Magnetic phase transitions in one-dimensional strongly attractive three-component ultracold fermions

We investigate the nature of trions, pairing, and quantum phase transitions in one-dimensional strongly attractive three-component ultracold fermions in external fields. Exact results for the ground-state energy, critical fields, magnetization and phase diagrams are obtained analytically from the Bethe ansatz solutions. Driven by Zeeman splitting, the system shows exotic phases of trions, bound pairs, a normal Fermi liquid, and four mixtures of these states. Particularly, a smooth phase transition from a trionic phase into a pairing phase occurs as the highest hyperfine level separates from the two lower energy levels. In contrast, there is a smooth phase transition from the trionic phase into a normal Fermi liquid as the lowest level separates from the two higher levels.     

Nonequilibrium phase transitions in ferromagnetic semiconductors (EuO<Subscript>1–δ</Subscript>)

The features of metal‒semiconductor kinetic phase transformation in ferromagnetic semiconductors are studied. It is shown that heat release caused by current results in a positive feedback between the current density and the sample temperature, magnetization, and thermal-spin fluctuation amplitude. The Joule heating of the sample leads to disappearance of magnetization and, as a result, to restoration of the forbidden band between the conduction and valence bands. However, the energy gap width continues to change due to an increase in the fluctuations of internal exchange fields splitting the electron states. Within the framework of the developed model, an S-shaped volt-ampere characteristic is obtained for a EuO_1–δ, ferromagnetic semiconductor. The lower branch of the characteristic corresponds to a ferromagnetic metal state (a “cold” phase) and the upper one is due to a semiconductor paramagnetic state (a “hot” phase).     

Critical Fe thickness for effective coercivity reduction in FePt/Fe exchange-coupled bilayer

FePt/Fe perpendicular exchange-coupled bilayers with different Fe thicknesses were prepared to study the exchange coupling effect and the magnetization switching mechanism. An Fe thickness of 3 nm was found to be the critical point where the coercivity reduction became saturated and had the largest thermal stability gain factor of 2.25. This thickness was close to the exchange length between the magnetically hard and soft layers. Within the exchange length the soft phase strongly coupled to the hard phase and the magnetization of the bilayer processed single switching; beyond the exchange length reversible magnetization increased with the Fe thickness and exchange spring effect was found. Our simulation results also revealed that the exchange length was the critical Fe thickness for effective coercivity reduction and for maintaining high remanence.     

Magnetic properties of the spin S = 1/2 Heisenberg chain with hexamer modulation of exchange

We consider the spin-1/2 Heisenberg chain with alternating spin exchange in the presence of additional modulation of exchange on odd bonds with period 3. We study the ground state magnetic phase diagram of this hexamer spin chain in the limit of very strong antiferromagnetic (AF) exchange on odd bonds using the numerical Lanczos method and bosonization approach. In the limit of strong magnetic field commensurate with the dominating AF exchange, the model is mapped onto an effective XXZ Heisenberg chain in the presence of uniform and spatially modulated fields, which is studied using the standard continuum-limit bosonization approach. In the absence of additional hexamer modulation, the model undergoes a quantum phase transition from a gapped phase into the only one gapless Lüttinger liquid (LL) phase by increasing the magnetic field. In the presence of hexamer modulation, two new gapped phases are identified in the ground state at magnetization equal to [Formula: see text] and [Formula: see text] of the saturation value. These phases reveal themselves also in the magnetization curve as plateaus at corresponding values of magnetization. As a result, the magnetic phase diagram of the hexamer chain shows seven different quantum phases, four gapped and three gapless, and the system is characterized by six critical fields which mark quantum phase transitions between the ordered gapped and the LL gapless phases.     

Slow Oscillations of the Perpendicular Magnetization of the Pt/Co/Ir/Co/Pt Spin Valve

The time dependences of the transfer of the magnetic moment between stable magnetic states of heterostructures with two Pt/Co/Ir/Co/Pt ferromagnetic layers with the perpendicular magnetization have been studied. Spontaneous oscillations of the macroscopic magnetization with a period of several hours are observed after switching the magnetic field to a new value. The phase portrait of the magnetic relaxation corresponds to damped oscillations. The macrospin oscillation may be due to the high nucleation rate of the reverse magnetization phase induced by the exchange and magnetic dipole interaction between the phase nucleation centers, which arise in different layers. The changes in the Zeeman energy of the system under magnetic oscillations are considered.     

