双层Heisenberg反铁磁体中的量子相变

用键算符平均场方法研究了双层正方格子Heisenberg反铁磁体中的量子相变问题.得到的临界点以及低温下的量子临界行为符合相关的数值计算结果和非线性σ模型的结果.在数值计算不能达到的极低温度范围（T≤0.3J₁,J₁为面内最近邻反铁磁交换作用）,给出了量子临界行为的新证据. 关键词：     

Quantum Phase Transition in Quasi-two-dimensional Heisenberg Antiferromagnet with Single-Ion Anisotropy

In the present paper, we investigate the quantum phase transition in a spatially anisotropic antiferrornagnetic Heisenberg model of S =1 with single-ion energy anisotropy. By using the Schwinger boson representation, we calculate the Gaussian correction to the critical value J⊥^c caused by quantum spin fluctuations. We find that, for the positive single-ion energy, a nonzero value of J⊥^c is always needed to stabilize the antiferromagnetic long-range order in this model. It resolves a difference among literature and shows clearly that the effect of quantum fluctuations may qualitatively change a result obtained by the mean-field theories on lower-dimensional systems.     

Hidden Symmetries in the Two-Dimensional Isotropic Antiferromagnet

We discuss the two-dimensional isotropic antiferromagnet in the framework of gauge invariance. Gauge invariance is one of the most subtle useful concepts in theoretical physics, since it allows one to describe the time evolution of complex physical system in arbitrary sequences of reference frames. All theories of the fundamental interactions rely on gauge invariance. In Dirac’s approach, the two-dimensional isotropic antiferromagnet is subject to second-class constraints, which are independent of the Hamiltonian symmetries and can be used to eliminate certain canonical variables from the theory. We have used the symplectic embedding formalism developed by a few of us to make the system under study gauge invariant. After carrying out the embedding and Dirac analysis, we systematically show how second-class constraints can generate hidden symmetries. We obtain the invariant second-order Lagrangian and the gauge-invariant model Hamiltonian. Finally, for a particular choice of factor ordering, we derive the functional Schröodinger equations for the original Hamiltonian and for the first-class Hamiltonian and show them to be identical, which justifies our choice of factor ordering.     

Effect of Quantum Fluctuation on Two-Dimensional Spatially Anisotropic Heisenberg Antiferromagnet with Integer Spin

In the present paper, we calculate the Gaussian correction to the critical value J_⊥^c caused by quantum spin fluctuation in a two-dimensional spatially anisotropic Heisenberg antiferromagnet with integer spin S. Previously, some authors computed this quantity by the mean-field theory based on the Schwinger boson representation of spin operators. However, for S=1, their result is much less than the one derived by numerical calculations. By taking the effect of quantum spin fluctuation into consideration, we are able to produce a greatly improved result.     

Theory of Quantum Magneto-Transport in Two-Dimensional Electron Systems

By making use of the concept of phase slippage originally proposed by Anderson, we present a theoretical study of the boundary between two contiguous twodimensional electron systems in a strong magnetic field based on the conclusion that the number of flux quanta (h/e) pertaining to a electron is the inverse Landau filling factor. The magneto-transportation is related to the superfluidity analogy of the two-dimensional electron system. It is shown that voltages on the perimeters are determined explicitly by the Landau indices of the two contiguous regions. Then we apply to systems with many region in series and obtain results which are in good agreement with experiments associated with both the integer and fractional quantum Hall effects. Finally we discuss the quantization of the source-drain two-terminal resk tances.     

Quantum Tunneling in an Order-Parameter-Preserving Antiferromagnet

We have studied quantum tunneling in an order-parameter-preserving antiferromagnet with the help of Holstein-Primakoff transformation. It is found that, when the system being prepared in a coherent state, there exist the quantum tunneling between lattices k and k+1, k and k−1, respectively. In particular, when the lattice is infinitely long and the spin excitations are in the long-wavelength limit, quantum tunneling disappear between lattices k and k+1, and that k and k−1, in this case the magnetic soliton appears.     

Quantum Kinematic Theory of the Poincare Group in Two-Dimensional Spacetime

Non-Abelian quantum kinematics is applied to thePoincare group P ₊ (1, 1),as an example of the quantization-through-the-symmetryapproach to quantum mechanics. Upon quantizing thegroup, generalized Heisenberg commutation relations are obtained, and aclosed Heisenberg–Weyl algebra follows. Then,according to the general theory, the three basicquantum-kinematic invariant operators are calculated;these afford the superselection rules for diagonalizing theincoherent rigged Hilbert space H(P ₊ ) of the regularrepresentation. This paper examines only one of thesediagonalization schemes, while introducing a irreducible spacetime representation carried by isotopicplane-wave eigenvectors of two compatible superselectionoperators (which define a Poincare-invariant linear2-momentum). Thereafter, the principle of microcausality produces massive 2-spinor isotopic states in 1+ 1 Minkowski space. The Dirac equation is thus deducedwithin the quantum kinematic formalism, and the familiarJordan–Pauli propagation kernel in 2-dimensional spacetime is also obtained as a Hurwitzinvariant integral over the group manifold. The maininterest of this approach lies in the adoptedgroup-quantization technique, which is a strictlydeductive method and uses exclusively the assumed Poincaresymmetry.     

