Physics – Mathematical Physics
Scientific paper
2002-04-06
Phys. Rev. B., 66 (2002) 064429
Physics
Mathematical Physics
13 pages, 8 figures
Scientific paper
10.1103/PhysRevB.66.064429
We investigate the effect of a magnetic field supported at a single lattice site on the low-energy spectrum of the ferromagnetic Heisenberg XXZ chain. Such fields, caused by impurities, can modify the low-energy spectrum significantly by pinning certain excitations, such as kink and droplet states. We distinguish between different boundary conditions (or sectors), the direction and also the strength of the magnetic field. E.g., with a magnetic field in the z-direction applied at the origin and ++ boundary conditions, there is a critical field strength B_c (which depends on the anisotropy of the Hamiltonian and the spin value) with the following properties: for B < B_c there is a unique ground state with a gap, at the critical value, B_c, there are infinitely many (droplet) ground states with gapless excitations, and for B>B_c there is again a unique ground state but now belonging to the continuous spectrum. In contrast, any magnetic field with a non-vanishing component in the xy-plane yields a unique ground state, which, depending on the boundary conditions, is either an (anti)kink, or an (anti)droplet state. For such fields, i.e., not aligned with the z-axis, excitations always have a gap and we obtain a rigorous lower bound for that gap.
Contucci Pierluigi
Nachtergaele Bruno
Spitzer Wolfgang L.
No associations
LandOfFree
The Ferromagnetic Heisenberg XXZ chain in a pinning 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 Ferromagnetic Heisenberg XXZ chain in a pinning field, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Ferromagnetic Heisenberg XXZ chain in a pinning field will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-550848