scholarly journals Infinite randomness with continuously varying critical exponents in the random XYZ spin chain

2021 ◽  
Vol 104 (21) ◽  
Author(s):  
Brenden Roberts ◽  
Olexei I. Motrunich
Keyword(s):  
Critical Exponents ◽  
Spin Chain

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.

scholarly journals Critical Exponents of the Heisenberg Spin Chain

1986 ◽  
Vol 56 (15) ◽  
pp. 1617-1617 ◽  
Author(s):  
Jill C. Bonner ◽  
Gerhard Müller
Keyword(s):  
Critical Exponents ◽  
Spin Chain ◽  
Heisenberg Spin ◽  
Heisenberg Spin Chain

scholarly journals Threshold singularities in the XXZ-spin chain

2020 ◽  
pp. 2150044
Author(s):  
A. A. Ovchinnikov
Keyword(s):  
Magnetic Field ◽  
Spectral Density ◽  
Critical Exponents ◽  
Spin Chain ◽  
Phase Shifts ◽  
Lower Threshold ◽  
Zero Magnetic Field ◽  
Hamiltonian Approach ◽  
Threshold Singularity

We calculate the critical exponents of the threshold singularity for the spectral density of the XXZ-spin chain at zero magnetic field for the lower threshold. We show that the corresponding phase shifts are momentum independent and coincide with predictions of the effective mobile impurity Hamiltonian approach.

Critical exponents for Ising-like systems on Sierpinski carpets

1987 ◽  
Vol 48 (4) ◽  
pp. 553-558 ◽  
Author(s):  
B. Bonnier ◽  
Y. Leroyer ◽  
C. Meyers
Keyword(s):  
Critical Exponents ◽  
Sierpinski Carpets

scholarly journals Magnetic and magnetodielectric coupling anomalies in the Haldane spin-chain system Nd2BaNiO5

AIP Advances ◽  
2015 ◽  
Vol 5 (3) ◽  
pp. 037128 ◽  
Author(s):  
Tathamay Basu ◽  
Niharika Mohapatra ◽  
Kiran Singh ◽  
E. V. Sampathkumaran
Keyword(s):  
Spin Chain ◽  
Chain System
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