Decay of the Two-Point Function in One-Dimensional O(N) Spin Models with Long Range Interactions

Abstract

Using Griffiths and Lieb-Simon type inequalities, it is shown that the two-point function of ferromagnetic spin models with N components in one dimension decays like the interaction provided that N=1,2,3,4 and T > T_c.

to be published in Journ. Stat. Physics

References in corpus (1)

• The Single-Electron-Box and the Helicity Modulus of an inverse square XY-Model

Cited by in corpus (18)

• Numerical Renormalization Group for Bosonic Systems and Application to the Subohmic Spin-Boson Model
• Equilibrium and non-equilibrium dynamics of the sub-ohmic spin-boson model
• Clustering of conditional mutual information for quantum Gibbs states above a threshold temperature
• Effective Theory and Breakdown of Conformal Symmetry in a Long-Range Quantum Chain
• Dissipation-driven quantum phase transitions in a Tomonaga-Luttinger liquid electrostatically coupled to a metallic gate
• Singular dynamics and emergence of nonlocality in long-range quantum models
• $BKT$ transitions in classical and quantum long-range systems
• Modulational instabilities in lattices with power-law hoppings and interactions
• Dissipation-driven quantum phase transition in superconductor-graphene systems
• Rings and boxes in dissipative environments
• Phase transitions for a collective coordinate coupled to Luttinger liquids
• Equilibrium Dynamics of the Sub-Ohmic Spin-boson Model At Finite Temperature
• Rings and Coulomb boxes in dissipative environments
• Diffusive-Ballistic Transition in Random Walks with Long-Range Self-Repulsion
• Fractional Dynamics and Modulational Instability in Long-Range Heisenberg Chains
• Decay Properties of the Connectivity for Mixed Long Range Percolation Models on ${\mathbb{Z}}^d$
• Berezinskii-Kosterlitz-Thouless phase transitions with long-range couplings
• Zero temperature geometric spin dephasing on a ring in presence of an Ohmic environment