Effective-action studies of quantum hall spin textures

Physical Review B - Condensed Matter and Materials Physics

Volumn 59, Issue 15, 1999, Pages 10183-10193

  Sondhi, S L ^b   Karlhede, A ^a  

^a STOCKHOLM UNIVERSITY   (Sweden)

^b PRINCETON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000281863     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.59.10183     Document Type: Article

References (41)

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38. The shooting method cannot be used directly since the origin is a critical point: The value of the function and of its first derivative at the origin do not specify the solution uniquely.
39. An alternative method would be to use the sigma model solution near (Formula presented) We would then have to minimize the energy with respect to additional parameters (corresponding to unknown derivatives of f at the origin) and this would necessarily involve several relaxation solutions. This is quite time consuming and also has other numerical disadvantages.
40. We give the energies to create one Skyrmion at fixed particle number and fixed magnetic field. These energies are equal for the Skyrmion and anti-Skyrmion (with the same value of (Formula presented).
41. The deviation is probably partly due to finite-size effects in the Hartree-Fock calculation for which the boundary condition is (Formula presented) at (Formula presented) while in the effective action calculation we have (Formula presented)