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Dimensional Crossover In Quantum Critical Metallic Magnets

机译：量子临界金属磁体中的尺寸交叉

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Nearly magnetic metals often have layered lattice structures consisting of coupled planes. In such a situation, physical properties will display, upon decreasing temperature or energy, a dimensional crossover from two-dimensional (2D) to three-dimensional (3D) behavior, which is particularly interesting near quantum criticality. Here we study this crossover in thermodynamics using a suitably generalized Landau-Ginzburg-Wilson approach to the critical behavior, combined with renormalization group techniques. We focus on two experimentally relevant cases: the crossover from a 2D to a 3D antiferromagnet, and the crossover from a 2D ferromagnet to a 3D antiferromagnet. As naive scaling does not apply at and above the upper critical dimension, two crossover scales arise which can be associated with separate dimensional crossovers of classical and quantum fluctuations, respectively. In particular, we find an intermediate regime with distinct power laws where the quantum fluctuations still have 2D and the classical fluctuations already have a 3D character. For the ferromagnet-to-antiferromagnet crossover, the mismatch of the dynamical exponents between the 2D and 3D regimes leads to an even richer crossover structure, with an interesting 2D noncritical regime sandwiched between two critical regimes. For all cases, we find that thermal expansion and compressibility are particularly sensitive probes of the dimensional crossover. Finally, we relate our results to experiments on the quantum critical heavy-fermion metals CeCu_(6-x)Au_x, YbRh_2Si_2, and CeCoIn_5.
机译：几乎磁性的金属通常具有由耦合平面组成的分层晶格结构。在这种情况下，随着温度或能量的降低，物理性质将显示出从二维（2D）行为向三维（3D）行为的尺度交叉，这在量子临界附近尤为有趣。在这里，我们使用适当的广义Landau-Ginzburg-Wilson方法对临界行为结合重新归一化组技术，研究了热力学中的这种交叉。我们关注两个在实验上相关的情况：从2D到3D反铁磁体的交叉，以及从2D铁磁体到3D反铁磁体的交叉。由于天真缩放不适用于上临界尺寸或更高的临界尺寸，因此出现了两个交叉比例，它们可以分别与经典涨落和量子涨落的单独尺寸交叉相关联。特别是，我们发现了一个具有不同幂定律的中间态，其中量子涨落仍然具有2D且经典涨落已经具有3D特性。对于铁磁体到反磁体的交叉，2D和3D方案之间动态指数的不匹配会导致更丰富的交叉结构，其中有趣的2D非关键方案夹在两个关键方案之间。对于所有情况，我们发现热膨胀和可压缩性是尺寸交叉的特别敏感的指标。最后，我们将我们的结果与量子临界重铁金属CeCu_（6-x）Au_x，YbRh_2Si_2和CeCoIn_5的实验相关。

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