Properties of One Oxygen Hole Motion in a Quantum Antiferromagnet

By making use of the equation of motion of the Green's function method and the selfconsistent nondiagonal Fock approximation technique, we present a systematic analysis of the ground state properties of one-hole doping in the cupric oxides for the two-band model. The quant urn Bogoliu bov-de Gennes formalism is developed to study the renormalized hole motion with the effects of local distortion of spin configurations. The ground state wave function, the ground state energy and the effective mass are derived. The calculations are carried out with the variational approach.     

Optical Investigation of the Phase State of a Dilute Antiferromagnet

The behavior of exciton-magnon light absorption bands of Rb₂Mn _x Cd_1–x Cl₄ crystals in the region of the ⁶ A _1g ⁴ T _2g (⁴ D) optical transition of manganese ions in a magnetic field is used to construct magnetic phase state diagrams. The x-H and x-T diagrams are constructed. The components of the g-factor are determined for the examined excited state.     

Magnetic Phase Transition in Two-Dimensional CrBr3 Probed by a Quantum Sensor

Recently, magnetism in two-dimensional(2 D) van der Waals(vd W) materials has attracted wide interests. It is anticipated that these materials will stimulate discovery of new physical phenomena and novel applications. The capability to quantitatively measure the magnetism of 2 D magnetic vd W materials is essential to understand these materials. Here we report on quantitative measurements of ferromagnetic-to-paramagnetic phase transition of an atomically thin(down to 11 nm) vd W magnet, namely C...     

High-Field and Multifrequency ESR in the Two-Dimensional Triangular Lattice Antiferromagnet NiGa2S4

We report the experimental results of electron spin resonance in high magnetic fields up to about 53 T on the quasi-two-dimensional triangular lattice antiferromagnet NiGa₂S₄. The temperature dependence of the resonance field at 584.8 GHz shows a steep change below about 30 K, indicating a development of the short-range correlation. The frequency dependence of the resonance field at the lowest temperature for H∥c is explained by one of the helical resonance modes. These experimental results suggest that the short-range order is well developed at low temperatures, and the resonance mode is described by a conventional spin wave theory.     

Spin-Wave Analysis of the Spin-1 Two-Dimensional Frustrated Heisenberg Antiferromagnet with the Single-Ion Anisotropy

In this paper, the low-temperature properties of the spin-1 two-dimensional frustrated Heisenberg antifer- romagnet with the single-ion anisotropy are investigated on a square lattice by using the spin-wave theory. The influence of the frustration and anisotropy is found in the thermodynamics of the model, such as the temperature dependence of the staggered magnetization and specific heat. For some selected values of the frustration and anisotropy parameters, the results for the specific heat are compared with those of existing theories and numerical estimates. Within a spin-wave analysis, we have found the evidence for an intermediate magnetically disorder phase to separate the Néel and collinear phases.     

Spin-Wave Analysis of the Spin-1 Two-Dimensional Frustrated Heisenberg Antiferromagnet with the Single-Ion Anisotropy

In this paper,the low-temperature properties of the spin-1 two-dimensional frustrated Heisenberg antiferromagnet with the single-ion anisotropy are investigated on a square lattice by using the spin-wave theory.The influence of the frustration and anisotropy is found in the thermodynamics of the model,such as the temperature dependence of the staggered magnetization and specific heat.For some selected values of the frustration and anisotropy parameters,the results for the specific heat are compared with those of existing theories and numerical estimates.Within a spin-wave analysis,we have found the evidence for an intermediate magnetically disorder phase to separate the N′eel and collinear phases.     

Quantum Breathers in a Two-Dimensional Hexangular Heisenberg Ferromagnet

International Journal of Theoretical Physics - We present a theoretical study on quantum breathers in a XXZ Heisenberg ferromagnet with the single-ion uniaxial anisotropy on a two-dimensional...     

Thermopower of a Two-Dimensional Semimetal in a HgTe Quantum Well

The thermopower in a two-dimensional semimetal existing in HgTe quantum wells 18–21 nm thick has been studied experimentally and theoretically for the first time. It has been found theoretically and experimentally that the thermopower has two components—diffusion and phonon-drag—and that the second component is several times larger than the first. It has been concluded that the electron–hole scattering plays an important role in both mechanisms of the thermopower.     

Quantum Communication Through a Two-Dimensional Spin Network

We investigate the state or entanglement transfer through a two-dimensional spin network. We show that for state transfer, better fidelity can be gained along the diagonal direction but for entanglement transfer, when the initial entanglement is created along the boundary, the concurrence is more inclined to propagate along the boundary. This behavior is produced by quantum mechanical interference and the communication quality depends on the precise size of the network. For some number of sites, the fidelity in a two-dimensional channel is higher than one-dimensional case. This is an important result for realizing quantum communication through high dimension spin chain networks.     

Quantum Communication Through a Two-Dimensional Spin Network

We investigate the state or entanglement transfer through a two-dimensional spin network. We show that for state transfer, better fidelity can be gained along the diagonal direction but for entanglement transfer, when the initial entanglement is created along the boundary, the concurrence is more inclined to propagate along the boundary. This behavior is produced by quantum mechanical interference and the communication quality depends on the precise size of the network. For some number of sites, the fidelity in a two-dimensional channel is higher than one-dimensional case. This is an important result for realizing quantum communication through high dimension spin chain networks.     

Quantum Deformation of the Two-Dimensional Hydrogen Atom in a Magnetic Field

The deformed Schrodinger equation for thetwo-dimensional hydrogen atom in a homogeneous magneticfield is obtained. It is found that the deformedpotential belongs to a new set of quasi-exactly solvable potentials.