Compatibility of BCS pairing and the peierls distortion in two-band systems

The effect of the Peierls transition on superconductivity in a two-band system, where one of the bands is flat, is examined theoretically. We find that superconductivity appears at the background of the insulating phase (T_P >; T_c). At T_c > T_P only the superconducting transition is possible.     

Superconductivity and Peierls instability in coupled linear chain systems

We study the superconducting transition temperature (T_c) and the Peierls instability temperature (T_p) using Eliashberg type equations for both T_c and T_p self consistently with finite interchain coupling. We show that T_c > T_p below a critical electron-phonon coupling constant which depends on the bare phonon frequency. This determines an upper bound on T_c so that for higher transition temperatures T_p > T_c and superconductivity is unlikely. Higher values of T_c are possible if the interchain coupling is increased above a critical value where the Peierls instability is suppressed.     

Quantum entanglement and pairing correlation in the reduced BCS pairing model

Using the particle-hole version of the density-matrix renormalization-group technique, the pairing correlation and the quantum entanglement of the reduced BCS pairing model are investigated. Both of them behave smoothly from the weak to the strong coupling regimes. A convergence radius (∼1/ln Ω) of condensation energy is detected by the first order derivative of the block-block entanglement. Furthermore, the block-block entanglement in the strong coupling regime shows distinct size dependence, and a logarithmic volume law is suggested numerically.     

Correlation length of the Peierls distortion

A Peierls distortion incommensurate with the lattice constant is considered in the Fröhlich model of a linear conductor. A prediction for the correlation length of the distortion is obtained using a Ginzburg-Landau expansion of the free energy for temperatures well belowT _p , the mean field Peierls transition temperature. The correlation length is found to be strongly increasing at aboutT _p /4.     

Peierls distortion in alloys of quasi-one-dimensional conductors

We have calculated the value of the mean field Peierls transition temperature in a quasi-one-dimensional binary A-B alloy as a function of the relative concentration. This was done in the framework of the single-dimer coherent potential approximation. Reductions in the transition temperature are predicted for isoelectronic constituants.     

BCS and BEC p-wave pairing in Bose-Fermi gases

The pairing of fermionic atoms in a mixture of atomic fermion and boson gases at zero temperature is investigated. The attractive interaction between fermions, that can be induced by density fluctuations of the bosonic background, can give rise to a superfluid phase in the Fermi component of the mixture. The atoms of both species are assumed to be in only one internal state, so that the pairing of fermions is effective only in odd-l channels. No assumption about the value of the ratio between the Fermi velocity and the sound velocity in the Bose gas is made in the derivation of the energy gap equation. The gap equation is solved without any particular ansatz for the pairing field or the effective interaction. The p-wave superfluidity is studied in detail. By increasing the strength and/or decreasing the range of the effective interaction a transition of the fermion pairing regime, from the Bardeen-Cooper-Schrieffer state to a system of tightly bound couples can be realized. These composite bosons behave as a weakly-interacting Bose-Einstein condensate.     

Peierls distortion and electronic bands in phosphorus allotropes

A small difference between the rhombohedral phosphorus lattice (A-7 phase) and the simple cubic phase, as well as between phosphorene and the cubic structure, is used in order to construct their quasiparticle band dispersion. We exploit the Peierls idea of the Brillouin zone doubling/folding, which has been previously employed in consideration of semimetals of the V period and IV–VI semiconductors. In a common framework, individual properties of phosphorus allotropes are revealed.     

Synchronization in the BCS pairing dynamics as a critical phenomenon

Fermi gas with time-dependent pairing interaction hosts several different dynamical states. Coupling between the collective BCS pairing mode and individual Cooper pair states can make the latter either synchronize or dephase. We describe transition from phase-locked undamped oscillations to Landau-damped dephased oscillations in the collisionless, dissipationless regime as a function of coupling strength. In the dephased regime, we find a second transition at which the long-time asymptotic pairing amplitude vanishes. Using a combination of numerical and analytical methods we establish a continuous (type II) character of both transitions.     

