Instability of the ferromagnetic ground state in a quantum spin chain with competing interactions

1990 ◽  
Vol 90-91 ◽  
pp. 234-236 ◽  
Author(s):  
I. Harada ◽  
T. Tonegawa
Keyword(s):  
Ground State ◽  
Spin Chain ◽  
Quantum Spin ◽  
Quantum Spin Chain ◽  
Competing Interactions ◽  
Ferromagnetic Ground State

DISORDER LINE IN A QUANTUM SPIN CHAIN WITH COMPETING INTERACTIONS

1988 ◽  
Vol 49 (C8) ◽  
pp. C8-1409-C8-1410
Author(s):  
I. Harada ◽  
T. Kimura ◽  
T. Tonegawa
Keyword(s):  
Spin Chain ◽  
Quantum Spin ◽  
Quantum Spin Chain ◽  
Competing Interactions

Bethe Ansatz for the Anisotropic Heisenberg Quantum Spin Chain

2019 ◽  
pp. 502-544
Author(s):  
Hans-Peter Eckle
Keyword(s):  
Wave Function ◽  
Boundary Conditions ◽  
Bethe Ansatz ◽  
Ground State ◽  
Spin Chain ◽  
Energy Eigenvalue ◽  
Quantum Spin ◽  
Quantum Spin Chain ◽  
Complex Solutions ◽  
New Variables

This chapter verifies the conjecture for the wave function, the Bethe ansatz wave function, of the anisotropic Heisenberg quantum spin chain by examining first the cases for one, two, and three spin deviations. The equations determining the quasi- momenta are the Bethe ansatz equations, now obtained from the coordinate Bethe ansatz. The Bethe ansatz equations derive from the eigenvalue equation in combination with boundary conditions, here periodic boundary conditions. These quasi-momenta also determine the energy eigenvalue. However, solving the Bethe ansatz equations to obtain a particular state requires more considerations. New variables, called rapidities, are useful. The consideration of the thermodynamic limit then allows to extract information about the ground state and low-lying excitations of the anisotropic quantum spin chain from the Bethe ansatz equations. Furthermore, complex solutions of the Bethe ansatz equations, called strings, are considered.

scholarly journals Ground-state phase diagram of S = 2 quantum spin chain with the XXZ and on-site anisotropies

2011 ◽  
Vol 302 ◽  
pp. 012014 ◽  
Author(s):  
Kiyomi Okamoto ◽  
Takashi Tonegawa ◽  
Hiroki Nakano ◽  
Tôru Sakai ◽  
Kiyohide Nomura ◽  
...  
Keyword(s):  
Phase Diagram ◽  
Ground State ◽  
Spin Chain ◽  
Quantum Spin ◽  
Quantum Spin Chain ◽  
Ground State Phase Diagram

Measuring the excitations in a new S  =  1/2 quantum spin chain material with competing interactions

2018 ◽  
Vol 30 (21) ◽  
pp. 215602
Author(s):  
K C Rule ◽  
R A Mole ◽  
J Zanardo ◽  
A Krause-Heuer ◽  
T Darwish ◽  
...  
Keyword(s):  
Spin Chain ◽  
Quantum Spin ◽  
Quantum Spin Chain ◽  
Competing Interactions
Sign in / Sign up

Export Citation Format

Share Document