Haruki Watanabe: Spontaneous Symmetry Breaking and Low-Energy Excitations in Gapless Frustration...
Автор: PCS Institute for Basic Science
Загружено: 2025-03-18
Просмотров: 87
Title: Spontaneous Symmetry Breaking and Low-Energy Excitations in Gapless Frustration Free Systems
Abstract:
Frustration-free Hamiltonians, such as the AKLT model and the Kitaev toric code, have helped us understand non-trivial topological phases of matters. In recent years, studies on gapless frustration-free Hamiltonians revealed that their finite-size gaps and low-energyexcitations tend to behave differently from conventional systems. As a consequence, spontaneous breaking of continuous symmetries may occur even in one dimension, contrary to the Hohenberg-Mermin-Wagner theorem. In this talk, we will review recent theoretical advances in understanding on the general properties of gapless frustration-free systems.
References:
HW, H. Katsura, J.-Y. Lee, arXiv:2310.16881
R. Masaoka, T. Soejima, HW, arXiv:2406.06414
R. Masaoka, T. Soejima, HW, arXiv:2406.06415
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