Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2002-06-13
Phys. Rev. B 68, 115104 (2003)
Physics
Condensed Matter
Strongly Correlated Electrons
16 pages, 5 figures, 4 tables. Revised manuscript; a misprint in Eq. B3 has been corrected. The paper is already in print in P
Scientific paper
10.1103/PhysRevB.68.115104
We consider the problem of two coupled Luttinger liquids both at half filling and at low doping levels, to investigate the problem of competing orders in quasi-one-dimensional strongly correlated systems. We use bosonization and renormalization group equations to investigate the phase diagrams, to determine the allowed phases and to establish approximate boundaries among them. Because of the chiral translation and reflection symmetry in the charge mode away from half filling, orders of charge density wave (CDW) and spin-Peierls (SP) diagonal current (DC) and $d$-density wave (DDW) form two doublets and thus can be at most quasi-long range ordered. At half-filling, umklapp terms break this symmetry down to a discrete group and thus Ising-type ordered phases appear as a result of spontaneous breaking of the residual symmetries. Quantum disordered Haldane phases are also found, with finite amplitudes of pairing orders and triplet counterparts of CDW, SP, DC and DDW. Relations with recent numerical results and implications to similar problems in two dimensions are discussed.
Fradkin Eduardo
Liu Vincent W.
Wu Congjun
No associations
LandOfFree
Competing Orders in Coupled Luttinger Liquids does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Competing Orders in Coupled Luttinger Liquids, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Competing Orders in Coupled Luttinger Liquids will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-97931