Fermions and solitons in the O(3) nonlinear. sigma. model in 2+1 space-time dimensions

Journal Article · Tue May 01 04:00:00 EDT 1990 · Physical Review, B: Condensed Matter; (USA)

DOI:https://doi.org/10.1103/PhysRevB.41.9358· OSTI ID:7093878

Voruganti, P ^[1]; Doniach, S ^[2]

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1. Stanford Linear Accelerator Center, Stanford University, Stanford, California 94309 (USA) Stanford University, Department of Physics, Stanford, California 94305 (USA)
2. Stanford University, Department of Applied Physics, Stanford, California 94305 (USA)

The field-theory limit of antiferromagnetism with holes is described using the O(3) nonlinear {sigma} model. The minimal coupling to the spin wave gives a Pauli term that couples the hole charge density to the topological charge density for solitons. This term leads to drastic consequences: an attractive potential for holes and solitons, spin-charge coupling for the holes, and zero-momentum modes. The zero-momentum modes are exact nonperturbative solutions to the full coupled equations of motion for spin waves and holes. The effect of a Chern-Simons term, connections to other mean-field approaches, and the quantum bound-state problem are discussed. If the zero modes are the states of lowest energy, then the holes in this field-theory limit are attached to skyrmions.

• DOE Contract Number: AC03-76SF00515
• OSTI ID: 7093878
• Journal Information: Physical Review, B: Condensed Matter; (USA), Journal Name: Physical Review, B: Condensed Matter; (USA) Vol. 41:13; ISSN PRBMD; ISSN 0163-1829
• Country of Publication: United States
• Language: English

Related Subjects

656100* -- Condensed Matter Physics-- Superconductivity
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ANTIFERROMAGNETIC MATERIALS
ANTIFERROMAGNETISM
DYNAMICAL GROUPS
FERMIONS
FIELD THEORIES
LIE GROUPS
MAGNETIC MATERIALS
MAGNETISM
MATERIALS
MATHEMATICAL MODELS
NONLINEAR PROBLEMS
O GROUPS
PARTICLE MODELS
QUANTUM FIELD THEORY
QUASI PARTICLES
SIGMA MODEL
SOLITONS
SPIN WAVES
SUPERCONDUCTORS
SYMMETRY GROUPS