nLab spin chain




physics, mathematical physics, philosophy of physics

Surveys, textbooks and lecture notes

theory (physics), model (physics)

experiment, measurement, computable physics







The original articles:


  • Andreas Schadschneider, Götz S. Uhrig: Part II of: Strongly Correlated Systems in Solid State Physics, lecture notes (2004) [pdf, pdf]

  • Ingmar Saberi, An introduction to spin systems for mathematicians [arXiv:1801.07270]

Relation to tensor networks:

  • Mari Carmen Banuls, Michal P. Heller, Karl Jansen, Johannes Knaute, Viktor Svensson, From spin chains to real-time thermal field theory using tensor networks (arXiv:1912.08836)

Claim of supersymmetric spin chains carrying braid group representations (“anyons”):

  • Indrajit Jana, Filippo Montorsi, Pramod Padmanabhan, Diego Trancanelli, Topological Quantum Computation on Supersymmetric Spin Chains [arXiv:2209.03822]

On topological phases (i.e. gapped ground states) of spin chains:

On simulation of quantum spin chains on quantum computers:

A holographic CMT model for spin chains:

  • Naoto Yokoi, Yasuyuki Oikawa, Eiji Saitoh, Holographic Dual of Quantum Spin Chain as Chern-Simons-Scalar Theory [arXiv:2310.01890&rbrack:

For single trace operators in super Yang-Mills theory

Identifiication of spin chain dynamics in the action of the dilatation operator in super Yang-Mills theory, specifically D=4 N=4 super Yang-Mills theory, on single trace operators/BMN operators and correspondence to Green-Schwarz superstrings on AdS5 under the AdS-CFT correspondence:

Review includes

For D3-D7 brane bound states and D3-D5 brane bound states:

  • Marius de Leeuw, Tamás Gombor, Charlotte Kristjansen, Georgios Linardopoulos, Balázs Pozsgay, Spin Chain Overlaps and the Twisted Yangian (arXiv:1912.09338)

See also:

  • Taro Kimura, Rui-Dong Zhu, Bethe/Gauge Correspondence for SOSO/SpSp Gauge Theories and Open Spin Chains, JHEP 2021 227 (2021) [arXiv:2012.14197, doi:10.1007/JHEP03(2021)227]

  • Ziwei Wang, Rui-Dong Zhu, Bethe/Gauge Correspondence for A NA_N Spin Chains with Integrable Boundaries [arXiv:2401.00764]

Analogous spin chain aspects claimed to appear in D=6 N=(2,0) SCFT:

Last revised on June 22, 2024 at 16:13:28. See the history of this page for a list of all contributions to it.