Novel families of SU \((N)\) AKLT states with arbitrary self-conjugate edge states

DOI10.1016/j.nuclphysb.2019.114663zbMath1430.82014arXiv1904.01822OpenAlexW3022033987MaRDI QIDQ2295533

Ian Affleck, Didier Poilblanc, Samuel Gozel, Frédéric Mila

Publication date: 13 February 2020

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.01822

Mathematics Subject Classification ID

Phase transitions (general) in equilibrium statistical mechanics (82B26) Quantum equilibrium statistical mechanics (general) (82B10) Applications of group representations to physics and other areas of science (20C35) Statistical mechanics of magnetic materials (82D40) Quantum coherence, entanglement, quantum correlations (81P40)

Related Items (2)

Flag manifold sigma models. Spin chains and integrable theories ⋮ Generalization of the Haldane conjecture to \(\mathrm{SU}(n)\) chains

Cites Work

• The phase transitions between \(Z_{n}\times Z_{n}\) bosonic topological phases in 1+1D, and a constraint on the central charge for the critical points between bosonic symmetry protected topological phases
• The density-matrix renormalization group in the age of matrix product states
• Phases of one-dimensional \(\mathrm{SU}(N)\) cold atomic Fermi gases -- from molecular Luttinger liquids to topological phases
• Finitely correlated states on quantum spin chains
• Hidden symmetry breaking and the Haldane phase in \(S=1\) quantum spin chains
• The spectral gap for some spin chains with discrete symmetry breaking
• Exact diagonalization of quantum-spin models
• Entanglement in anSU(n) valence-bond-solid state
• A numerical algorithm for the explicit calculation of SU(N) and $\mbox{SL}(N,\mathbb {C})$SL(N,C) Clebsch–Gordan coefficients
• A Quantum Version of Wielandt's Inequality

This page was built for publication: Novel families of SU \((N)\) AKLT states with arbitrary self-conjugate edge states