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Quantum critical scaling for a Heisenberg spin-1/2 chain around saturation

机译：海森堡自旋1/2链在饱和附近的量子临界缩放

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摘要

We demonstrate quantum critical scaling for an S = 1/2 Heisenberg antiferromagnetic chain compound Cu(C_4H_4N_2)(NO_3)_2 in a magnetic field around saturation, by analyzing previously reported magnetization [Y. Kono etal., Phys. Rev. Lett. 114, 037202 (2015)], thermal expansion [J. Rohrkamp et al., J. Phys.: Conf. Ser. 200,012169 (2010)], and NMR relaxation data [H. Kuehne etal., Phys. Rev. B 80,045110 (2009)]. The scaling of magnetization is demonstrated through collapsing the data for a range of both temperature and field onto a single curve without making any assumption for a theoretical form. The data collapse is subsequently shown to closely follow the theoretically predicted scaling function without any adjustable parameters. Experimental boundaries for the quantum critical region could be drawn from the variable range beyond which the scaled data deviate from the theoretical function. Similarly to the magnetization, quantum critical scaling of the thermal expansion is also demonstrated. Further, the spin dynamics probed via NMR relaxation rate 1/T_1] close to the saturation is shown to follow the theoretically predicted quantum critical behavior as l/T_1 α T~(-0.5) persisting up to temperatures as high as k_BT≃ J, where J is the exchange coupling constant.
机译：通过分析先前报道的磁化强度，我们证明了在饱和附近的磁场中S = 1/2的Heisenberg反铁磁链化合物Cu（C_4H_4N_2）（NO_3）_2的量子临界尺度。 Kono等，物理学。牧师114，037202（2015）]，热膨胀[J. Rohrkamp等，J.Phys。：Conf。老师200,012169（2010）]和NMR弛豫数据[H. Kuehne等，物理学。版本B 80,045110（2009）。磁化的定标通过将温度和磁场范围的数据折叠到一条曲线上而得到证明，而无需对理论形式进行任何假设。随后显示出数据崩溃，其紧密遵循理论上预测的缩放函数，而没有任何可调整的参数。可以从可变范围中得出量子临界区的实验边界，超出该范围后，定标数据将偏离理论函数。与磁化相似，还证明了热膨胀的量子临界尺度。此外，通过接近饱和的NMR弛豫速率1 / T_1]探测到的自旋动力学表现为遵循理论上预测的量子临界行为，因为l / T_1αT〜（-0.5）持续高达k_BT≃J，其中J是交换耦合常数。

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