Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2003-10-02
J. Phys. A: Math. Gen. vol.36 (2003) R381
Physics
Condensed Matter
Strongly Correlated Electrons
33 pages, 18 figures; corrected Eq.(117)
Scientific paper
10.1088/0305-4470/36/37/201
The density matrix renormalization group (DMRG) method and its applications to finite temperatures and two-dimensional systems are reviewed. The basic idea of the original DMRG method, which allows precise study of the ground state properties and low-energy excitations, is presented for models which include long-range interactions. The DMRG scheme is then applied to the diagonalization of the quantum transfer matrix for one-dimensional systems, and a reliable algorithm at finite temperatures is formulated. Dynamic correlation functions at finite temperatures are calculated from the eigenvectors of the quantum transfer matrix with analytical continuation to the real frequency axis. An application of the DMRG method to two-dimensional quantum systems in a magnetic field is demonstrated and reliable results for quantum Hall systems are presented.
No associations
LandOfFree
Application of the density matrix renormalization group method to finite temperatures and two-dimensional systems 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 Application of the density matrix renormalization group method to finite temperatures and two-dimensional systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Application of the density matrix renormalization group method to finite temperatures and two-dimensional systems will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-211778