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- W4386044218 abstract "It is known that $n$-degenerate Landau levels with the same spin-valley quantum number can be realized by $n$-layer graphene with rhombohedral stacking under magnetic field $B$. We find that the wave functions of degenerate Landau levels are concentrated at the surface layers of the multi-layer graphene if the dimensionless ratio $eta = gamma_1/(v_Fsqrt{2ehbar B/c}) approx 9/sqrt{B[text{Tesla}]} gg 1$, where $gamma_1$ is the interlayer hopping energy and $v_F$ the Fermi velocity of single-layer graphene. This allows us to suggest that: 1) filling fraction $nu=frac12$ (or $nu_n = 5frac12$) non-Abelian state with Ising anyon can be realized in three-layer graphene for magnetic field $ B in [ 2 , 9] $ Tesla; 2) filling fraction $nu=frac23$ (or $nu_n = 7frac13$) non-Abelian state with Fibonacci anyon can be realized in four-layer graphene for magnetic field $ B in [ 5 , 9] $ Tesla. Here, $nu$ is the total filling fraction in the degenerate Landau levels, and $nu_n$ is the filling fraction measured from charge neutrality point which determines the measured Hall conductance. We have assumed the following conditions to obtain the above results: the exchange effect of Coulomb interaction polarizes the $SU(4)$ spin-valley quantum number in the degenerate Landau levels and effective dielectric constant $epsilon gtrsim 10$ to reduce the Coulomb interaction. The high density of states of multi-layer graphene helps to reduce the Coulomb interaction via screening." @default.
- W4386044218 created "2023-08-22" @default.
- W4386044218 creator A5011861999 @default.
- W4386044218 creator A5072166156 @default.
- W4386044218 date "2023-08-18" @default.
- W4386044218 modified "2023-10-12" @default.
- W4386044218 title "Non-Abelian Fibonacci quantum Hall states in 4-layer rhombohedral stacked graphene" @default.
- W4386044218 doi "https://doi.org/10.48550/arxiv.2308.09702" @default.
- W4386044218 hasPublicationYear "2023" @default.
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