Spin and charge order around vortices and impurities in high-T(c) superconductors

A comparative study is made for the spin and charge structure around superconducting vortices and unitary impurities, by solving self-consistently an effective Hamiltonian including interactions for both antiferromagnetic spin-density wave (SDW) and d-wave superconducting orderings. Around vortices, we show the induction of an SDW two-dimensionally modulated with a period of eight lattice constants (8a(0)) and an associated charge-density wave (CDW) with a period of 4a(0), which explains very well recent experimental observations. In the case of unitary impurities, an SDW modulation with identical periodicity, but without an associated CDW, is also predicted.     

The CDW transition in quasi-one-dimensional organic polymer ferromagnets: effects of next-nearest neighbor hopping interactions

The next-nearest neighbor hopping interactions of π-electrons in quasi-one-dimensional organic polymer ferromagnets are considered. Within the mean-field theory and allowing for full lattice relaxation, a set of self-consistent equations is established to study the system. It is found that with increasing of the next-nearest neighbor interaction a charge-density-wave (CDW) transition will happen. At the CDW state, a strong charge density distribution along the main chain will appear, and the spin density-wave (SDW) along the main chian will be tuned by the CDW. Consequently the ferromagnetic state, in which all the spins of the unpaired electrons at side freeradicals are arranged parallely, will be no longer the stable ground state of the system.     

The CDW transition in quasi-one-dimensional organic polymer ferromagnets: effects of next-nearest neighbor hopping interactions

The next-nearest neighbor hopping interactions of π-electrons in quasi-one-dimensional organic polymer ferromagnets are considered. Within the mean-field theory and allowing for full lattice relaxation, a set of self-consistent equations is established to study the system. It is found that with increasing of the next-nearest neighbor interaction a charge-density-wave (CDW) transition will happen. At the CDW state, a strong charge density distribution along the main chain will appear, and the spin density-wave (SDW) along the main chian will be tuned by the CDW. Consequently the ferromagnetic state, in which all the spins of the unpaired electrons at side freeradicals are arranged parallely, will be no longer the stable ground state of the system.     

Dephasing of Andreev pairs entering a charge density wave

A Cooper pair from a s-wave superconductor (S) entering a conventional charge density wave (CDW) below the Peierls gap dephases on the Fermi wavelength while one particle states are localized on the CDW coherence length ξ_CDW. It is thus practically impossible to observe a Josephson current through a CDW. The paths following different sequences of impurities interfere destructively, due to the different electron and hole densities in the CDW. The same conclusion holds for averaging over the conduction channels in the ballistic system. We apply two microscopic approaches to this phenomenon: (i) a Blonder, Tinkham, Klapwijk (BTK) approach for a single highly transparent S-CDW interface; and (ii) the Hamiltonian approach for the Josephson effect in a clean CDW and a CDW with non magnetic disorder. The Josephson effect through a spin density wave (SDW) is limited by the coherence length ξ_SDW, not by the Fermi wave-length. A Josephson current through a SDW might be observed in a structure with contacts on a SDW separated by a distance ξ_SDW.     

Electronic properties of quasi-one-dimensional compounds with a charge/spin-density wave ground state

First, a review of the general properties of the collective transport induced by the charge (CDW)/spin (SDW) density wave motion in quasi-one-dimensional conductors is presented. Then the three recent developments in this field are emphasized, namely: high spatial resolution x-ray study of the field-induced CDW deformations; quantum interference effects in magnetotransport of a sliding CDW through columnar defects; manifestation of disorder in the CDW/SDW ground state in thermodynamic properties at very low temperatures. Fiz. Tverd. Tela (St. Petersburg) 41, 759–763 (May 1999) Published in English in the original Russian journal. Reproduced here with stylistic changes by the Translation Editor.     

Competition Between the SDW and CDW in Quasi-One-Dimensional Organic Polymer Ferromagnet

The next-nearest-neighbor hopping interactions of ρ-electrons in quasi-onedimensional organic polymer ferromagnet are considered by Peierls-Hubbard model, and a set of self-consistent equations are established to optimize the system. The competition between the SDW and CDW states, which is determined by the interplay between the electron-electron correlation and the next-nearest-neighbor hopping interaction, is studied. At the CDW state,the SDW along the main chain will be tuned by the CDW. Consequently the ferromagnetic state, in which all the spins of the unpaired electrons at side freeradicals are arranged parallelly,will be no longer a stable ground state of the system.     

