Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2010-04-05
Phys. Rev. B 81, 224433 (2010)
Physics
Condensed Matter
Statistical Mechanics
22 pages, 17 figures. v2: published version
Scientific paper
10.1103/PhysRevB.81.224433
We study the one-dimensional spin-1/2 Heisenberg model with antiferromagnetic nearest-neighbor J_1 and next-nearest-neighbor J_2 exchange couplings in magnetic field h. With varying dimensionless parameters J_2/J_1 and h/J_1, the ground state of the model exhibits several phases including three gapped phases (dimer, 1/3-magnetization plateau, and fully polarized phases) and four types of gapless Tomonaga-Luttinger liquid (TLL) phases which we dub TLL1, TLL2, spin-density-wave (SDW_2), and vector chiral phases. From extensive numerical calculations using the density-matrix renormalization-group method, we investigate various (multiple-)spin correlation functions in detail, and determine dominant and subleading correlations in each phase. For the one-component TLLs, i.e., the TLL1, SDW_2, and vector chiral phases, we fit the numerically obtained correlation functions to those calculated from effective low-energy theories of TLLs, and find good agreement between them. The low-energy theory for each critical TLL phase is thus identified, together with TLL parameters which control the exponents of power-law decaying correlation functions. For the TLL2 phase, we develop an effective low-energy theory of two-component TLL consisting of two free bosons (central charge c=1+1), which explains numerical results of entanglement entropy and Friedel oscillations of local magnetization. Implications of our results to possible magnetic phase transitions in real quasi-one-dimensional compounds are also discussed.
Furusaki Akira
Hikihara Toshiya
Kawamura Hikaru
Momoi Tsutomu
No associations
LandOfFree
Magnetic phase diagram of the spin-1/2 antiferromagnetic zigzag ladder 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 Magnetic phase diagram of the spin-1/2 antiferromagnetic zigzag ladder, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Magnetic phase diagram of the spin-1/2 antiferromagnetic zigzag ladder will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-637341