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Emergent symmetry and transport in disordered quantum chains

Eduardo Miranda

LPS, bât 510, Moyen amphi

A common theme in low- or high-energy physics is a state with a lower symmetry than its underlying Hamiltonian/Lagrangian. A far less common situation is a low-energy state whose symmetry is greater than the bare Hamiltonian. A few examples are known in clean systems, but we have recently found a large class of strongly disordered spin chains with rich phase diagrams and such emergent symmetries at low energies. Furthermore, transport properties of these systems are of particular interest, as they offer one of the few cases where disorder and interactions can be treated rigorously. We will show that Anderson localization is robust against interactions in these systems, although care must be taken in order to characterize it correctly.


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