One variation on Lloyd's theme
Oleg Derzhko (Institute for Condensed Matter Physics), Johannes, Richter (Institut f\"ur Theoretische Physik, Universit\"at Magdeburg)
TL;DR
This paper analyzes a spin-1/2 XY chain with randomness, using Jordan-Wigner transformation to connect it to the extended Lloyd's model, and exactly computes Green functions to understand its thermodynamics.
Contribution
It introduces an exact calculation of Green functions for a disordered XY chain via its relation to the extended Lloyd's model, advancing understanding of disordered quantum spin systems.
Findings
Exact Green functions for the disordered XY chain obtained
Thermodynamic properties derived from Green functions
Connection established between spin chain and Lloyd's model
Abstract
One random spin-1/2 XY chain that after Jordan-Wigner fermionization reduces to the extended Lloyd's model is considered. The random-averaged one-fermion Green functions have been calculated exactly that yields thermodynamics of the spin model.
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