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We consider the Hall conductivity of composite fermions in the theory of Halperin, Lee, and Read (HLR).
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2016
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In the remainder of the paper, we set e = ℏ = 1 e=\hbar=1 making the quantum of conductance e 2 h = 1 2 π \frac{e^{2}}{h}=\frac{1}{2\pi}
Cited in the paper.
Particle-hole symmetry in the LLL is broken by a quenched random chemical potential. However, disorder-averaged conductivities can be particle-hole symmetric, if the disorder has vanishing moments V ( 𝐱 1 ) ⋯ V ( 𝐱 m ) ¯ = 0 \overline{V({\bf x}_{1})\cdots V({\bf x}_{m})}=0 for all odd m m
Cited in the paper.
See [ 19 , 18 , 20 , 17 ] for other studies contrasting the HLR and Dirac composite fermion theories and earlier numerical work [ 21 , 22 ] that found evidence for a particle-hole symmetric electron ground state at ν = 1 / 2 \nu=1/2
Cited in the paper.
There can be extended states at half-filling if the lattice is bipartite. However, this is highly non-generic, and we will ignore this possibility
Cited in the paper.
2017
Later among the works it cites.
P. Kumar, M. Mulligan, and S. Raghu, “Topological phase transition underpinning particle-hole symmetry in the halperin-lee-read theory,” Phys. Rev. B
2018
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