Spectrum of noncollinear metastable configurations of a finite-size discrete planar spin chain with a collinear ferromagnetic ground state

2015 ◽  
Vol 92 (2) ◽  
Author(s):  
Alexander P. Popov ◽  
Angelo Rettori ◽  
Maria Gloria Pini
1997 ◽  
Vol 12 (04) ◽  
pp. 801-838 ◽  
Author(s):  
N. Fumita ◽  
H. Itoyama ◽  
T. Oota

We determine the motions of the roots of the Bethe ansatz equation for the ground state in the XXZ spin chain under a varying twist angle. This is done by analytic as well as numerical study in a finite size system. In the attractive critical regime 0 < Δ < 1, we reveal intriguing motions of strings due to the finite size corrections to the length of the strings: in the case of two-strings, the roots collide into the branch points perpendicularly to the imaginary axis, while in the case of three-strings, they fluctuate around the center of the string. These are successfully generalized to the case of n-string. These results are used to determine the final configuration of the momenta as well as that of the phase shift functions. We obtain these as well as the period and the Berry phase in the regime Δ ≤ -1 also, establishing the continuity of the previous results at -1 < Δ < 0 to this regime. We argue that the Berry phase can be used as a measure of the statistics of the quasiparticle (or the bound state) involved in the process.


2017 ◽  
Vol 56 (24) ◽  
pp. 14842-14849 ◽  
Author(s):  
Liurukara D. Sanjeewa ◽  
Vasile O. Garlea ◽  
Michael A. McGuire ◽  
Matthias Frontzek ◽  
Colin D. McMillen ◽  
...  

2012 ◽  
Vol 26 (22) ◽  
pp. 1250141 ◽  
Author(s):  
HANLI LIAN

By calculating the Berry Phase (BP) of a central spin, the quantum criticality of the surrounding environment described by an XY spin chain with the three-site interaction in a transverse magnetic field is explored. The BP presents anomalous behavior along the critical region. The finite-size scaling behaviors suggest that the BP of the central spin can well capture the critical properties of the XY spin chain with the three-site interaction.


1999 ◽  
Vol 60 (14) ◽  
pp. 10362-10366 ◽  
Author(s):  
E. Saitoh ◽  
Y. Okimoto ◽  
Y. Tomioka ◽  
T. Katsufuji ◽  
Y. Tokura

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