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研究了具有三角自旋环的伊辛-海森伯链在磁场作用下的热纠缠性质.分别讨论了三角自旋环中自旋1/2粒子间相互作用的三种情形,即XXX,XXZ和XY Z海森伯模型.利用转移矩阵方法,数值计算了具有三角自旋环的伊辛-海森伯链的配对纠缠度.计算结果表明,外加磁场强度和温度对系统处于上述三种海森伯模型的热纠缠性质均有重要影响.给出了系统在不同的海森伯模型下,纠缠消失对应的临界温度随磁场强度的变化图,由此可以得到系统存在配对纠缠的参数区域,同时发现在特定的参数区域存在纠缠恢复现象.因此适当调节温度和磁场强度,可以有效调控具有三角自旋环的伊辛-海森伯链热纠缠性质. 相似文献
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本文通过decoration变换和decimation变换把在平方晶格上的自旋-1模型等价于一个checkerboard晶格上具有次近邻和四体相互作用的伊辛模型,并得到自旋-1模型的近似临界条件。该近似临界条件在极限情况下与Onsager的严格解一致。
关键词: 相似文献
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耦合表象下的原子第一电离能的计算 总被引:1,自引:1,他引:0
以相对论的Xα方程为基础,提出了一种新的计算模型,即耦合表 象下的自旋极化模型。该模型综合地考虑了相对论效应和电子的自旋状态,把处于自旋混合 态的电子并入已有的自旋极化模型中。用此模型计算了第三周期至第六周期的ⅢA~ⅧA原子 的电离势。计算结果与自旋极化模型,自旋非极化模型的计算结果以及实验结果进行了比较 。该模型在一定程度上优于其它计算模型,在核电荷数较大的体系中计算结果更接近实验值 。 相似文献
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K. Takahashi 《Zeitschrift für Physik B Condensed Matter》1988,71(2):205-217
We study the finite temperature property of a model on two dimensional square lattices with two Ising spins at each lattice site by Monte Carlo simulations. When those Ising spins at a lattice site are parallel the site is said to be in the high-spin state (HS), while when they are antiparallel the site is said to be in the low-spin state (LS). Throughout the study, the energy of HS is presumed to be higher than that of LS. Two Ising spins at each site are added to form a total spin, which interacts with its nearest neighbour total spins via spin-spin couplings. The spin-phonon coupling also is introduced via harmonic springs between nearest neighbour sites with spring constants and equilibrium distances depending on the spin states of the sites involved. In this system, we investigate the feature of transitions between LS and HS (to be called low/high spin transition (LHST)) by varying the temperature. As for the ferromagnetic interaction between total spins, the second order phase transition: pure HSmixed state of HS and LS is possible to occur in a pure spin system, as is expected from mean field calculations. The role of lattice distortions by the change of lattice spacings is shown to be essential for LHST: pure LS(pure)HS. In the model investigated, there appears an indication of the strong first order phase transition which reveals a conspicuous hysteresis. 相似文献
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Using the method of the Jordan--Wigner transformation for solving
different spin--spin correlation functions, we have investigated the
generation of next-nearest-neighbouring entanglement in a
one-dimensional quantum Ising spin chain with the Gaussian
distribution impurities of exchange couplings and external magnetic
fields taken into account. The maximal value of entanglement
between the next-nearest-neighbouring qubits in the transverse Ising
model was analysed in detail by varying the effectively controlled
parameters such as interchange coupling, magnetic field and the
system impurity. For such systems, where both exchange couplings and
external magnetic field disorder appear, we show that it is possible
to achieve next-nearest-neighbouring entanglement better than the
previously discussed pure Ising spin chain case. We also show that
the Gaussian distribution impurity can induce
next-nearest-neighbouring entanglement, which can be used as a means
to characterize quantum phase transition. 相似文献
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We calculate the dynamic phase transition (DPT) temperatures and present the dynamic phase diagrams in the kinetic mixed spin-1/2 and spin-5/2 Ising model under the presence of a time-dependent oscillating external magnetic field. We employ the Glauber transition rates to construct the set of mean-field dynamic equations. The time variation of the average magnetizations and the thermal behavior of the dynamic magnetizations are investigated, extensively. The nature (continuous or discontinuous) of the transitions is characterized by studying the thermal behaviors of the dynamic magnetizations. The DPT points are obtained and the phase diagrams are presented in two different planes. Phase diagrams contain four fundamental phases and three coexistence or mixed phases, which strongly depend on interaction parameters. The phase diagrams are discussed and a comparison is made with the results of the other mixed spin Ising systems. 相似文献
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GAO Xing-Ru YANG Zhan-Ru 《理论物理通讯》2007,48(3):553-562
In this paper we propose an Ising model on an infinite ladder lattice, which is made of two infinite Ising spin chains with interactions. It is essentially a quasi-one-dimessional Ising model because the length of the ladder lattice is infinite, while its width is finite. We investigate the phase transition and dynamic behavior of Ising model on this quasi-one-dimessional system. We use the generalized transfer matrix method to investigate the phase transition of the system. It is found that there is no nonzero temperature phase transition in this system. At the same time, we are interested in Glauber dynamics. Based on that, we obtain the time evolution of the local spin magnetization by exactly solving a set of master equations. 相似文献
