Ferromagnetic Luttinger Liquids

Abstract

We study weak itinerant ferromagnetism in one-dimensional Fermi systems using perturbation theory and bosonization. We find that longitudinal spin fluctuations propagate ballistically with velocity v_m << v_F, where v_F is the Fermi velocity. This leads to a large anomalous dimension in the spin-channel and strong algebraic singularities in the single-particle spectral function and in the transverse structure factor for momentum transfers q ~ 2 Delta/v_F, where 2 Delta is the exchange splitting.

4 pages, 3 figures

References in corpus (2)

• Density dependent spin polarisation in ultra low-disorder quantum wires
• Gate-induced band ferromagnetism in an organic polymer

Cited by in corpus (20)

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• Phase diagram of a frustrated mixed-spin ladder with diagonal exchange bonds
• Nonequilibrium quantum phase transition in itinerant electron systems
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• Spin-charge separation in a strongly correlated spin-polarized chain
• Ferromagnetic Spin Coupling as the Origin of 0.7 Anomaly in Quantum Point Contacts
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• Frustration-Induced Ferrimagnetism in S=1/2 Heisenberg Spin Chain
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• Fractionalized Spin Excitations in the Edge Ferromagnetic State of Graphene: Signature of the Ferromagnetic Luttinger Liquid
• Nuclear magnetic resonance probes for the Kondo scenario for the 0.7 feature in semiconductor quantum point contact devices
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• Ferromagnetism in one-dimensional metals: breakdown of the Hartree-Fock approximation and possible first order phase transition
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