Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2007-09-18
Phys. Rev. E 77, 011104 (2008)
Physics
Condensed Matter
Statistical Mechanics
6 pages, 5 figures
Scientific paper
10.1103/PhysRevE.77.011104
The recently developed tensor renormalization-group (TRG) method provides a highly precise technique for deriving thermodynamic and critical properties of lattice Hamiltonians. The TRG is a local coarse-graining transformation, with the elements of the tensor at each lattice site playing the part of the interactions that undergo the renormalization-group flows. These tensor flows are directly related to the phase diagram structure of the infinite system, with each phase flowing to a distinct surface of fixed points. Fixed-point analysis and summation along the flows give the critical exponents, as well as thermodynamic functions along the entire temperature range. Thus, for the ferromagnetic triangular lattice Ising model, the free energy is calculated to better than 10^-5 along the entire temperature range. Unlike previous position-space renormalization-group methods, the truncation (of the tensor index range D) in this general method converges under straightforward and systematic improvements. Our best results are easily obtained with D = 24, corresponding to 4624-dimensional renormalization-group flows.
Berker Nihat A.
Hinczewski Michael
No associations
LandOfFree
High-Precision Thermodynamic and Critical Properties from Tensor Renormalization-Group Flows 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 High-Precision Thermodynamic and Critical Properties from Tensor Renormalization-Group Flows, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and High-Precision Thermodynamic and Critical Properties from Tensor Renormalization-Group Flows will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-456793