Spin-symmetric solution of an interacting quantum dot attached to superconducting leads: Andreev states and the 0-<Emphasis Type="Italic">π</Emphasis> transition

Behavior of Andreev gap states in a quantum dot with Coulomb repulsion symmetricallyattached to superconducting leads is studied via the perturbation expansion in theinteraction strength. We find the exact asymptotic form of the spin-symmetric solution forthe Andreev states continuously approaching the Fermi level. We thereby derive a criticalinteraction at which the Andreev states at zero temperature merge at the Fermi energy,being the upper bound for the 0-π transition. We show that the spin-symmetricsolution becomes degenerate beyond this interaction, in the π phase, and the Andreevstates do not split unless the degeneracy is lifted. We further demonstrate that thedegeneracy of the spin-symmetric state extends also into the 0 phase in which the solutions with zero andnon-zero frequencies of the Andreev states may coexist.     

Spin-dependent Kondo effect induced by Rashba spin-orbit interaction in parallel coupled double quantum dots

Electronic transport through parallel coupled double quantum dots (DQD) with Rashba spin-orbit (RSO) interaction is investigated in Kondo regime by means of the slave-boson mean field approximation at zero temperature. By the co-action of the phase factor deduced by RSO interaction and the magnetic flux penetrating the parallel DQD, an interesting spin-dependent Kondo effect emerges. The molecular state representation theory is used to obtain a detailed understanding of the spin-dependent Kondo effect. It is shown that Quantum interference between the bonding Kondo state and antibonding state, which is modulated by the RSO interaction, plays a crucial role to the density of states and the linear conductance. The magnitude of each spin component conductance can be modulated by the RSO interaction strength. The conductance of each spin component exhibits 4π-periodic function with respect to φR. Moreover, the swap operation in the parallel DQD system can be implemented by tuning the RSO interaction.     

Study of magnetic properties of Pd<Subscript>1−<Emphasis Type="Italic">x</Emphasis></Subscript>Fe<Subscript><Emphasis Type="Italic">x</Emphasis></Subscript>)<Subscript>0.95</Subscript>Mn<Subscript>0.05</Subscript> alloy using polarized muons and neutrons

The Pd_1?x Fe _x )_0.95Mn_0.05 alloy with random competing interaction was studied by measuring the muon spin relaxation in an external transverse magnetic field and in a zero magnetic field. Using the measured temperature dependence of the dynamic relaxation rate λ and the characteristics of the distribution of local static fields, the phase states of the sample under study are refined. In particular, it is shown that the ferromagnetic and spin-glass states coexist simultaneously in the sample below 25 K. Combined studies of the sample using the μSR and neutron depolarization methods made it possible to determine the size of magnetic inhomogeneities to be 2–6 μm in the temperature range 5–40 K.     

Density of states of two interacting holes in a solid

If two holes are suddenly created in the same band and at the same atomic site e.g. by an Auger process in a solid, their density of states N(ω) will depend on their Coulomb interaction. In a tight binding model, we present the exact N(ω), in the limit of zero bandwidth. In the case of a general band, we give an exact integral equation that allows calculating N(ω) once the single electron density of states is known. The interaction is shown to produce a characteristic distortion of N(ω) and hence of the Auger spectrum.     

Ergodicity Breaking and Localization of the Nicolai Supersymmetric Fermion Lattice Model

We investigate dynamics of a supersymmetric fermion lattice model introduced by Nicolai (J Phys A 9:1497–1505, 1976). We show that the Nicolai model has infinitely many local constants of motion for its Heisenberg time evolution, and therefore ergodicity (with respect to thermal equilibrium states) breaks. It has infinitely many degenerated classical ground states. This phenomena is considered as localization at zero temperature. From a viewpoint of perturbation theory, we explain why delocalization is suppressed at zero temperature despite its disorder-free translation-invariant quantum interaction.     

Thermal behaviour of the planar spin chain with competing interactions up to third neighbours

The 1D classical planar model with competing interactions up to third neighbours is exactly studied at finite temperature by the transfer matrix method. The third neighbour interaction enters first an second order phase transition and full frustration lines at zero temperature. In particular, we have studied the static structure factorS(q) to understand the finite temperature short range order (SRO). This results strictly related to the zero temperature long range order (LRO) and coexistence of SRO configurations in the neighborhood of the zero temperature first order transition lines is clearly demonstrated. We have also found the signal of the full frustration of our model in a two equal weight peaks profile ofS(q) in the neighborhood of the ferro-antiferromagnetic boundary on which the chain breaks itself at zero temperature in two ferromagnetic sublattices the angle in between being arbitrary.     

Optical properties of BiTeI semiconductor with a strong Rashba spin-orbit interaction

We have modeled the 4f ¹-5d ¹ absorption spectrum of a LiYF₄:Ce³⁺ crystal at zero temperature using a microscopic model of the electron-phonon interaction and the real spectrum of LiYF₄ lattice vibrations. Effects caused by mixing of the wave functions of different states of the 5d ¹ excited configuration of the Ce³⁺ ion, which is induced by the electron-phonon interaction, are considered based on the calculations of the second-, third-, and fourth-order exact moments of curvature of the spectrum envelope. We have shown that the large value of the splitting between the maxima of the bands in the absorption spectrum that correspond to transitions to the third and fourth 5d ¹ levels is a result of the nonadiabatic interaction of 5d electrons with lattice vibrations.     

