Modulated phases in magnetic models frustrated by long-range interactions

Erik Nielsen; R. N. Bhatt; David A. Huse

doi:10.1103/PhysRevB.77.054432

Modulated phases in magnetic models frustrated by long-range interactions

Erik Nielsen, R. N. Bhatt, David A. Huse

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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 - Hc and Hc, which represent the edges of the ferromagnetic up and down phases. The implications of long-range interaction in many body systems are discussed.

Original language	English (US)
Article number	054432
Journal	Physical Review B - Condensed Matter and Materials Physics
Volume	77
Issue number	5
DOIs	https://doi.org/10.1103/PhysRevB.77.054432
State	Published - Feb 25 2008

All Science Journal Classification (ASJC) codes

Electronic, Optical and Magnetic Materials
Condensed Matter Physics

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10.1103/PhysRevB.77.054432

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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 - Hc and Hc, which represent the edges of the ferromagnetic up and down phases. The implications of long-range interaction in many body systems are discussed.",

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AB - 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 - Hc and Hc, which represent the edges of the ferromagnetic up and down phases. The implications of long-range interaction in many body systems are discussed.

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Modulated phases in magnetic models frustrated by long-range interactions

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