Modulated phases in magnetic models frustrated by long-range interactions

2007/10/06 by Erik Nielsen, R. N. Bhatt, David A. Huse
Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #Antiferromagnetism #Complex Systems and Time Series Analysis #Condensed matter physics #Ferromagnetism #Frustration #Ising model #Materials science #Mathematics #Phase (matter) #Phase diagram #Physics #Power law #Quantum many-body systems #Quantum mechanics #Range (aeronautics) #Statistical physics #Statistics #Theoretical and Computational Physics #cond-mat.stat-mech

paper · pdf · doi:10.1103/physrevb.77.054432

published as Phys. Rev. B 77, 054432 (2008) · 5 pages, 3 figures

arxiv created 2007/10/06 · openalex publication_date 2008/02/25 · arxiv updated 2012/08/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We study an Ising model in one dimension with short-range ferromagnetic and long-range (power law) antiferromagnetic interactions. We show that the zero temperature phase diagram in a (longitudinal) field H involves a sequence of up and down domains whose size varies continuously with H, between \ensuremath-H_c and H_c, which represent the edges of the ferromagnetic up and down phases. The implications of long-range interaction in many body systems are discussed.

Citations

• Coulomb gap and low temperature conductivity of disordered systems
• Existence of a phase-transition in a one-dimensional Ising ferromagnet
• The phase transition in the one-dimensional Ising Model with 1/r 2 interaction energy
• Monte Carlo study of the three-dimensional Coulomb frustrated Ising ferromagnet