Monte Carlo computer experiments on critical phenomena and metastable states

Ising and Heisenberg models are studied by the Monte Carlo method. Several hundred up to 60 000 spins located at two- and three-dimensional lattices are treated and various boundary conditions used to elucidate various aspects of phase transitions. Using free boundaries the finite size scaling theory is tested and surface properties are derived, while the periodic boundary condition or the effective field-like ‘self-consistent’ boundary condition are used to derive bulk critical properties. Since Monte Carlo averages can be interpreted as time averages of a stochastic model, ‘critical slowing down of convergence’ occurs. The critical dynamics is investigated in the case of the single spin-flip kinetic Ising model. Also non-equilibrium relaxation processes are treated, e.g. switching on small negative fields the magnetization reversal and nucleation processes are studied. The metastable states found can be understood in terms of a scaling theory and the droplet model. Using a spin exchange model the phase separation kinetics of a binary alloy is simulated.     

Spin-switch effect in a graphene d-wave superconductor spin-valve

In this paper, spin-switch effect under the influence of anisotropic pairing symmetry is investigated. It is shown that the non-local conductance is sensitive to the exchange splitting, the incident energy, and the orientation of the superconducting gap. With the increase of the exchange splitting from zero to Fermi energy, the crossed Andreev reflection conductance for parallel configuration of magnetization and the elastic co-tunneling conductance for antiparallel configuration of magnetization are suppressed to a vanishing value. When the exchange splitting equates to Fermi energy, for values of the orientation of d-wave superconducting gap in the k-space very close to π / 4, magnitude of the spin-switch effect is suppressed completely. Moreover, in contrast to the single graphene-based ferromagnet/superconductor junction case, a π / 2 periodic oscillatory behavior about the barrier is observed directly in the present spin valve. The physical origination for those phenomena has also been analyzed.     

Exchange and spin states in quantum dots under strong spatial correlations. Computer simulation by the Feynman path integral method

The fundamental laws in the behavior of electrons in model quantum dots that are caused by exchange and strong Coulomb correlations are studied. The ab initio path integral method is used to numerically simulate systems of two, three, four, and six interacting identical electrons confined in a three-dimensional spherical potential well with a parabolic confining potential against the background of thermal fluctuations. The temperature dependences of spin and collective spin magnetic susceptibility are calculated for model quantum dots of various spatial sizes. A basically exact procedure is proposed for taking into account the permutation symmetry and the spin state of electrons, which makes it possible to perform numerical calculations using modern computer facilities. The conditions of applicability of a virial energy estimator and its optimum form in exchange systems are determined. A correlation estimator of kinetic energy, which is an alternative to a basic estimator, is suggested. A fundamental relation between the kinetic energy of a quantum particle and the character of its virtual diffusion in imaginary time is demonstrated. The process of natural “pairing” of electron spins during the compression of a quantum dot and cooling of a system is numerically reproduced in terms of path integrals. The temperature dependences of the spin magnetic susceptibility of electron pairs with a characteristic maximum caused by spin pairing are obtained.     

The Landau model of spontaneous metamagnetism involving inequivalent sublattices

A Landau-type free energy expansion is postulated for a metamagnet possessing two inequivalent magnetic sublattices. Stability analysis of the free energy reveals a number of possible sequences of spontaneous phase transitions which involve various ordered and disordered phases. Moreover, the inter-sublattice exchange coupling is examined as to its role in the associated magnetization processes. It is concluded that relatively small changes in the sublattice magnetization are most likely to occur. These changes are usually accompanied by minor shifts in the critical temperatures. Induced first order transitions to disorder resulting from the inter-sublattice exchange are highly unlikely to take place.     

Superfluidity and magnetism in multicomponent ultracold fermions

We study the interplay between superfluidity and magnetism in a multicomponent gas of ultracold fermions. Ward-Takahashi identities constrain possible mean-field states describing order parameters for both pairing and magnetization. The structure of global phase diagrams arises from competition among these states as functions of anisotropies in chemical potential, density, or interactions. They exhibit first and second order phase transition as well as multicritical points, metastability regions, and phase separation. We comment on experimental signatures in ultracold atoms.     

最近邻弱交换相互作用对spin-1纳米管磁化强度的影响

利用有效场理论研究了纳米管上最近邻原子间弱交换相互作用对Blume-Capel模型磁化强度的影响,得到了系统格点的磁化强度与最近邻弱交换相互作用和晶场强度的关系。结果表明：最近邻弱交换相互作用和晶场强度等诸多因素相互竞争,使系统表现出丰富的磁学特性。正晶场促进系统的磁化强度,而负晶场对其有抑制作用;负晶场作用下,磁化强度基态饱和值小于1,且系统发生一级相变;不同位置的弱交换相互作用对系统的磁化强度影响程度不同。     

Coherent spin precession via photoinduced antiferromagnetic interactions in La0.67Ca0.33MnO3

Pronounced spin precessions are observed in a geometry with negligible canting of the magnetization in ferromagnetic La(0.67)Ca(0.33)MnO(3) thin films using the time-resolved magneto-optical Kerr effect. The precession amplitude monotonically decreases with increasing field, indicating that the coherent spin rotation may be triggered by a transient exchange field and not by demagnetization and/or anisotropy field modulation. We attribute the transient exchange field to emergent antiferromagnetic interactions due to charge transfer and modification of the kinetic energy of e(g) electrons under optical excitation.     

