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利用费米子变换方法,将 Ising 自旋(S=1/2)反铁磁超晶格体系变换为粒子数不守恒的费米子体系.再利用量子统计微扰方法,在二级微扰近似下对周期为L=L_a+L_b(L_a=L_b)的 Ising 自旋(S=1/2)反铁磁超晶格进行了计算,求得了这种超晶格体系的自由能等一些热力学量和温度(T)、周期 L 的关系式. 相似文献
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对于一个N电子体系, 正确的交换Hamilton应该由两项组成,为Hex=-2A1ii·sj-2A2ii·sj,而不是以往的铁磁学理论使用的Hex=-2Aii ·sj (其中A为A1与A2的代数和, A1>0, A2<0), 以往的理论使用了一个不合理的交换Hamiltonian量.-2A1ii·sj与-2A2ii< /sub>·sj在数学上是同类项,但是在物理上不是 同类项,它们有不同的本征态和本征值.根据量子力学中的态叠加原理,这个电子系统的本 征态矢为X〉=1A21+A22(A1 1〉+A2‖2〉),其中Dirac符号1〉表示系统所有电子 的自旋平行排列时的态(简称平行自旋态)矢量,2〉表示系统所有电子或最近邻电子的自 旋反平行排列时的态(简称反平行自旋态)矢量,Hex的本征值(即系统的 交换能) 为E=-Nz(A1-A2)-2NzA22A1 +A2=-Nz(A2-A1)-2NzA21A< sub>1+A2,其中z为最近邻电子数.当A2=0时,X〉=1〉,E =-A1, 系统具有Wei ss 铁磁性;当A1 =0 时,X〉=2〉,E =-A2,系统具有Neel 反铁磁性;当A1 =A2(即A=0)时,X〉=12 (1〉+2〉),E=-A1,系统处于自旋玻璃(spin glass)态;当A1>A 2时,X〉=1A21+A22[(A1-A2)1〉+A2(1〉+2〉)],平行自旋态与自旋 玻璃态共存;当A12时,X〉=1A21+A22[(A2-A1)2〉+A1( 1〉+2〉)],反平行自旋态与自旋玻 璃态共存.与原来理论中的Weiss铁磁态或Neel反铁磁态相比,平行自旋态与自旋玻璃态共存 或反平行自旋态与自旋玻璃态共存使系统的交换能降低.自旋玻璃态中电子自旋之间取向的 随机性或无序性是由交换Hamiltonian中-2A1iisj 与-2A2ii·sj之间的竞争引起的,不是热运 动引起的.
关键词:
交换哈密顿量
铁磁态
反铁磁态
自旋玻璃态 相似文献
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研究了基于硅烯的静电势超晶格、铁磁超晶格、反铁磁超晶格中谷极化、自旋极化以及赝自旋极化的输运性质,分析了铁磁交换场、反铁磁交换场以及化学势对输运性质的影响,讨论了电场对谷极化、自旋极化以及赝自旋极化的调控作用.结果表明:当3种超晶格的晶格数达到10以上时,在硅烯超晶格中很容易实现100%的谷极化、自旋极化和赝自旋极化,而且通过调节超晶格上的外加电场可以使极化方向发生翻转,从而在硅烯超晶格中实现外电场对谷自由度、自旋自由度以及赝自旋自由度的操控. 相似文献
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基于密度泛函理论(DFT),使用局域密度近似(LDA)研究了Heusler合金Cu1-xFexMnSb的电子结构和反铁磁-铁磁相变。研究发现,两种磁状态下的合金晶格常数随掺杂浓度x变化很好地满足Vegard定理。当x>0.5时,铁磁态合金的总磁矩很好地符合SP规律,然而当x<0.5时,却发生了明显的偏离。由于整个体系存在RKKY和超交换磁耦合的竞争,因而在x=0.25时,我们观察到了独特的反铁磁—铁磁相变。进一步的态密度分析发现,Cu的掺杂浓度可以有效调整铁磁态合金的费米面位置,并且反铁磁态合金由于不同自旋方向的Mn原子的分波态密度相互补偿,总态密度形成了几乎完全对称的自旋向上带和自旋向下带。 相似文献
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基于密度泛函理论(DFT),使用局域密度近似(LDA)研究了Heusler合金Cu1-xFex MnSb的电子结构和反铁磁-铁磁相变.研究发现,两种磁状态下的合金晶格常数随掺杂浓度x变化很好地满足Vegard定理.当x0.5时,铁磁态合金的总磁矩很好地符合SP规律,然而当x0.5时,却发生了明显的偏离.由于整个体系存在RKKY和超交换磁耦合的竞争,因而在x=0.25时,我们观察到了独特的反铁磁—铁磁相变.进一步的态密度分析发现,Cu的掺杂浓度可以有效调整铁磁态合金的费米面位置,并且反铁磁态合金由于不同自旋方向的Mn原子的分波态密度相互补偿,总态密度形成了几乎完全对称的自旋向上带和自旋向下带. 相似文献
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La$lt;sub$gt;0.4$lt;/sub$gt;Ca$lt;sub$gt;0.6$lt;/sub$gt;MnO$lt;sub$gt;3$lt;/sub$gt;中Mn-位Fe和Cr掺杂对磁性质的影响 下载免费PDF全文
研究了Fe和Cr掺杂对La0.4Ca0.6MnO3 中电荷有序反铁磁基态的调控作用. 磁性质的测量结果表明, 两种离子掺杂均能有效抑制原型样品中的长程电荷有序相, 但是Fe离子掺杂样品均具有反铁磁的基态, 而Cr掺杂样品中则出现了显著的铁磁性. 结合电输运测量结果显示, Cr掺杂引起的铁磁态同时具有金属性, 表明其中是电子双交换作用占主导. 对比两种掺杂离子的电子结构发现, Cr离子空的eg电子轨道促进了电子双交换作用, 而Fe掺杂则只是引入了不同的自旋交换作用, 导致自旋无序.
关键词:
磁性氧化物
反铁磁 相似文献
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We study the effects of frustration between nearest, next-nearest neighbor and next-next-nearest neighbors (NNN) of the quantum S=1 anisotropic antiferromagnetic Heisenberg model on a simple cubic lattice with single ion anisotropy using the bond operator technique. We calculate the phase diagram at zero temperature and the gap as a function of temperature in the disordered paramagnetic phase. 相似文献
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A.S.T. Pires 《Physica A》2011,390(15):2787-2793
