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CritPt / Challenge_58_main / Consider a condensed matter system going through a magnetic phase transition.…

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 BNS number(s).

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

    Outputs
    ----------
    BNS_numbers: set[str], set of the BNS numbers of all possible magnetic space groups, where each BNS number should be a string
    """

    # ------------------ FILL IN YOUR RESULTS BELOW ------------------
    BNS_numbers = ...
    # ---------------------------------------------------------------

    return BNS_numbers

problem description

# Problem setup: Consider a condensed matter system going through a magnetic phase transition. Above the transition, the space group of the system is \#182, and the atoms we are interested in are located at the Wyckoff position c. Below the transition, the magnetic order is out-of-plane, and the neutron scattering shows two peaks (one at

q_1

= (0, 1/2, 0) and the other at

q_2

= (1/2, 1/2, 0)). The optical measurements show that the system has both birefringence and magneto-optic Kerr effect below the transition. # Main problem: Please specify all possible magnetic space groups for the system below the magnetic phase transition. The answer should be provided using the BNS number.

Plain-text mathematical notation (without MathML)

# Problem setup:
Consider a condensed matter system going through a magnetic phase transition. Above the transition, the space group of the system is \#182, and the atoms we are interested in are located at the Wyckoff position c. Below the transition, the magnetic order is out-of-plane, and the neutron scattering shows two peaks (one at q₁ = (0, 1/2, 0) and the other at q₂ = (1/2, 1/2, 0)). The optical measurements show that the system has both birefringence and magneto-optic Kerr effect below the transition.

# Main problem:

Please specify all possible magnetic space groups for the system below the magnetic phase transition. The answer should be provided using the BNS number.

Original LaTeX notation

# Problem setup:
Consider a condensed matter system going through a magnetic phase transition. Above the transition, the space group of the system is \#182, and the atoms we are interested in are located at the Wyckoff position c. Below the transition, the magnetic order is out-of-plane, and the neutron scattering shows two peaks (one at $q_1$ = (0, 1/2, 0) and the other at $q_2$ = (1/2, 1/2, 0)). The optical measurements show that the system has both birefringence and magneto-optic Kerr effect below the transition.

# Main problem:

Please specify all possible magnetic space groups for the system below the magnetic phase transition. The answer should be provided using the BNS number.

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Source and history

upstream_id / Original problem ID: Challenge_58_main
task_id: 766b0cc2-fead-5309-bc39-04f14f1fe8da
task_key: train--Challenge~5f58~5fmain
task_revision_id: 1
config / split: / train

Official source

initial import