Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2006-04-18
Phys. Rev. B. 73, 54410 (2006)
Physics
Condensed Matter
Strongly Correlated Electrons
6 pages and 4 figures
Scientific paper
10.1103/PhysRevB.73.054410
We have calculated numerically the gap exponent of the anisotropic Heisenberg model in the presence of the transverse magnetic field. We have implemented the modified Lanczos method to obtain the excited states of our model with the same accuracy of the ground state. The coefficient of the leading term in the perturbation expansion diverges in the thermodynamic limit (N --> infinity). We have obtained the relation between this divergence and the scaling behaviour of the energy gap. We have found that the opening of gap in the presence of transverse field scales with a critical exponent which depends on the anisotropy parameter (Delta). Our numerical results are in well agreement with the field theoretical approach in the whole range of the anisotropy parameter, -1 < Delta < 1.
Langari A.
Mahdavifar Saeed
No associations
LandOfFree
The gap exponent of XXZ model in a transverse 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 The gap exponent of XXZ model in a transverse field, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The gap exponent of XXZ model in a transverse field will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-196053