6533b7d4fe1ef96bd1263421
RESEARCH PRODUCT
Functions Characterizing the Ground State of the XXZ Spin-1/2 Chain in the Thermodynamic Limit
Frank GöhmannMaxime DugaveKarol K. Kozlowskisubject
High Energy Physics - TheoryPhysicsStrongly Correlated Electrons (cond-mat.str-el)FOS: Physical sciencesCharge (physics)Mathematical Physics (math-ph)Integral equationMagnetic fieldCondensed Matter - Strongly Correlated ElectronsMagnetizationNonlinear Sciences::Exactly Solvable and Integrable SystemsHigh Energy Physics - Theory (hep-th)Chain (algebraic topology)Quantum mechanicsThermodynamic limitCondensed Matter::Strongly Correlated ElectronsGeometry and TopologyGround stateMathematical PhysicsAnalysisSpin-½description
We establish several properties of the solutions to the linear integral equations describing the infinite volume properties of the XXZ spin-1/2 chain in the disordered regime. In particular, we obtain lower and upper bounds for the dressed energy, dressed charge and density of Bethe roots. Furthermore, we establish that given a fixed external magnetic field (or a fixed magnetization) there exists a unique value of the boundary of the Fermi zone.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2013-11-27 | Symmetry, Integrability and Geometry: Methods and Applications |