Symmetry Protected Dynamical Symmetry in the Generalized Hubbard Models

Generalized partial dynamical symmetry in nuclei.

We introduce the notion of a generalized partial dynamical-symmetry for which part of the eigenstates have part of the dynamical symmetry. This general concept is illustrated with the example of Hamiltonians with a partial dynamical O(6) symmetry in the framework of the interacting boson model. The resulting spectrum and electromagnetic transitions are compared with empirical data in 162Dy.

Universal Hubbard Models with Arbitrary Symmetry

We propose a general framework that leads to one-dimensional XX and Hubbard models in full generality, based on the decomposition of an arbitrary vector space (possibly infinite dimensional) into a direct sum of two subspaces, the two corresponding orthogonal projectors allowing one to define a R-matrix of a universal XX model, and then of a Hubbard model using a Shastry type construction. The ...

Hubbard Models with Superconducting Quantum Symmetry

where a†iσ , aiσ are fermionic operators for electrons of spin σ ∈ {↑, ↓} at site i of the lattice, niσ ≡ a † iσaiσ, and 〈i, j〉 denotes nearest neighbor sites i 6= j. The model is given in grand canonical form; μ fixes the average number 〈 ∑ i,σ niσ〉 of electrons. The first term is a local on-site interaction; for u > 0 it describes a repulsive Coulomb interaction, for u < 0 it yields an effect...

Universal symmetry-protected topological invariants for symmetry-protected topological states

Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. The MIT Faculty has made this article openly available. Please share how this access benefits you. Your story matters. Symmetry-protected topological (SPT) states are short-range entangled states with a symmetry G. They belong to a ne...

XXZ model as effective Hamiltonian for generalized Hubbard models with broken η-symmetry