Order parameter statistics in the critical quantum Ising chain

Details Order parameter statistics in the critical quantum Ising chain Order parameter statistics in the critical quantum Ising chain

2008-02-10

arxiv.org/abs/0802.1246v1

Phys. Rev. Lett. 100, 165706 (2008)

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1103/PhysRevLett.100.165706

In quantum spin systems obeying hyperscaling, the probability distribution of the total magnetization takes on a universal scaling form at criticality. We obtain this scaling function exactly for the ground state and first excited state of the critical quantum Ising spin chain. This is achieved through a remarkable relation to the partition function of the anisotropic Kondo problem, which can be computed by exploiting the integrability of the system.

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