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arXiv 0905.1871cond-mat.str-el
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量子临界点处的二级相变行为

Behavior of second order phase transitions at a quantum critical point

V. R. Shaginyan, M. Ya. Amusia, K. G. Popov

摘要:

YbRh_2Si_2在二级反铁磁(AF)相变时的低温比热测量显示在TN=72 mK处有一个尖锐的峰值。相应的临界指数α =0.38,与基于尺度不变性的二阶相变涨落理论(α =0.1)的结果有很大的不同。结果表明,在外加磁场作用下,二阶AF相变曲线在三临界点处转变为一阶AF相变曲线,从而违反了涨落理论的临界普适性。这种相变的变化是由费米子凝聚量子相变产生的。在三临界点附近,二级相变的朗道理论是适用的,并且给出α =1/2。我们证明,这个值的α是在很好的协议与比热测量。

英文摘要:

Low-temperature specific-heat measurements on YbRh2Si2 at the second order antiferromagnetic (AF) phase transition reveal a sharp peak at TN=72 mK. The corresponding critical exponent alpha turns out to be alpha=0.38, which differs significantly from that obtained within the framework of the fluctuation theory of second order phase transitions based on the scale invariance, where alpha=0.1. We show that under the application of magnetic field the curve of the second order AF phase transitions passes into a curve of the first order ones at the tricritical point leading to a violation of the critical universality of the fluctuation theory. This change of the phase transition is generated by the fermion condensation quantum phase transition. Near the tricritical point the Landau theory of second order phase transitions is applicable and gives alpha=1/2. We demonstrate that this value of alpha is in good agreement with the specific-heat measurements.

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