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Order parameter statistics in the critical quantum Ising chain

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arxiv 0802.1246 v1 pith:3EYO2CQR submitted 2008-02-10 cond-mat.stat-mech

Order parameter statistics in the critical quantum Ising chain

classification cond-mat.stat-mech
keywords quantumchaincriticalfunctionisingscalingspinstate
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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