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Intrinsically/Purely Gapless-SPT from Non-Invertible Duality Transformations
Linhao Li, Masaki Oshikawa, Yunqin Zheng
The Kennedy-Tasaki (KT) transformation was used to construct the gapped symmetry protected topological (SPT) phase from the symmetry breaking phase with open boundary condition, an…
Lieb-Schultz-Mattis Theorem for 1D Quantum Magnets with Antiunitary Translation and Inversion Symmetries
Yuan Yao, Linhao Li, Masaki Oshikawa +1
We study quantum many-body systems in the presence of an exotic antiunitary translation or inversion symmetry involving time reversal. Based on a symmetry-twisting method and spect…
Finite-size and finite bond dimension effects of tensor network renormalization
Atsushi Ueda, Masaki Oshikawa
We propose a general procedure for extracting the running coupling constants of the underlying field theory of a given classical statistical model on a two-dimensional lattice, com…
Many-body multipole index and bulk-boundary correspondence
Yasuhiro Tada, Masaki Oshikawa
We propose new dipole and quadrupole indices for interacting insulators with point group symmetries. The proposed indices are defined in terms of many-body quantum multipole operat…
Non-Invertible Duality Transformation Between SPT and SSB Phases
Linhao Li, Masaki Oshikawa, Yunqin Zheng
In 1992, Kennedy and Tasaki constructed a non-local unitary transformation that maps between a spontaneously symmetry breaking phase and the Halda…