Pauli spin susceptibility in the t-J model

Using a self-consistent theory for the Green function of Hubbard operators, the spin susceptibility is calculated as a function of the carrier concentration. The text was submitted by the authors in English.     

Noncommutation of Pauli spin operators in neutron polarimetry

A neutron spin polarimetric experiment is described which explicitly demonstrates the noncommutation properties of Pauli spin operators. Commutation of the sequential order of two successive π spin rotators leads to different final polarization states of the transmitted neutron beam. An interpretation of the observations is also given in terms of interference between two mutually orthogonal spin states that undergo different phase shifts upon the commutation of spin rotators.     

A path-integral formulation of the Pauli equation using two real spin coordinates

Feynman's path-integral quantum-mechanical formulation is generalised for particles of spin 1/2. In the one-particle case, the path-integral formulation uses paths in a Euclidean real five-dimensional space, two coordinates (u, v) being reserved for spin. The path integral is proven to correspond exactly to the Pauli equation. A canonical density-matrix formulation is also dealt with. Basic ideas are to start with differential spin operators instead of the Pauli matrices and apply them to functions ψ=ψ ₁(r,t)u +gy ₂(r,t)v whereψ ₁,ψ ₂ are the Pauli wave functions. Then a ‘nilpotent’ spin ‘kinetic-energy’ term is added to the Hamiltonian. This enables us to find a non-matrix spin-dependent Lagrangian which is used as usual in the action of a path integral of the Feynman type. Integral relations are derived from which the path integral can be transformed into components of the Pauli matrix Green's function (propagator) or the canonical density matrix. As an example, a path-integral calculation of the normal Zeeman splitting is carried out.     

Pauli spin susceptibility of a strongly correlated two-dimensional electron liquid

Thermodynamic measurements reveal that the Pauli spin susceptibility of strongly correlated two-dimensional electrons in silicon grows critically at low electron densities--behavior that is characteristic of the existence of a phase transition.     

非Abel Chern-Simons理论中量子水平的分数自旋性质

与经典水平下的研究不同，研究了（2＋1）维含非Abel Chern-Simons 项的非线性σ模 型量子水平的分数自旋性质.根据约束Hamilton系统的Faddeev-Senjanovic(FS)路径积分量 子化方案,对该系统进行量子化，由量子Noether定理给出了量子守恒角动量，说明了在量子 水平上该系统仍具有分数自旋的性质. 关键词： 约束Hamilton系统 分数自旋 O(3)非线性σ模型     

Pauli Paramagnetic Susceptibility of an Ideal Anyon Gas within Haldane Fractional Exclusion Statistics

The finite-temperature Pauli paramagnetic susceptibility of a three-dimensional ideal anyon gas obeying Haldane fractional exclusion statistics is studied analytically.Different from the result of an ideal Fermi gas,the susceptibility of an ideal anyon gas depends on a statistical factor g in Haldane statistics model.The low-temperature and high-temperature behaviors of the susceptibility are investigated in detail.The Pauli paramagnetic susceptibility of the two-dimensional ideal anyons is also derived.It is found that the reciprocal of the susceptibility has the similar factorizable property which is exhibited in some thermodynamic quantities in two dimensions.     

Experimental verification of the commutation relation for Pauli spin operators using single-photon quantum interference

We report experimental verification of the commutation relation for Pauli spin operators using the single-photon polarization state. The experimental quantum operation corresponding to the commutator, [σz,σx]=kσy, showed process fidelity of 0.94 compared to the ideal σy operation and |k| is determined to be 2.12±0.18.     

Fractional charge and statistics in the fractional quantum spin Hall effect

In this paper, we consider there exist two types of fundamental quasihole excitation in the fractional quantum spin Hall state and investigate their topological properties by both Chern-Simons field theory and the Berry phase technique. By the two different techniques, we obtain the identical charge and statistical angle for each type of quasihole, as well as the identical mutual statistics between two different types of quasihole excitation.     

Evolution of spin susceptibility from the Pauli to Curie-Weiss type in strongly correlated Fermi systems

The magnetic properties of strongly correlated Fermi systems are studied within the framework of the fermioncondensation model—phase transition associated with the rearrangement of the Landau quasiparticle distribution, resulting in the appearance of a plateau at T=0 exactly in the Fermi surface of the single-particle excitation spectrum. It is shown that the Curie-Weiss term ～T^?1 appears in the expression for the spin susceptibility χ_ac(T) of the system after the transition point at finite temperatures. The behavior of χ_ac(T, H) as a function of temperature and static magnetic field H in the region where the critical fermion-condensation temperature T _f is close to zero is discussed. The results are compared with the available experimental data.     

Pauli spin paramagnetism in amorphous Fe24Zr76

Results of the magnetic susceptibility, χ, measurements on amorphous Fe₂₄Zr₇₆ presented here when combined with the previously reported photoemission data enable us not only to separate unambiguously the Pauli spin and orbital contributions to χ but also to arrive at a reliable value for the Van Vleck susceptibility of pure Zr.     

A relativisitic “higher spin” quaternion wave equation giving a variation on the Pauli equation

A variation on the Dirac equation is presented which gives a new internal quantum number besides spin, producing four degrees of freedom.     

Spin-dependent potentials in QCD and the correct long-range spin orbit term

After demonstrating the equivalence of an approach of the author with an earlier one of Eichten and Feinberg as far as the general form of the spin-dependent quark-antiquark potential in order 1/m ² is concerned we point out an inconsistency in the further assumptions which were made in both papers. We show that there is a relation between the various potentials which was violated by these assumptions. The correct treatment yields an, additional spin-orbit term which reverses the sign of the one obtained before and brings it into agreement with that of an effective scalar exchange.     

Spin-charge separation and the Pauli electron

The separation between the spin and the charge converts the quantum mechanical Pauli Hamiltonian into the Hamiltonian of the non-Abelian Georgi-Glashow model, which is notorious for its magnetic monopoles and confinement. The independent spin and charge fluctuations both lead to the Faddeev model, suggesting the existence of a deep duality structure and indicating that the fundamental carriers of the spin and charge are knotted solitons. The text was submitted by the authors in English.