近邻相互作用对混合自旋Blume-Capel模型磁化强度的影响

利用有效场论研究了最近邻原子间的相互作用对纳米管晶格点磁化强度的影响。结果表明,最近邻交换相互作用和晶体场强度相互竞争,使系统表现出丰富的磁化特性。当负晶体场作用于系统时,系统发生一阶相变。当晶体场的参数和交换相互作用不同时,系统的磁化强度有显著差异。     

Equilibrium states and quasi-static magnetization switching of a multilayer structure

The equilibrium orientations of magnetic moments that correspond to various values and directions of the biasing field are found in a set of magnetic films with cubic crystalline anisotropy and uniaxial induced anisotropy. The films are coupled by exchange interaction of the antiferromagnetic type. Field intervals are established where noncollinear and bistability states causing orientational phase transitions and hysteresis exist. Ninety degree magnetization switching (per switching cycle) of the magnetic moments of the films, as well as an orientational phase transition of bifurcation character, is discovered. Hysteresis loops for 180° in-plane magnetization switching are constructed.     

应变作用下EuTiO3材料磁性的格林函数理论研究

基于自旋波和格林函数理论,研究了低温下二维应变诱导的EuTiO3在铁电四方相下的磁性性质,主要讨论了在铁电四方相下Eu离子在铁磁性和反铁磁性有序时系统沿不同高对称性方向的自旋波散射和磁化。我们发现施加外加应变不仅可改变晶格结构的对称性,还可以通过改变电子自旋之间的交换耦合作用,进而改变该材料的磁性散射和磁化等。     

应变作用下EuTiO_3材料磁性的格林函数理论研究

基于自旋波和格林函数理论,研究了低温下二维应变诱导的EuTiO_3在铁电四方相下的磁性性质,主要讨论了在铁电四方相下Eu离子在铁磁性和反铁磁性有序时系统沿不同高对称性方向的自旋波散射和磁化.我们发现施加外加应变不仅可改变晶格结构的对称性,还可以通过改变电子自旋之间的交换耦合作用,进而改变该材料的磁性散射和磁化等.     

A note on the field-induced phase transitions of dilute metamagnets

The magnetization processes and the magnetic-field-induced phase transitions of dilute two-sublattice and totally disordered metamagnets with mixed ferro- and antiferro-magnetic exchange interactions are discussed. It appears, in particular, that the minimum value of the tricritical concentration, at which a change of the phase transition from first to second order occurs, is identical to the critical concentration of magnetic atoms.     

Local electromigration model for crystal surfaces

The dynamics of crystal surfaces in the presence of electromigration is analyzed. From a phase field model with a migration force which depends on the local geometry, a step model with additional contributions is derived in the kinetic boundary conditions. These contributions trigger various surface instabilities, such as step meandering, bunching, and pairing on vicinal surfaces. Experiments are discussed.     

Decagonal quasiferromagnetic microstructure on the penrose tiling

The stable magnetization configurations of a ferromagnet on a quasiperiodic tiling have been derived theoretically. The magnetization configuration is investigated as a function of the ratio of the exchange to the dipolar energy. The exchange coupling is assumed to decrease exponentially with the distance between magnetic moments. It is demonstrated that for a weak exchange interaction the new structure, the quasiferromagnetic decagonal configuration, corresponds to the minimum of the free energy. The decagonal state represents a new class of frustrated systems where the degenerated ground state is aperiodic and consists of two parts: ordered decagon rings and disordered spin-glass-like phase inside the decagons.     

稀释晶场对spin-1和spin-1/2混合自旋纳米管中 Blume-Capel模型磁化强度的研究

利用有效场理论研究了纳米管上稀释晶场中混合自旋Blume-Capel模型格点的磁化强度,得到了系统格点的磁化强度与稀释晶场取值概率、外磁场和晶场的关系.结果表明:取值概率、外磁场、交换相互作用和晶场强度等诸多因素相互竞争,使系统表现出比恒定晶场作用的Blume-Capel模型更为丰富的磁学特性;外磁场能够增大系统格点的磁化强度,导致系统的二级相变消失;负晶场的作用使系统发生一级相变;稀释晶场会抑制系统的磁化强度,导致其基态饱和值小于1.