Physical review. B, Condensed matter · 1980 · 503 citations · 9 references
Quantum Lattice SystemEngineeringMany-body Quantum PhysicMagnetic ResonanceOne-dimensional MagnetismSpin DynamicSpin PhenomenonMagnetismQuantum ComputingInteraction StrengthsQuantum SciencePhysicsLow-temperature PropertiesOne-dimensional QuantumQuantum MagnetismSpintronicsPower-law DivergenceNatural SciencesCondensed Matter PhysicsApplied PhysicsDisordered Quantum System
The study approximates the one‑dimensional spin‑½ Heisenberg antiferromagnetic chain with random couplings across multiple disorder distributions. An approximate renormalization scheme successively eliminates the strongest‑coupled spins to compute ground‑state energy and low‑temperature thermodynamics. Specific heat and magnetic susceptibility exhibit universal power‑law temperature dependence, persisting for both nonsingular and power‑law divergent coupling distributions.
The one-dimensional quantum spin-\textonehalf{} Heisenberg antiferromagnetic model with randomly distributed interaction strengths is solved approximately for several different distributions. Ground-state energy and low-temperature properties are evaluated. Universal qualitative features are found in the specific heat and the magnetic susceptibility, which display a power-law dependence on temperature. Such features hold for nonsingular distributions as well as for distributions with power-law divergence at the origin. The approximate method of solution is based on successive eliminations of spins coupled by the maximum coupling constant.
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Random Antiferromagnetic Chain
Shang-keng Ma, Chandan Dasgupta, Chin‐Kun Hu · Physical Review Letters · 1979 · 435 citations