Critical phenomena and quantum phase transition in long range Heisenberg antiferromagnetic chains

DOI10.1088/1742-5468/2005/12/P12001zbMath1456.82396arXivcond-mat/0509390MaRDI QIDQ4968822

Mona Berciu, Nicolas Laflorencie, Ian Affleck

Publication date: 9 July 2019

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/0509390

zbMATH Keywords

renormalization groupquantum Monte Carlo simulationsspin chainsphase diagrams (theory)ladders and planes (theory)

Mathematics Subject Classification ID

Phase transitions (general) in equilibrium statistical mechanics (82B26) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Critical phenomena in equilibrium statistical mechanics (82B27)

Related Items (3)

Criticality of spin systems with weak long-range interactions ⋮ Long-range interactions from U (1) gauge fields via dimensional mismatch ⋮ Entanglement entropy of the long-range Dyson hierarchical model

Cites Work

• The phase transition in the one-dimensional Ising model with \(1/r^2\) interaction energy
• Statistical mechanics of a one-dimensional lattice gas
• Néel order in the ground state of Heisenberg antiferromagnetic chains with long-range interactions
• A plane of weakly coupled Heisenberg chains: theoretical arguments and numerical calculations
• Field Dependence of the Intrinsic Domain Magnetization of a Ferromagnet

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