报告题目: |
Existence of featureless paramagnets on the square and the honeycomb lattices in 2+1 dimensions |
报告人: |
Chao-Ming Jian 简超明 |
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Stanford University
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报告时间: |
2016-07-05 15:30 |
报告地点: |
高等研究院 科学馆322报告厅 |
主办单位: |
高等研究院 |
简介: |
The peculiar features of quantum magnetism sometimes forbid the existence of gapped “featureless” paramagnets which are fully symmetric and unfractionalized. The Lieb-Schultz-Mattis theorem is an example of such a constraint, but it is not known what the most general restriction might be. We focus on the existence of featureless paramagnets on the spin-1 square lattice and the spin-1 and spin-1/2 honeycomb lattice with spin rotation and space group symmetries in 2+1 dimensions. Although featureless paramagnet phases are not ruled out by any existing theorem, field theoretic arguments disfavor their existence. Nevertheless, by generalizing the construction of Affleck, Kennedy, Lieb, and Tasaki to a class we call “slave-spin” states, we propose featureless wave functions for these models. We will provide numerical evidence for the featurelessness of these slave-spin states on the square and honeycomb lattices.
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