An exact limit for the Peierls distortion energy in an antiferromagnetic chain by means of a renormalization procedure

A renormalization procedure gives a rigorous upper bound for the ground-state energy per spin for a Peierls-distorted antiferromagnetic chain with Heisenberg interaction.     

Higher order Peierls distortion of one-dimensional carbon skeletons

In some one-dimensional chains with metallic band structures the energetically most advantageous distortion opens an energy gap non-linear in the distortion. The absence of a linear Peierls effect is due to the symmetry of the degenerate pair of orbitals at the Fermi level: they do not interact directly in the distorted system. The effect provides a natural bridging of the one-dimensional polyacetylene (linearly Peierls-distorted) to the two-dimensional graphite (not distorted) carbon skeletons. The simple explanation bears some generality.     

Ground state correlations in the BCS treatment of a monopole pairing Hamiltonian

The treatment of a monopole pairing Hamiltonian, in the quasiparticle basis and with the inclusion of ground state correlations, is discussed. The theoretical procedure is based on the BCS method supplemented by a variational treatment of ground state correlations. A significant improvement in the results is found, for ground state energies, when the comparison between correlated, BCS and exact values is performed. Results are discussed for one and two level model configurations.     

Collective Rabi oscillations and solitons in a time-dependent BCS pairing problem

Motivated by recent efforts to achieve cold fermions pairing, we study the nonadiabatic regime of the Bardeen-Cooper-Schrieffer state formation. After the interaction is turned on, at times shorter than the quasiparticle energy relaxation time, the system oscillates between the superfluid and normal state. The collective nonlinear evolution of the BCS-Bogoliubov amplitudes u(p), v(p), along with the pairing function Delta, is shown to be an integrable dynamical problem which admits single soliton and soliton train solitons. We interpret the collective oscillations as Bloch precession of Anderson pseudospins, where each soliton causes a pseudospin 2pi Rabi rotation.     

Instanton in disordered Peierls systems

We study disordered Peierls systems described by the fluctuating gap model. We show that the typical electron states with energies lying deep inside the pseudogap are localized near large disorder fluctuations (instantons), which have the form of a soliton-antisoliton pair. Using the “saddle-point” method we obtain the average density of states and the average optical absorption coefficient at small energy.     

Stable monolayer of the RuO2 structure by the Peierls distortion

In this paper, we presented a stable two-dimensional ruthenium dioxide monolayer by using first-principles calculations within density functional theory. In contrast to ordinary hexagonal and octahedral structures of metal dichalcogenides, RuO₂ is stable in the distorted phase of the structure as a result of occurring charge density wave. A comprehensive analysis including the calculation of vibration frequencies, mechanical properties, and ab initio molecular dynamics at 300?K affirms that RuO₂ monolayer structure is stable dynamically and thermally and convenient for applications at room temperature. We also investigated the electronic and optical properties of RuO₂ and it is found that RuO₂ has of 0.74?eV band gap which is in the infrared region and very suitable for infrared detectors.     

An effect of the Peierls lattice distortion on the impurity distribution

Unlike most of the previous investigations devoted to the effect of a random distribution of nonmagnetic impurities on the Peierls distortion, we study here a converse effect, that of a 2k_F-distortion (k_F - Fermi wavevector) of the impurity distribution arising as a result of the Peierls distortion of the host lattice. An enhancement of both the electronic gap and phason effective mass is obtained. The conditions for the occurence of the aforementioned distortion are also discussed.     

Localization lengths in disordered Peierls systems

We have studied the influence of bond- and site-type impurities on the ground state properties of one-dimensional Peierls systems. Using a functional integral formalism with both commuting and anticommuting variables we have calculated the averaged Green's function which determines the electronic density of states and localization length (Thouless formula). Some limiting cases can be solved analytically. To apply our model to doped polymers we derive the connection between doping concentration and disorder strengths D_j. For illustration we present the results with parameters appropriate for polyacetylene.