Duality approach to one-dimensional degenerate electronic systems

• Published in: Nuclear physics. B Vol. 822; no. 3; pp. 367 - 407
• Main Authors: Boulat, E., Azaria, P., Lecheminant, P.
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.12.2009
• Subjects: Coupled chains; Duality symmetry; Electronic ladders; Perturbed conformal field theory; Strongly correlated electrons; 71.10.Fd; 71.10.Hf; Strongly correlated electrons; 71.10.Pm; Electronic ladders; Coupled chains; Perturbed conformal field theory; Duality symmetry
• ISSN: 0550-3213; 1873-1562
• DOI: 10.1016/j.nuclphysb.2009.06.020

We investigate the possible classification of zero-temperature spin-gapped phases of multicomponent electronic systems in one spatial dimension. At the heart of our analysis is the existence of non-perturbative duality symmetries which emerge within a low-energy description. These dualities fall into a finite number of classes that can be listed and depend only on the algebraic properties of the symmetries of the system: its physical symmetry group and the maximal continuous symmetry group of the interaction. We further characterize possible competing orders associated to the dualities and discuss the nature of the quantum phase transitions between them. Finally, as an illustration, the duality approach is applied to the description of the phases of two-leg electronic ladders at incommensurate filling.