We demonstrate that hidden long range order is always present in the gapped phases of interacting fermionic systems on one dimensional lattices. It is captured by correlation functions of appropriate nonlocal charge and/or spin operators, which remain asymptotically finite. The corresponding microscopic orders are classified. The results are confirmed by DMRG numerical simulation of the phase diagram of the extended Hubbard model, and of a Haldane insulator phase.

How hidden orders generate gaps in one-dimensional fermionic systems / Barbiero, L.; Montorsi, Arianna; Roncaglia, Marco. - In: PHYSICAL REVIEW. B, CONDENSED MATTER AND MATERIALS PHYSICS. - ISSN 1098-0121. - STAMPA. - 88:(2013), pp. 035109-1-035109-5. [10.1103/PhysRevB.88.035109]

How hidden orders generate gaps in one-dimensional fermionic systems

Barbiero L.;MONTORSI, Arianna;RONCAGLIA, MARCO
2013

Abstract

We demonstrate that hidden long range order is always present in the gapped phases of interacting fermionic systems on one dimensional lattices. It is captured by correlation functions of appropriate nonlocal charge and/or spin operators, which remain asymptotically finite. The corresponding microscopic orders are classified. The results are confirmed by DMRG numerical simulation of the phase diagram of the extended Hubbard model, and of a Haldane insulator phase.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/2513769
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