The spin drude weight of the Heisenberg spin-1/2 XXZ model / Svyatoslav Karabin. Wuppertal, 2025
Inhalt
- Introduction
- Transport in one-dimensional integrable systems
- XXZ Spin 1/2-Heisenberg spin chain
- Linear response theory
- Transport in the XXZ Spin 1/2-Heisenberg spin chain
- Spin conductivity
- Mazur's inequality
- Coordinate Bethe Ansatz and Zotos' Drude weight
- Mazur bounds
- Standard XXZ spin-1/2 thermodynamics
- Pseudo-local conserved quantities
- Mazur inequality at infinite and finite temperature
- Computation of A1|to.s=s=0
- Computation of A2|to.s=s=0
- T-, Y-systems
- Modified T-, Y-systems
- Calculations of JsQ()
- High temperature limit: T
- Spin Drude Weight
- Introduction
- T- Y-system at the ``simple root of unity''
- Thermodynamic properties of Y's zeros
- Calculation of the g-function from the zeros of Y-functions
- Drude weight analysis
- T- Y-system at root of unity
- NLIE derivation for 1=2, 2=2
- Numerical analysis of NLIE for 1=2, 2=2
- Conclusions
- Bibliography