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自旋为1／2的X-Y模型亚铁磁棱型链的热力学性质

成泰民, 孙树生, 贾维烨, 葛崇员

Published Jan 1, 2012• 0 citations
OpenAlex

Abstract

本文利用不变本征算符法计算了低温下自旋为1／2的XY模型一维亚铁磁棱型链系统的元激发谱，并讨论了在此系统中不同的特殊情形下的元激发能量，从而给出体系的三个临界磁场强度的解析解Hc1，Hc2，Hpeak．体系的比热随温度的变化出现了双峰现象．熵随外磁场的变化也出现了双峰现象，并且其双峰位置与临界磁场（Hc1，Hc2）相对应．这说明双峰源于体系的不同形式的能量之间的竞争．但是，在低温下比热随外磁场变化曲线在上述两个临界磁场处，比热出现极小值．在高温下体系的约化熵接近31n2，在低温区hω3，k对体系熵的贡献大于hω1,k和hω2,k的贡献，并且在低温区hω1,k，和hω2对体系熵的贡献几乎为零．在本文中详细讨论了上述现象的起因．

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本文利用不变本征算符法计算了低温下自旋为1／2的XY模型一维亚铁磁棱型链系统的元激发谱，并讨论了在此系统中不同的特殊情形下的元激发能量，从而给出体系的三个临界磁场强度的解析解Hc1，Hc2，Hpeak．体系的比热随温度的变化出现了双峰现象．熵随外磁场的变化也出现了双峰现象，并且其双峰位置与临界磁场（Hc1，Hc2）相对应．这说明双峰源于体系的不同形式的能量之间的竞争．但是，在低温下比热随外磁场变化曲线在上述两个临界磁场处，比热出现极小值．在高温下体系的约化熵接近31n2，在低温区hω3，k对体系熵的贡献大于hω1,k和hω2,k的贡献，并且在低温区hω1,k，和hω2对体系熵的贡献几乎为零．在本文中详细讨论了上述现象的起因．
研究了在具有1/ r 2 衰减长程相互作用的 XY 自旋系统中产生两个遥远自旋纠缠的动力学机制. 由于在这种模型中, 自旋波磁子可以具有线性的色散关系 e ( k )~| k |, 在动力学演化的过程中, 一个局域的自旋态可以被劈裂成两个纠缠的局域波包, 并且这两个波包在运动的过程中各自保持他们的形状不变. 值得注意的是, 在经过一个较短的周期 τ = N π/ J 的演化之后, 当这两个波包在圆环直径的另一端相遇的时候, 初始时刻局域的自旋态可以完全回复. 另外, 对总格点数多达上千的环状系统进行了数值模拟, 验证了耦合强度的截断近似对精确解析结果的影响. 数值结果表明, 与自旋系统的尺度相比, 即使自旋耦合区域已经被截断到一个很小的范围内, 上述结论仍然成立.
The elementary excitation spectra of the one-dimensional spin-1/2 XY model in the ferrimagnetic diamond chain at low temperature are calculated by using invariant eigenvector in this paper. And the elementary excitation energies in different cases are discussed. Therefore, analytic solutions of the three critical magnetic field intensities HC1, HC2 and Hpeak in the system are given. It is found that the analytic solutions of three critical magnetic field intensities are correct from the law of the magnetization changing with temperature under different external magnetic fields, and it is explained by the contributions of the three elementary excitations to the magnetization. The external magnetic field dependent magnetization presents a 1/3 magnetized plateau at low temperature. The variation of magnetic susceptibility either with temperature or with external magnetic field shows a double peak structure, this phenomenon indicates that the double peak structure originates from the competition among the ferromagnetic exchange interaction energy of intramolecular electronic spin parallel arrangement in dimer, the antiferromagnetic exchange interaction energy of intermolecular electronic spin antiparallel arrangement in dimer-monomer, the thermal disorder energy and the spin magnetic moment potential energy related to external magnetic field.
超导电子器件是一种低温电子器件,它是基干约瑟夫森(Josephson)效应而研制成功的一种新型电子器件.它的基本结构如图1中的插图那样,是一个具有三层结构的二端器件,其中S1和S2是两块超导体。中间由一薄层绝缘体隔开,这层绝缘体的厚度只有几nm. 一、超导电子器件的特性 1.它的直流 I-V 曲线如图1中的曲a 所示.如果逐渐增大通过此二端器件的电流,那么在开始时,器件两端电压为零;当通过的电流达到Ic时,电压从零跳到Vg;当电流继续增大时,电压沿着一条二次曲线上升.如果在此二端器件上加一个直流磁场,则 Ie会减小;当磁场从零增加到某个值Hl时,Ic则会降到零.此时,该器件的I-V曲线如图1中
We study the interplay of doping and an external magnetic field H on dimerized antiferromagnetic S = 1/2 systems with a finite spin gap Δ. We show that for sufficiently small three-dimensional coupling J′ the long-range antiferromagnetic order known to result from doping with nonmagnetic impurities is destroyed by a weak magnetic field H>Hc1. The lower critical field Hc1 is proportional to the impurity concentration, above Hc1 the system remains in the disordered (plateau) phase up to the much higher upper critical field Hc2 ≃Δ. We discuss the phase diagram in the (H,J') and (H,T) planes and suggest that the reentrant behavior can be experimentally observed in KCuCl3. It is argued that similar phenomena can arise in other weakly coupled quasi-one-dimensional gapped systems.
本文研究了具有两种三体相互作用的海森堡XXZ自旋链的量子相干与量子纠缠的特性。研究发现, 量子相干性不会出现突然死亡现象且非零量子相干性存在的温度范围大于量子纠缠存在的温度范围, 说明量子相干性相对于量子纠缠, 具有更强的鲁棒性。在量子临界环境中, 量子相干性可以表征本模型的量子相变现象。在铁磁情形中, 无论外磁场是否为0, 单独调控XZX+YZY三体相互作用对于减缓量子相干性的衰减速率与增大量子相干性存在的温度范围效果最好。在反铁磁情形中, 外磁场为0时, XZX+YZY与XZY-YZX两种三体相互作用的协同作用可以显著增加量子相干性的最大值, 并明显减缓其衰减速率。在铁磁情形与反铁磁情形中都发现当外磁场B<0时, 量子相干性存在的温度范围更大, 更有利于保存量子相干性。