How Long to Read Landau Level Mixing Effects on Fractional Quantum Hall Energies in Graphene Via Monte Carlo

By Uriel Fernando Hernandez

How Long Does it Take to Read Landau Level Mixing Effects on Fractional Quantum Hall Energies in Graphene Via Monte Carlo?

It takes the average reader 1 hour and 34 minutes to read Landau Level Mixing Effects on Fractional Quantum Hall Energies in Graphene Via Monte Carlo by Uriel Fernando Hernandez

Assuming a reading speed of 250 words per minute. Learn more

Description

Abstract: The effect of Landau level mixing of graphene under fractional quantum Hall effect conditions is examined theoretically. A parallelized Monte Carlo program is developed to obtain estimates for the expectation values of the ground state energy eigenstates of composite fermion wavefunctions in the lowest Landau level where the emergent three-body terms due to Landau level mixing vanish exactly. To incorporate the effects of Landau level mixing on the remaining two-body terms of the Hamiltonian, an effective potential V_{eff}=1/r+\sum_{i=0}^{M}C_{i}r^{i}e^{-r} is used to model the interaction. The Monte Carlo program is benchmarked by comparing its results to those obtained via exact diagonalization using effective Haldane pseudopotentials. Energy estimates for filling factors [nu] = 1/3, 2/5, and 3/7 are obtained and analyzed for various system sizes and strength of Landau level mixing. Estimates for the energies in the thermodynamic limit are obtained using two different methods.

How long is Landau Level Mixing Effects on Fractional Quantum Hall Energies in Graphene Via Monte Carlo?

Landau Level Mixing Effects on Fractional Quantum Hall Energies in Graphene Via Monte Carlo by Uriel Fernando Hernandez is 93 pages long, and a total of 23,529 words.

This makes it 31% the length of the average book. It also has 29% more words than the average book.

How Long Does it Take to Read Landau Level Mixing Effects on Fractional Quantum Hall Energies in Graphene Via Monte Carlo Aloud?

The average oral reading speed is 183 words per minute. This means it takes 2 hours and 8 minutes to read Landau Level Mixing Effects on Fractional Quantum Hall Energies in Graphene Via Monte Carlo aloud.

What Reading Level is Landau Level Mixing Effects on Fractional Quantum Hall Energies in Graphene Via Monte Carlo?

Landau Level Mixing Effects on Fractional Quantum Hall Energies in Graphene Via Monte Carlo is suitable for students ages 10 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy Landau Level Mixing Effects on Fractional Quantum Hall Energies in Graphene Via Monte Carlo?

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