Critical Theory of Two-Dimensional Mott Transition: Integrability and Hilbert Space Mapping

• 作者: Federico L. Bottesi Guillermo R. Zemba
• 来源期刊: 现代物理(英文)
• 学科: 数学
• 关键词: MOTT Transition Conformal FIELD THEORY CHERN-SIMONS THEORY Effective FIELD THEORY Quantum Groups INTEGRABLE Models Strongly Correlated Electrons
• 年，卷（期）: 2015,（5）
• 页码范围: 634-639
• 页数: 6页
• 分类号: O1

摘要

We reconsider the Mott transition in the context of a two-dimensional fermion model with density-density coupling. We exhibit a Hilbert space mapping between the original model and the Double Lattice Chern-Simons theory at the critical point by use of the representation theory of the q-oscillator and Weyl algebras. The transition is further characterized by the ground state modification. The explicit mapping provides a new tool to further probe and test the detailed physical properties of the fermionic lattice model considered here and to enhance our understanding of the Mott transition(s).