Thermoelectric properties of correlated double quantum dot system in Coulomb blockade regime

We theoretically study thermoelectric properties of a coupled double quantum dot (DQD) system coupled to normal leads using two impurity Anderson model with intra- as well as interdot Coulomb interactions. A generic formulation, which was earlier developed to study electronic properties (zero bias maximum of differential conductance and interesting partial swapping in Fano phenomena) of DQD system within Coulomb blockade regime for a non-magnetic case, is extended to investigate thermoelectric properties i.e. electrical conductance, thermoelectric power and thermal conductance of the same system, as a function of temperature by varying interdot Coulomb interaction and interdot tunneling. Interdot Coulomb interaction is found to trigger some novel features like crossover in thermoelectric power with temperature in all the configurations (series, parallel and T-shape) and a small peak in thermal conductance toward low temperatures, T≈Γ/10, in series and T-shape configurations, which is found to be missing in case of symmetric parallel configuration. The origin of these novel features is attributed to the interplay of renormalization of energy levels caused by the interdot Coulomb interaction which is interpreted in terms of local density of states and the asymmetry effects related to dot-lead couplings/interference effects.     

Charge transport in a spin-polarized 2D electron system in silicon

The temperature dependences of the conductivity σ(T) of a strongly interacting 2D electron system in silicon have been analyzed both in zero magnetic field and in a spin-polarizing magnetic field of 14.2 T that is parallel to the sample plane. The measurements were carried out in a wide temperature range of 1.4–9 K in the ballistic regime of electron-electron interaction, i.e., for Tτ > 1. In zero magnetic field, the data obtained for σ(T) are quantitatively described by the theory of interaction corrections. In the fully spin-polarized state, the measured σ(T) dependences are not linear and even nonmonotonic in the same temperature range, where the dependences σ(T) are monotonic in the absence of the field. Nevertheless, the low-temperature parts of the experimental σ(T) dependences are linear and qualitatively consistent with the calculated quantum corrections.     

Thermal Entanglement Properties in two Kinds of Two-qubit Spin Squeezing Model

Using the concurrence (C) criterion, we investigate the thermal entanglement properties in two-qubit spin squeezing model for two kinds of squeezing interaction: one-axis twisting model (OATM) and two-axis countertwisting model (TACM) with a transverse field. To the OATM, in the limit case of T→0, the ground state entanglement is initially increased from zero to the maximum value, then decreased in a period of time and suddenly disappeared finally with further enhancing the external magnetic field Ω. One interesting thing is that instead of decaying slowly to zero the entanglement is sudden disappeared with further enhancing Ω or μ (the spin squeezing interaction in X direction), and decreasing the parameter μ or Ω can obviously broaden the scope of entanglement exists. For the finite temperature case, a novelty point is the sudden birth phenomenon occured in the behaviors of entanglement, it is initially to be zero (persists for some time), with further improving Ω and μ the entanglement will be suddenly appeared, and the time interval (persists to be zero) before sudden birth is obviously prolonged with decreasing two parameters. The temperature range of entanglement exists can be extended evidently with increasing μ or Ω, and one can obtain entanglement at higher temperature through changing them. When to the TACM, the ground state entanglement is initially decreased from the maximum value and then suddenly disappeared with increasing Ω. While increasing γ the ground state entanglement is increased initially from zero to the maximum value and then sudden disappeared with further improving γ (the spin squeezing interaction in XY plane), proper tuing γ or Ω can prolong the lives of entanglement evidently. For the finite temperature case, the sudden birth phenomenon also occured in the the evoluted concurrence, the variation of parameters Ω and γ can reduce the time interval before sudden birth. The influence of the temperature T on thermal entanglement property is also investigated. The temperature range of entanglement existence can be extended evidently with increasing γ, one can obtain entanglement at higher temperature through changing parameters γ and Ω.     

Robustness of Greenberger-Horne-Zeilinger and W states for teleportation in external environments

By solving analytically a master equation in the Lindblad form, we study quantum teleportation of the one-qubit state under the influence of different surrounding environments, and compared the robustness between Greenberger-Horne-Zeilinger (GHZ) and W states in terms of their teleportation capacity. The results revealed that when subject to zero temperature environment, the GHZ state is always more robust than the W state, while the reverse situation occurs when the channel is subject to infinite temperature or dephasing environment.     

Density of states of a strongly correlated quantum dot coupled to Luttinger liquid leads

We theoretically investigate the density of states (DOS) of a quantum dot weakly coupled to Luttinger liquid (LL) leads in the Kondo regime by use of the equation-of-motion technique of the nonequilibrium Green functions. At zero temperature, the Kondo peak in DOS is suppressed by the intralead interaction. When the LL interaction parameter K   is about 0.77, a moderately strong interaction, the Kondo peak disappears and then a dip develops, a signature of the intermediate two-channel Kondo (2CK) physics. This shows that the condition for the 2CK to occur ever addressed is not necessary. Applying a finite voltage bias splits the dip in the DOS. Each split dip is located at the chemical potential of a LL lead. This again appears the stabilized 2CK physics for moderately strong interaction K<1$K<1$.     

