Excitation Spectra and Edge Singularities in the One-Dimensional Anisotropic Heisenberg Model for Δ = cos(π/n), n = 3,4,5
Abstract
:1. Introduction
2. Bethe Ansatz Equations for the Anisotropic Heisenberg Ring for
3. Excitation Energies in Non-Zero Magnetic Field
3.1. Case
3.2. Case
3.3. Case
3.4. Luttinger Liquid
3.5. Group Velocities
3.6. Conformal Towers
4. Field Theory Model for the Luttinger Liquid with Mobile Impurity
5. Relation to the Bethe Ansatz Results
5.1. Densities
5.2. Energy
5.3. Integration Limits
5.4. Relation of to Quantum Numbers
5.5. Luttinger Parameter
5.6. Relation of the Bethe Ansatz with the Field Theoretical Quantities
6. Conclusions
Funding
Conflicts of Interest
References
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Schlottmann, P. Excitation Spectra and Edge Singularities in the One-Dimensional Anisotropic Heisenberg Model for Δ = cos(π/n), n = 3,4,5. Quantum Rep. 2022, 4, 442-461. https://doi.org/10.3390/quantum4040032
Schlottmann P. Excitation Spectra and Edge Singularities in the One-Dimensional Anisotropic Heisenberg Model for Δ = cos(π/n), n = 3,4,5. Quantum Reports. 2022; 4(4):442-461. https://doi.org/10.3390/quantum4040032
Chicago/Turabian StyleSchlottmann, Pedro. 2022. "Excitation Spectra and Edge Singularities in the One-Dimensional Anisotropic Heisenberg Model for Δ = cos(π/n), n = 3,4,5" Quantum Reports 4, no. 4: 442-461. https://doi.org/10.3390/quantum4040032
APA StyleSchlottmann, P. (2022). Excitation Spectra and Edge Singularities in the One-Dimensional Anisotropic Heisenberg Model for Δ = cos(π/n), n = 3,4,5. Quantum Reports, 4(4), 442-461. https://doi.org/10.3390/quantum4040032