Heisenberg spin chain with many impurities

Journal Article · Fri Apr 01 04:00:00 EST 1994 · Physical Review, B: Condensed Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.49.9202· OSTI ID:5090839

Schlottmann, P ^[1]

---

1. Department of Physics, Florida State University, Tallahassee, Florida 32306 (United States)

We consider the Heisenberg chain of spin 1/2 with a concentration [ital x] of impurity spins [ital S]. The thermodynamic Bethe ansatz equations are stated for this model. The ground-state equations are analyzed as a function of [ital x] and magnetic field. In zero field the ground state is a singlet for finite [ital x], but non-Fermi-liquid-like for [ital x][r arrow]0. Two energy bands play a role at [ital T]=0. The Van Hove singularities of the empty bands define two critical fields, [ital H][sub [ital c]1]([ital x]) and [ital H][sub [ital c]2]([ital x]), at which the susceptibility diverges. The non-Fermi-liquid behavior as [ital x][r arrow]0 arises from nonanalyticities as [ital H][sub [ital c]2] vanishes.

• DOE Contract Number: FG05-91ER45443
• OSTI ID: 5090839
• Journal Information: Physical Review, B: Condensed Matter; (United States), Journal Name: Physical Review, B: Condensed Matter; (United States) Vol. 49:13; ISSN 0163-1829; ISSN PRBMDO
• Country of Publication: United States
• Language: English

Related Subjects

665400* -- Quantum Physics Aspects of Condensed Matter-- (1992-)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
CALCULATION METHODS
CRITICAL FIELD
CRYSTAL MODELS
ENERGY LEVELS
FERMI GAS
FLUIDS
GASES
GROUND STATES
HEISENBERG MODEL
IMPURITIES
MAGNETIC FIELDS
MAGNETIC PROPERTIES
MAGNETIC SUSCEPTIBILITY
MATHEMATICAL MODELS
ONE-DIMENSIONAL CALCULATIONS
PHYSICAL PROPERTIES
SINGULARITY
TRANSFER MATRIX METHOD