Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
1999-04-26
J. Phys. : Condens. Matter vol. 12 p. 3041 (2000)
Physics
Condensed Matter
Strongly Correlated Electrons
RevTeX, 43 pages, 5 EPS figures
Scientific paper
10.1088/0953-8984/12/13/315
We show that the low-energy physics of the spin-tube model in presence of a critical magnetic field can be described by a broken SU(3) spin chain. Using the Lieb-Schultz-Mattis Theorem we characterize the possible magnetization plateaus and study the critical behavior in the region of transition between the plateaus m=1/2 and m=3/2 by means of renormalization group calculations performed on the bosonized effective continuum field theory. We show that in certain regions of the parameter space of the effective theory the system remains gapless, and we compute the spin-spin correlation functions in these regions. We also discuss the possibility of a plateau at m=1, and show that although there exists in the continuum theory a term that might cause the appearance of a plateau there, such term is unlikely to be relevant. This conjecture is proved by DMRG techniques. The modifications of the three-leg ladder Hamiltonian that might show plateaus at m =1,5/6,7/6 are discussed, and we give the expected form of correlation functions on the m=1 plateau.
Andrei Natan
Citro Roberta
Itoi Chigak
Orignac Edmond
Qin Shaojing
No associations
LandOfFree
Critical behaviour of a spin-tube model in a magnetic field 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 Critical behaviour of a spin-tube model in a magnetic field, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Critical behaviour of a spin-tube model in a magnetic field will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-54133