Effective Hamiltonian in the Problem of a "Central Spin" Coupled to a Spin Environment

Details Effective Hamiltonian in the Problem of a "Central Spin" Coupled to a Spin Environment Effective Hamiltonian in the Problem of a "Central Spin" Coupled to a Spin Environment

1997-08-26

arxiv.org/abs/cond-mat/9708199v1

To be published in Int. J. Mod. Phys. B11, No.24 (Sept. 30, 1997)

Physics

Condensed Matter

15 pages, Latex, with 9 ps figures

Scientific paper

We consider here the problem of a "giant spin", with spin quantum number S>>1, interacting with a set of microscopic spins. Interactions between the microscopic spins are ignored. This model describes the low-energy properties of magnetic grains or magnetic macromolecules interacting with a surrounding spin environment, such as nuclear spins. We describe a general method for truncating the model to another one, valid at low energies, in which a two-level system interacts with the environmental spins, and higher energy terms are absorbed into a new set of couplings. This is done using an instanton technique. We then verify the accuracy of this technique, by comparing the results for the low energy effective Hamiltonian, with results derived for the original giant spin, coupled to a microscopic spin, using exact diagonalisation techniques.

Affiliated with

Also associated with

No associations

Rating

Effective Hamiltonian in the Problem of a "Central Spin" Coupled to a Spin Environment 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 Effective Hamiltonian in the Problem of a "Central Spin" Coupled to a Spin Environment, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Effective Hamiltonian in the Problem of a "Central Spin" Coupled to a Spin Environment will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-583094