpful If you kindly clear my doubts regarding this.
Thanking You, Priyanka Sinha
participants (2)
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Anton Akhmerov -
MS. PRIYANKA SINHA