Droplet Excitations for the Spin-1/2 XXZ Chain with Kink Boundary Conditions

作者: Bruno Nachtergaele , Wolfgang Spitzer , Shannon Starr

DOI: 10.1007/S00023-006-0304-6

关键词:

摘要: We give a precise definition for excitations consisting of droplet size n in the XXZ chain with various choices boundary conditions, including kink conditions and prove that, each n, energies converge to condition independent value thermodynamic limit. rigorously compute an explicit formula this limiting using Bethe ansatz.

参考文章(15)
Elias M. Stein, Guido L. Weiss, Introduction to Fourier Analysis on Euclidean Spaces. ,(1971)
Tohru Koma, Bruno Nachtergaele, The complete set of ground states of the ferromagnetic XXZ chains Advances in Theoretical and Mathematical Physics. ,vol. 2, pp. 533- 558 ,(1998) , 10.4310/ATMP.1998.V2.N3.A4
Tom Kennedy, Expansions for Droplet States in the Ferromagnetic XXZ Heisenberg Chain arXiv: Mathematical Physics. ,(2003)
C.N. Yang, C.P. Yang, One-dimensional chain of anisotropic spin-spin interactions Physics Letters. ,vol. 20, pp. 9- 10 ,(1966) , 10.1016/0031-9163(66)91024-9
Bruno Nachtergaele, Wolfgang Spitzer, Shannon Starr, Ferromagnetic Ordering of Energy Levels Journal of Statistical Physics. ,vol. 116, pp. 719- 738 ,(2004) , 10.1023/B:JOSS.0000037227.24460.E5
L.D. Faddeev, L.A. Takhtajan, What is the spin of a spin wave Physics Letters A. ,vol. 85, pp. 375- 377 ,(1981) , 10.1016/0375-9601(81)90335-2
Sheng Lin Lu, Horng-Tzer Yau, Spectral gap and logarithmic Sobolev inequality for Kawasaki and Glauber dynamics Communications in Mathematical Physics. ,vol. 156, pp. 399- 433 ,(1993) , 10.1007/BF02098489
Taku Matsui, On ground states of the one-dimensional ferromagnetic XXZ model Letters in Mathematical Physics. ,vol. 37, pp. 397- 403 ,(1996) , 10.1007/BF00312671
Bruno Nachtergaele, The spectral gap for some spin chains with discrete symmetry breaking Communications in Mathematical Physics. ,vol. 175, pp. 565- 606 ,(1996) , 10.1007/BF02099509