Quantum phase transition in the anisotropic one-dimensional XY model with long-range interactions

In this paper we study the one-dimensional XY model with single ion anisotropy and long-range interaction that decay as a power law. The model has a quantum phase transition, at zero temperature, at a critical value D_c of the anisotropy parameter D. For values of D below D_c we use a self-consistent harmonic approximation. We have found that the critical temperature increases with D for small values of this parameter. For values of D above D_c we use the bond operator technique and calculate the gap as a function of D, at zero temperature.     

Reverse resistance anomaly in (La,Gd)Al2

We report resistivity measurements performed between 0.4 K and 10 K, in magnetic fields, 0≦B≦5T, on (La_1?x Gd _x )Al₂ alloys with 0.23 at%≦x≦2 at %. In zero field, the incremental resistivityρ _i due to the Gd atoms increases approximately as ln(T/1 K). The anomalous temperature dependence ofρ _i wich is the “reverse” of the Kondo effect is theoretically expected since the conduction electron-impurity exchange interaction is ferromagnetic. Using our data of the magnetoresistivity, a semiquantitative analysis of the zero field results can be made. Comparison with other physical quantities, e.g. EPR andT _c depression, taken from the literature, allows us to determine (i) the Heisenberg exchange integral which agrees with that one estimated from the spin glass properties of (La, Gd)Al₂ and (ii) the local density of states at the Gd site.     

Temperature independence of the Hall-constant of the strong coupling amorphous metals Bi,Ga and Pb

The amorphous metals Bi, Ga and Pb have a strong electron-phonon interaction which enhances the bare density of states by a factor of about 3. The enhancement decreases between zero and 20 K by about 30 per cent. The temperature dependence of the Hall-constant in this temperature region is measured with an accuracy of about 10^?3. The Hall-constant is temperature independent within this accuracy. Therefore the temperature dependence of the electron-phonon enhancement does not affect the Hall-constant.     

Phase damping destroys quantum Fisher information of W states

We study the quantum Fisher information (QFI) of W states in the basic decoherence channels. We show that, as decoherence starts and increases, under i) depolarizing, QFI smoothly decays; ii) amplitude damping, QFI first exhibits a sudden drop to the shot noise level, then decreases to zero and finally increases back to the shot noise level; iii) phase damping, QFI is zero for all non-zero decoherence. We also find that on the contrary to GHZ states, QFI of W states in x and y directions are equal to each other and zero in z direction.     

Electronic structure and spin fluctuations in the helical ferromagnet MnSi

The influence of spin fluctuations on the magnetic properties of the ferromagnetic helimagnet MnSi has been studied in the Hubbard model taking into account the antisymmetric relativistic Dzyaloshinskii–Moriya interaction for band electrons. The obtained equations of the magnetic state indicate the correlation between the fine structure of the density of electronic states and the magnetization and coefficient of mode–mode coupling. It has been shown that the position of the Fermi energy in the immediate proximity on the point of the local minimum of the density of electronic states leads to large zero spin fluctuations at low magnetization of the helimagnet. When approaching from down the Néel point (approximately, at 0.9T_N), the zero fluctuation disappear, and the temperature rise of thermal spin fluctuation is accompanied by the change in the sign of the coefficient of mode–mode coupling. A magnetic field perpendicular to the helicoids plane brings about the formation and subsequent “collapse” of the helimagnetic cone. However, the condition of the change in the sign of the coefficient of mode–mode coupling divides the MnSi phase diagram into two parts, one of which corresponds to the ferromagnetic state induced by the field, and the other corresponding to the paramagnetic state. In this case, the h–T diagram has a specific region, inside which the paramagnetic and the ferromagnetic state are instable. The boundaries of the region agree with the experimental data on the boundaries of the anomalous phase (a phase). It has been found that the results of calculations of the temperature dependence of the magnetic susceptibility agree with the experimental data.     

Elastic interaction between adatoms near a distortive phase transition

The indirect elastic interaction between two adatoms on substrates with a very small shear modulus such as V₃Si and Nb₃Sn near the transformation temperature T_M is calculated. As the temperature decreases towards T_M, the shear moduli of these materials go to zero, and the strength of the interaction increases dramatically. The interaction is strongly attractive if the adatoms are aligned along a cube axis and repulsive if they are at 45° to the axis.     

The ground state and its entropy for a class of one-dimensional classical lattice systems

We calculate explicitly the zero-temperature limit of the finite temperature equilibrium state and its entropy for a class of one-dimensional Ising models with an interaction of range n. For that purpose we extend the usual transfer matrix method to ground states. The interaction consists of a ferromagnetic nearest neighbour term and a competing antiferromagnetic interaction with the nth neighbour.