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Title: Antiferromagnetic and spiral phases in a [ital t]-[ital t][prime]-[ital J] model

Abstract

We present a study of a [ital t]-[ital t][prime]-[ital J] model on a square lattice, where [ital t][prime] denotes hopping along the diagonal, within a suitable 1/[ital N] expansion. The [ital T]=0 phase diagram consists of conventional ferromagnetic and incommensurate ([ital Q],[ital Q]) and ([ital Q],0) spiral phases, in addition to an unconventional antiferromagnetic (AF) phase characterized by the usual ([pi],[pi]), i.e., Neel modulation of the spin configuration and an unusual ([pi],[minus][pi]) phase modulation. We obtain the spectrum of elementary excitations for all these phases and explicitly display the associated Goldstone-mode structure. A detailed analysis of the AF phase including leading quantum-fluctuation effects shows that it remains locally stable at small finite doping, in agreement with the observed behavior in doped antiferromagnets, as well as globally stable against phase separation for sufficiently large [ital t][prime]. A characteristic feature of this AF phase is an [ital anisotropy] in the velocities of its elementary excitations which is suppressed, however, at half-filling. Finally, the spin-spin dynamical structure factor in the AF phase is found to exhibit a double peak at finite doping, which reflects hybridization between the relevant transverse (magnonlike) and longitudinal (holonlike) modes, one of the peaks also being suppressed at half-filling.

Authors:
;  [1]
  1. Department of Physics, University of Crete, and Research Center of Crete, Heraklion, GR-71110 (Greece)
Publication Date:
OSTI Identifier:
5579000
Resource Type:
Journal Article
Journal Name:
Physical Review, B: Condensed Matter; (United States)
Additional Journal Information:
Journal Volume: 48:1; Journal ID: ISSN 0163-1829
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; HEISENBERG MODEL; ANTIFERROMAGNETISM; HOLE MOBILITY; HIGH-TC SUPERCONDUCTORS; CUPRATES; HUBBARD MODEL; MAGNONS; TEMPERATURE ZERO K; COPPER COMPOUNDS; CRYSTAL MODELS; MAGNETISM; MATHEMATICAL MODELS; MOBILITY; OXYGEN COMPOUNDS; QUASI PARTICLES; SUPERCONDUCTORS; TRANSITION ELEMENT COMPOUNDS; 360207* - Ceramics, Cermets, & Refractories- Superconducting Properties- (1992-)

Citation Formats

Psaltakis, G C, and Papanicolaou, N. Antiferromagnetic and spiral phases in a [ital t]-[ital t][prime]-[ital J] model. United States: N. p., 1993. Web. doi:10.1103/PhysRevB.48.456.
Psaltakis, G C, & Papanicolaou, N. Antiferromagnetic and spiral phases in a [ital t]-[ital t][prime]-[ital J] model. United States. doi:10.1103/PhysRevB.48.456.
Psaltakis, G C, and Papanicolaou, N. Thu . "Antiferromagnetic and spiral phases in a [ital t]-[ital t][prime]-[ital J] model". United States. doi:10.1103/PhysRevB.48.456.
@article{osti_5579000,
title = {Antiferromagnetic and spiral phases in a [ital t]-[ital t][prime]-[ital J] model},
author = {Psaltakis, G C and Papanicolaou, N},
abstractNote = {We present a study of a [ital t]-[ital t][prime]-[ital J] model on a square lattice, where [ital t][prime] denotes hopping along the diagonal, within a suitable 1/[ital N] expansion. The [ital T]=0 phase diagram consists of conventional ferromagnetic and incommensurate ([ital Q],[ital Q]) and ([ital Q],0) spiral phases, in addition to an unconventional antiferromagnetic (AF) phase characterized by the usual ([pi],[pi]), i.e., Neel modulation of the spin configuration and an unusual ([pi],[minus][pi]) phase modulation. We obtain the spectrum of elementary excitations for all these phases and explicitly display the associated Goldstone-mode structure. A detailed analysis of the AF phase including leading quantum-fluctuation effects shows that it remains locally stable at small finite doping, in agreement with the observed behavior in doped antiferromagnets, as well as globally stable against phase separation for sufficiently large [ital t][prime]. A characteristic feature of this AF phase is an [ital anisotropy] in the velocities of its elementary excitations which is suppressed, however, at half-filling. Finally, the spin-spin dynamical structure factor in the AF phase is found to exhibit a double peak at finite doping, which reflects hybridization between the relevant transverse (magnonlike) and longitudinal (holonlike) modes, one of the peaks also being suppressed at half-filling.},
doi = {10.1103/PhysRevB.48.456},
journal = {Physical Review, B: Condensed Matter; (United States)},
issn = {0163-1829},
number = ,
volume = 48:1,
place = {United States},
year = {1993},
month = {7}
}