The magnetic susceptibility of exchange-disordered antiferromagnetic finite chains

Abstract

The low-temperature behavior of the static magnetic susceptibility $\chi (T)$ of exchange-disordered antiferromagnetic spin chains is investigated. It is shown that for a relatively small and even number of spins in the chain, two exchange distributions which are expected to occur in nanochains of P donors in silicon lead to qualitatively distinct behaviors of the low-temperature susceptibility. As a consequence, magnetic measurements might be useful to characterize whether a given sample meets the requirements compatible with Kane's original proposalfor the exchange gates in a silicon-based quantum computer hardware. We also explore the dependence of $\chi (T)$ on the number of spins in the chain as it increases towards the thermodynamic limit, where any degree or distribution of disorder leads to the same low-temperature scaling behavior. We identify a crossover regime where the two distributions of disorder may not be clearly differentiated, but the characteristic scaling of the thermodynamic limit has not yet been reached.

References in corpus (7)

• Quantum Computation with Quantum Dots
• Stochastic series expansion method with operator-loop update
• Susceptibility of the Spin 1/2 Heisenberg Antiferromagnetic Chain
• Atomically precise placement of single dopants in Si
• Exchange in silicon-based quantum computer architecture
• Neutron Scattering and Magnetic Observables for S = 1/2 Molecular Magnets
• Monte Carlo Study of Correlations in Quantum Spin Chains at Non-Zero Temperature

Cited by in corpus (2)

• Model for spin coupling disorder effects on the susceptibility of antiferromagnetic nanochains
• Quantum and classical correlations and Werner states in finite spin linear arrays