Charge Order in the Blume-Capel Model on a Triangular Lattice

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Authors

Nelson, Matthew

Issue Date

2024-03-01

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Abstract

To better understand the onset of charge ordering in high-temperature superconductors, we perform Monte Carlo simulations using the Blume-Capel model on a 2D triangular lattice. By working in the canonical and grand canonical ensemble, we identify transitions in both charge and spin ordering on the lattice. To aid in this process we introduce several new measurements focused on identifying loops of spin or charge. We also make modifications to the Binder cumulant to make it applicable to the model.

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iv, 22 p.

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Kalamazoo, Mich. : Kalamazoo College.

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U.S. copyright laws protect this material. Commercial use or distribution of this material is not permitted without prior written permission of the copyright holder. All rights reserved.

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