Plateau of the magnetization curve of the ferromagnetic-ferromagnetic-antiferromagnetic spin chain

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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Publisher Correction: Topological quantum phase transition in the Ising-like antiferromagnetic spin chain BaCo2V2O8

Nature Physics ◽

10.1038/s41567-018-0248-z ◽

2018 ◽

Vol 14 (8) ◽

pp. 867-867 ◽

Cited By ~ 1

Author(s):

Quentin Faure ◽

Shintaro Takayoshi ◽

Sylvain Petit ◽

Virginie Simonet ◽

Stéphane Raymond ◽

...

Keyword(s):

Phase Transition ◽

Quantum Phase Transition ◽

Spin Chain ◽

Quantum Phase ◽

Topological Quantum ◽

Antiferromagnetic Spin

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Effective S=2 antiferromagnetic spin chain in the salt ( o -MePy-V) FeCl4

Physical Review B ◽

10.1103/physrevb.97.085113 ◽

2018 ◽

Vol 97 (8) ◽

Cited By ~ 7

Author(s):

Y. Iwasaki ◽

T. Kida ◽

M. Hagiwara ◽

T. Kawakami ◽

Y. Hosokoshi ◽

...

Keyword(s):

Spin Chain ◽

Antiferromagnetic Spin

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Topological quantum phase transition in the Ising-like antiferromagnetic spin chain BaCo2V2O8

Nature Physics ◽

10.1038/s41567-018-0126-8 ◽

2018 ◽

Vol 14 (7) ◽

pp. 716-722 ◽

Cited By ~ 28

Author(s):

Quentin Faure ◽

Shintaro Takayoshi ◽

Sylvain Petit ◽

Virginie Simonet ◽

Stéphane Raymond ◽

...

Keyword(s):

Phase Transition ◽

Quantum Phase Transition ◽

Spin Chain ◽

Quantum Phase ◽

Topological Quantum ◽

Antiferromagnetic Spin

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Macroscopic Quantum Coherence in an Antiferromagnetic Spin Chain with Biaxial Anisotropy

Communications in Theoretical Physics ◽

10.1088/0253-6102/52/2/34 ◽

2009 ◽

Vol 52 (2) ◽

pp. 365-368

Author(s):

Zhao Qun-Chao ◽

Zheng Gong-Ping ◽

Wang Zheng

Keyword(s):

Spin Chain ◽

Quantum Coherence ◽

Macroscopic Quantum ◽

Macroscopic Quantum Coherence ◽

Antiferromagnetic Spin

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Entanglement Transfer through an Antiferromagnetic Spin Chain

Advances in Mathematical Physics ◽

10.1155/2010/127182 ◽

2010 ◽

Vol 2010 ◽

pp. 1-11 ◽

Cited By ~ 20

Author(s):

Abolfazl Bayat ◽

Sougato Bose

Keyword(s):

Ground State ◽

Spin Chain ◽

The Other ◽

Heisenberg Chain ◽

Ferromagnetic Chain ◽

Pulse Form ◽

Entanglement Transfer ◽

A Chain ◽

Antiferromagnetic Spin

We study the possibility of using an uniformly coupled finite antiferromagnetic spin-1/2 Heisenberg chain as a channel for transmitting entanglement. One member of a pair of maximally entangled spins is initially appended to one end of a chain in its ground state and the dynamical propagation of this entanglement to the other end is calculated. We show that, compared to the analogous scheme with a ferromagnetic chain in its ground state, here the entanglement is transmitted faster, with less decay, with a much higher purity and as a narrow pulse form rising nonanalytically from zero. Here nonzero temperatures and depolarizing environments are both found to be less destructive in comparison to the ferromagnetic case. The entanglement is found to propagate through the chain in a peculiar fashion whereby it hops to skip alternate sites.

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