AOA-11 Arctic Circle Phenomenon and magnetic fragmentation in a square lattice based frustrated spin system
In frustrated spin systems, the ground state manifold (i.e., the family of states of lowest energy), is often defined by local constrains inherited both from the frustrated nature of spin interactions and the local topology. These constraints (e.g., an analogue of the Gauss law in electromagnetism)...
| Main Authors: | , , , |
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| Format: | Article in Journal/Newspaper |
| Language: | unknown |
| Published: |
Underline Science Inc.
2021
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| Online Access: | https://dx.doi.org/10.48448/pc75-gn20 https://underline.io/lecture/44596-aoa-11--arctic-circle-phenomenon-and-magnetic-fragmentation-in-a-square-lattice-based-frustrated-spin-system |
| Summary: | In frustrated spin systems, the ground state manifold (i.e., the family of states of lowest energy), is often defined by local constrains inherited both from the frustrated nature of spin interactions and the local topology. These constraints (e.g., an analogue of the Gauss law in electromagnetism) give rise to exotic phases at low temperature, for instance spin liquids hosting very peculiar dynamics: magnetic monopoles, loop-like excitations, etc. In some precise cases, a phenomenon called magnetic fragmentation can arise, where each individual spin splits into two parts: one contributing to an ordered phase and the other to a highly fluctuating one. The phase arising from such phenomenon then displays both a mean ordered background and structured liquid-like fluctuations [1]. While frustrated spin systems have been studied widely under open or periodic boundaries conditions, recent interest has been given to a specific kind of boundaries in 2D: Domain Wall Boundary Conditions.<br/>By fixing the spins on the borders of the system in a controlled way and thus adding another set of constraints to the system, the collective organisation unexpectedly propagates very far from the border and into the system’s bulk. This careful choice of the border constraints spectacularly results in a spontaneous phase separation of the system: an extensive part located in the corners freezes while a central circular one is partially polarized and fluctuates. This phenomenon is known as the Arctic Circle Phenomenon [2]. In this work we propose a new carefully designed frustrated spin model on the square lattice and some associated Domain Wall Boundary Conditions. Thanks to a Monte Carlo approach we show that it both exhibits magnetic fragmentation and an Arctic Circle Phenomenon at low temperature. |
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