We study the effect of frustration between nearest and next-nearest neighbors of the quantum S=1 anisotropic Heisenberg model on a square lattice using the bond operator technique. A single-site anisotropy term induces a quantum phase transition in the system. We calculate the effect of zero-temperature quantum fluctuations on the magnetization for the Néel and collinear antiferromagnetic phases. 相似文献
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本文用文献[4]中提出的方法,变S=1的Ising体系成一个粒子数不守恒的费密体系,严格地求得了具有最近邻及次近邻相互作用的反铁磁Ising晶格在任意外场下的基态能量,得到了零温的相图。
关键词: 相似文献
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The Monte Carlo method has been used to study phase transitions and the structure of the ground state of the antiferromagnetic Ising model on a body-centered cubic lattice taking into account the interactions of nearest and next nearest neighbors. All possible magnetic structures of the ground state have been obtained for the first time as a function of the ratio of exchange interactions r. It is shown that six different orderings in the ground state are possible in the system as a function of the r value. The phase diagram of the dependence of the critical temperature on the interaction of the next nearest neighbors is constructed. For the first time, a narrow region (2/3 < r ≤ 0.75) is found in the diagram where the transition from the antiferromagnetic phase to the paramagnetic phase occurs as a first-order phase transition. It is shown that the competition between exchange interactions at the value r = 2/3 does not lead to the frustration and degeneracy of the ground state. 相似文献
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Based on first-principles vector spin-density total-energy calculations of the magnetic and electronic structure of Cr and Mn transition-metal monolayers on the triangular lattice of a (111) oriented Cu surface, we propose for Mn a three-dimensional noncollinear spin structure on a two-dimensional triangular lattice as magnetic ground state. This new spin structure is a multiple spin-density wave of three row-wise antiferromagnetic spin states and comes about due to magnetic interactions beyond the nearest neighbors and due to higher order spin interactions (i.e., four spin). The magnetic ground state of Cr is a coplanar noncollinear periodic 120 degrees Néel structure. 相似文献
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E. V. Kuz’min 《Journal of Experimental and Theoretical Physics》2003,96(1):129-139
The properties of the spin system in the FCC lattice described by the Heisenberg model (s=1/2) with antiferromagnetic interactions between the nearest neighbors were studied. It was shown within the framework of spin-wave theory that long-range antiferromagnetic order was absent because of frustration of exchange coupling and transverse quantum spin fluctuations. The system was in the quantum spin liquid state. A method for describing it within linear second-order theory with self-consistently calculated parameters was suggested. It was proved that the ground spin liquid state was singlet. The thermodynamic properties of the spin liquid in the whole temperature range and the character of spatial spin correlations, which had alternating signs and a finite correlation length, were determined. The theory was constructed based on the method of two-time Green temperature functions. 相似文献