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A simple and powerful method (two-site effective field approximation) for mixed spin Ising model was presented. Our result about transition temperature of mixed Ising spin system is much better than that by making use of other approximate methods. 相似文献
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In this paper we propose an Ising model on an infinite ladder lattice, which is made of two infinite Ising spin chains with interactions. It is essentially a quasi-one-dimessional Ising model because the length of the ladder lattice is infinite, while its width is finite. We investigate the phase transition and dynamic behavior of Ising model on this quasi-one-dimessional system. We use the generalized transfer matrix method to investigate the phase transition of the system. It is found that there is no nonzero temperature phase transition in this system. At the same time, we are interested in Glauber dynamics. Based on that, we obtain the time evolution of the local spin magnetization by exactly solving a set of master equations. 相似文献
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R. Mélin S. Peysson 《The European Physical Journal B - Condensed Matter and Complex Systems》2000,14(1):169-176
A Bethe-Peierls treatment to dilution in frustrated magnets and spin liquids is given. A spin glass phase is present at low
temperatures and close to the percolation point as soon as frustration takes a finite value in the dilute magnet model; the
spin glass phase is reentrant inside the ferromagnetic phase. An extension of the model is given, in which the spin glass/ferromagnet
phase boundary is shown not to reenter inside the ferromagnetic phase asymptotically close to the tricritical point whereas
it has a turning point at lower temperatures. We conjecture similar phase diagrams to exist in finite dimensional models not
constraint by a Nishimori's line. We increase frustration to study the effect of dilution in a spin liquid state. This provides
a “minimal” ordering by disorder from an Ising paramagnet to an Ising spin glass.
Received 9 April 1999 and Received in final form 27 September 1999 相似文献
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The damage spreading of the Ising model on the 3–12 lattice with competing Glauber and Kawasaki dynamics is studied. The difference
between the two kinds of nearest-neighboring spin interactions (interaction between two 12-gons, or interaction between a
12-gon and a triangle) are considered in the Hamiltonian. It is shown that the ratio of the interaction strengthF between the two kinds of interactions plays an important role in determining the critical temperature Td of phase transition from frozen to chaotic. Two methods are used to introduce the bond dilution on the Ising model on the
3–12 lattice: regular and random. The maximum of the average damage spreading 〈D〉max can approach values lower than 0.5 in both cases and the reason can be attributed to the ’survivors’ among the spins. We
have also, for the first time, presented the phase diagram of the mixed G-K dynamics in the 3–12 lattice which shows what
happens when going from pure Glauber to pure Kawasaki 相似文献
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The longitudinal-random-fieM mixed Ising model consisting of arbitrary spin values has been studied by the use of an effective field theory with correlations (EFT). The phase diagrams of systems with mixed spins: σ = 1/2, S = 1; σ = 1/2, S = 3/2 are plotted. Not only the discontinuity at T = 0 K, is found when both longitudinal fields are trimodal distributed, but also the trieritical behavior is observed in these phase diagrams between the bimodal and trimodal distributions of longitudinal fields, which is different from the single-spin one. The appearance of tricritical point is independent of the coordination number and spin values. 相似文献
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The mixed spin-(1/2, 1) Ising model on two fully frustrated triangles-in-triangles lattices is exactly solved with the help of the generalized star-triangle transformation, which establishes a rigorous mapping correspondence with the equivalent spin- 1/2 Ising model on a triangular lattice. It is shown that the mutual interplay between the spin frustration and single-ion anisotropy gives rise to various spontaneously ordered and disordered ground states, which differ mainly in an occurrence probability of the non-magnetic spin state of the integer-valued decorating spins. We have convincingly evidenced a possible coexistence of the spontaneous long-range order with a partial disorder within the striking ordered–disordered ground state, which manifests itself through a non-trivial criticality at finite temperatures as well. A rather rich critical behavior including the order-from-disorder effect and reentrant phase transitions with either two or three successive critical points is also found. 相似文献