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CritPt / Challenge_44_main / Consider the Kitaev honeycomb model at the isotropic limit (assuming…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

code template

Code

def answer():
    r"""
    Return the total number of degenerate ground states, how many of those lie in the flux-free sector and the value of ground state energy.

    Inputs
    ----------
    None

    Outputs
    ----------
    N_total : total number of degenerate ground states.
    N_flux_free : number of degenerate ground states in the flux‐free sector.
    E_ground : float, ground state energy.
    """

    # ------------------ FILL IN YOUR RESULTS BELOW ------------------
    N_total = ...
    N_flux_free = ...
    E_ground = ...
    # ---------------------------------------------------------------

    return N_total, N_flux_free, E_ground

problem description

# Problem setup: Consider the Kitaev honeycomb model at the isotropic limit (assuming

J_x=J_y=J_z=1

) on a 3x2 Bravais lattice with periodic boundary conditions. # Main problem: How many degenerate ground states are there? How many of them are in the flux-free sector? Compute the energy of the ground states with three decimal precision.

Plain-text mathematical notation (without MathML)

# Problem setup:
Consider the Kitaev honeycomb model at the isotropic limit (assuming J_(x)=J_(y)=J_(z)=1) on a 3x2 Bravais lattice with periodic boundary conditions.

# Main problem:
How many degenerate ground states are there? How many of them are in the flux-free sector? Compute the energy of the ground states with three decimal precision.

Original LaTeX notation

# Problem setup:
Consider the Kitaev honeycomb model at the isotropic limit (assuming $J_x=J_y=J_z=1$) on a 3x2 Bravais lattice with periodic boundary conditions.

# Main problem:
How many degenerate ground states are there? How many of them are in the flux-free sector? Compute the energy of the ground states with three decimal precision.

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Source and history

upstream_id / Original problem ID: Challenge_44_main
task_id: 3d6dcf73-116a-5217-8a0e-e0e4af721133
task_key: train--Challenge~5f44~5fmain
task_revision_id: 1
config / split: / train

Official source

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