Density of states and phase diagram of the antiferromagnetic spin chain with Dzyaloshinsky–Moriya interaction and spin-phonon coupling

2007 ◽  
Vol 390 (1-2) ◽  
pp. 52-58 ◽  
Author(s):  
Qin Wang ◽  
Hong Chen ◽  
Hang Zheng
Keyword(s):  
Phase Diagram ◽  
Density Of States ◽  
Spin Chain ◽  
Phonon Coupling ◽  
Antiferromagnetic Spin ◽  
Moriya Interaction

scholarly journals Majorana fermion representation for an antiferromagnetic spin- chain

1997 ◽  
Vol 55 (5) ◽  
pp. 2988-2994 ◽  
Author(s):  
B. Sriram Shastry ◽  
Diptiman Sen
Keyword(s):  
Spin Chain ◽  
Majorana Fermion ◽  
Antiferromagnetic Spin

CRITICAL EXPONENTS FOR ANTIFERROMAGNETIC SPIN CHAINS OBTAINED FROM BOSONISATION

2012 ◽  
Vol 11 ◽  
pp. 183-190 ◽  
Author(s):  
MARCEL KOSSOW ◽  
PETER SCHUPP ◽  
STEFAN KETTEMANN
Keyword(s):  
Critical Exponent ◽  
Quantum Hall Effect ◽  
Critical Exponents ◽  
Spin Chain ◽  
Quantum Hall ◽  
Spin Chains ◽  
Special Focus ◽  
Heisenberg Spin ◽  
First Order ◽  
Antiferromagnetic Spin

The Heisenberg spin 1/2 chain is revisited in the perturbative RG approach with special focus on the transition of the critical exponents. We give a compact review that first order RG in the couplings is sufficient to derive the exact transition from ν = 1 to ν = 2/3, if the boson radius obtained in the bosonization procedure is replaced by the exact radius obtained in the Bethe approach. We explain the fact, that from the bosonization procedure alone, the critical exponent can not be derived correctly in the isotropic limit Jz → J. We further state that this fact is important if we consider to bosonize the antiferromagnetic super spin chain for the quantum Hall effect.

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