scholarly journals A Farey Fraction Spin Chain

1999 ◽  
Vol 203 (3) ◽  
pp. 635-647 ◽  
Author(s):  
P. Kleban ◽  
A.E. �zl�k
Keyword(s):  
Spin Chain ◽  
Farey Fraction

scholarly journals Thermodynamics of the Farey Fraction Spin Chain

2004 ◽  
Vol 116 (5/6) ◽  
pp. 1471-1490 ◽  
Author(s):  
Jan Fiala ◽  
Peter Kleban
Keyword(s):  
Spin Chain ◽  
Farey Fraction

scholarly journals Cluster Approximation for the Farey Fraction Spin Chain

2006 ◽  
Vol 123 (2) ◽  
pp. 455-471 ◽  
Author(s):  
Thomas Prellberg ◽  
Jan Fiala ◽  
Peter Kleban
Keyword(s):  
Spin Chain ◽  
Cluster Approximation ◽  
Farey Fraction

scholarly journals Asymptotics of the Farey Fraction Spin Chain Free Energy at the Critical Point

2009 ◽  
Vol 138 (1-3) ◽  
pp. 447-464 ◽  
Author(s):  
Oscar F. Bandtlow ◽  
Jan Fiala ◽  
Peter Kleban ◽  
Thomas Prellberg
Keyword(s):  
Free Energy ◽  
Critical Point ◽  
Spin Chain ◽  
Farey Fraction

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

scholarly journals The integrable (hyper)eclectic spin chain

2021 ◽  
Vol 2021 (2) ◽  
Author(s):  
Changrim Ahn ◽  
Matthias Staudacher
Keyword(s):  
Spin Chain ◽  
Nearest Neighbor ◽  
Inverse Scattering Method ◽  
Spin Chains ◽  
Scattering Method ◽  
Yang Mills ◽  
Deformation Parameters ◽  
Dilatation Operator ◽  
The One ◽  
State Spin

Abstract We refine the notion of eclectic spin chains introduced in [1] by including a maximal number of deformation parameters. These models are integrable, nearest-neighbor n-state spin chains with exceedingly simple non-hermitian Hamiltonians. They turn out to be non-diagonalizable in the multiparticle sector (n > 2), where their “spectrum” consists of an intricate collection of Jordan blocks of arbitrary size and multiplicity. We show how and why the quantum inverse scattering method, sought to be universally applicable to integrable nearest-neighbor spin chains, essentially fails to reproduce the details of this spectrum. We then provide, for n=3, detailed evidence by a variety of analytical and numerical techniques that the spectrum is not “random”, but instead shows surprisingly subtle and regular patterns that moreover exhibit universality for generic deformation parameters. We also introduce a new model, the hypereclectic spin chain, where all parameters are zero except for one. Despite the extreme simplicity of its Hamiltonian, it still seems to reproduce the above “generic” spectra as a subset of an even more intricate overall spectrum. Our models are inspired by parts of the one-loop dilatation operator of a strongly twisted, double-scaled deformation of $$ \mathcal{N} $$ N = 4 Super Yang-Mills Theory.

scholarly journals Spin chain overlaps and the twisted Yangian

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Marius de Leeuw ◽  
Tamás Gombor ◽  
Charlotte Kristjansen ◽  
Georgios Linardopoulos ◽  
Balázs Pozsgay
Keyword(s):  
Spin Chain ◽  
Twisted Yangian

scholarly journals Erratum: Coherent Multispin Exchange Coupling in a Quantum-Dot Spin Chain [Phys. Rev. X 10 , 031006 (2020)]

2021 ◽  
Vol 11 (2) ◽  
Author(s):  
Haifeng Qiao ◽  
Yadav P. Kandel ◽  
Kuangyin Deng ◽  
Saeed Fallahi ◽  
Geoffrey C. Gardner ◽  
...  
Keyword(s):  
Quantum Dot ◽  
Spin Chain ◽  
Exchange Coupling
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