Magnetic Grueneisen ratio of the random transverse-field Ising chain

Details Magnetic Grueneisen ratio of the random transverse-field Ising chain Magnetic Grueneisen ratio of the random transverse-field Ising chain

2009-06-04

arxiv.org/abs/0906.0972v2

phys. stat. sol (b) 247, 525 (2010)

Physics

Condensed Matter

Strongly Correlated Electrons

5 pages, 6 eps figures, submitted to Proc. of QCNP09

Scientific paper

10.1002/pssb.200983009

The magnetic analog of the Gr\"{u}neisen parameter, i.e., the magnetocaloric effect, is a valuable tool for studying field-tuned quantum phase transitions. We determine the magnetic Gr\"{u}neisen parameter of the one-dimensional random transverse-field Ising model, focusing on its low-temperature behavior at the exotic infinite-randomness quantum critical point and in the associated quantum Griffiths phases. We present extensive numerical simulations showing that the magnetic Gr\"{u}neisen parameter diverges logarithmically with decreasing temperature in the quantum Griffiths phase. It changes sign right at criticality. These results confirm a recent strong-disorder renormalization group theory. We also compare our findings to the behavior of the clean transverse-field Ising chain.

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