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The quantum anisotropic antiferromagnetic Heisenberg model with single ion anisotropy, spin S=1 and up to the next-next-nearest neighbor coupling (the J1–J2–J3 model) on a square lattice, is studied using the bond-operator formalism in a mean field approximation. The quantum phase transitions at zero temperature are obtained. The model features a complex T=0 phase diagram, whose ordering vector is subject to quantum corrections with respect to the classical limit. The phase diagram shows a quantum paramagnetic phase situated among Neél, spiral and collinear states. 相似文献
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S. S. Aplesnin 《Journal of Experimental and Theoretical Physics》2000,90(1):194-201
An approximation dependence of the spontaneous magnetic moment at a site, σ/σ(0) ? 1 = and the antiferromagnet-singlet state phase boundary, J 2/J 1 = 0.52(3)δ, are determined by the quantum Monte Carlo method in the self-consistent sublattice molecular field approximation for weakly inter-acting (J 2) antiferromagnetic chains with spin S = 1/2 and alternating exchange interaction (J 1 ± δ). The Néél temperature and a number of critical temperatures which could be related with the filling energy of two singlets (ΔS z = 0) and one triplet (ΔS z = 1) spin bands, each of which is split by the sublattice field (h x, y ≠ h z into two subbands, are determined on the basis of the computed correlation radii of the two-and four-spin correlation function, the squared total spin 〈 (S z)2〉 with respect to the longitudinal components, the dimerization parameter, and the correlation functions between the nearest neighbors with respect to longitudinal and transverse spin components. On the basis of the Monte Carlo calculations, the critical temperatures and possible energy gaps at the band center are determined for the antiferromagnets CuWO4 and Bi2CuO4 and for the singlet compounds (VO)2P2O7 and CuGeO3, agreeing satisfactorily with existing results, and new effects are also predicted. 相似文献
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E. V. Kuz’min 《Physics of the Solid State》2002,44(6):1122-1129
The spin system of the Heisenberg model (s=1/2) on a square lattice with antiferromagnetic (AFM) exchange between nearest neighbors (in which there is no long-range magnetic order at any T≠0) is treated as a spatially homogeneous isotropic spin liquid. The double-time temperature Green’s function method is used in the framework of a second-step decoupling scheme. It is shown that, as T → 0, the spin liquid goes over (without any change in symmetry) to a singlet state with energy (per bond) ?0=?0.352 and the correlation length diverges as ξ ∝ T ?1 exp(T 0/T). The spatial spin correlators oscillate in sign with distance, as in the AFM state. The theory allows one to calculate the main characteristics of the system in all temperature ranges. 相似文献