The competition between CDW and SDW in quasi-one-dimensional organic magnetic polymer with interchain coupling interaction

Based on a theoretical model proposed for interchain-coupled quasi-one-dimensional organic magnetic polymer, the effects of the interchain couplings and electron–electron interactions on the charge density wave (CDW) and spin density wave (SDW) that exist in the system are studied. It is found that the amplitude of the SDW along the main chain will decrease with increasing of the oscillatory term of the interchain couplings in the system, which is unfavorable to the ferromagnetic ground state of the system. Moreover, with different interchain couplings, there will all exist a critical value of the inter-site electron–electron Coulomb repulsion, and at this value, the system will experience a transformation from strong SDW state to strong CDW one, which will weaken the mediating function of the antiferromagnetic SDW along the main chain. As a result, the ferromagnetic correlation intensity between the spins of the side radicals will be affected and consequently the stability of the ferromagnetic state in the system will be weakened.     

Theory for Difference Between Photoinduced Phase and Thermally Excited Phase

A possible difference between the photoinduced phase and the thermally excited one is studied by using a two-dimensional extended Peierls-Hubbard model, which includes a strong electron-phonon coupling and a on-site interelectron repulsion, as well as an anharmonic lattice potential. Because of this anharmonicity, the system undergoes a first order phase transition from an insulating CDW state to a metallic one at a high temperature. Although some sign of an SDW order is expected to appear due to this repulsion, it is always hidden in any equilibrium phase of the present system. In fact, it is hidden, not only in the CDW ground state, but also in this metallic one, since the high temperature itself destroys the SDW order, far before the CDW-metal transition occurs, while a photo-excitation at low enough temperature is shown to generate a local metastable SDW domain. Therefore, to observe the presence of such Coulomb interaction and the resultant broken symmetry, a nonequilibrium photoinduced phase is shown to be most straightforward. Thus, the photoinduce phase transition can make an interaction appear as a broken symmetry only in this phase, even though this interaction is almost completely hidden in all the equilibrium phases from low temperature to high ones.     

Collective quantum tunneling of strongly correlated electrons in commensurate mesoscopic rings

We present a new effect that is possible for strongly correlated electrons in commensurate mesoscopic rings: the collective tunneling of electrons between classically equivalent configurations, corresponding to ordered states possessing charge and spin density waves (CDW, SDW) and charge separation (CS). Within an extended Hubbard model at half filling studied by exact numerical diagonalization, we demonstrate that the ground state phase diagram comprises, besides conventional critical lines separating states characterized by different orderings (e.g. CDW, SDW, CS), critical lines separating phases with the same ordering (e.g. CDW-CDW) but with different symmetries. While the former also exist in infinite systems, the latter are specific for mesoscopic systems and directly related to a collective tunnel effect. We emphasize that, in order to construct correctly a phase diagram for mesoscopic rings, the examination of CDW, SDW and CS correlation functions alone is not sufficient, and one should also consider the symmetry of the wave function that cannot be broken. We present examples demonstrating that the jumps in relevant physical properties at the conventional and new critical lines are of comparable magnitude. These transitions could be studied experimentally e.g. by optical absorption in mesoscopic systems. Possible candidates are cyclic molecules and ring-like nanostructures of quantum dots. Received 27 November 2000     

Microscopic theory of longitudinal sound velocity in CDW and SDW ordered cuprate systems

We address here the self-consistent calculation of the spin density wave and the charge density wave gap parameters for high-T_c cuprates on the basis of the Hubbard model. In order to describe the experimental observations for the velocity of sound, we consider the phonon coupling to the conduction band in the harmonic approximation and then the expression for the temperature dependent velocity of sound is calculated from the real part of the phonon Green’s function. The effects of the electron–phonon coupling, the frequency of the sound wave, the hole doping concentration, the CDW coupling and the SDW coupling parameters on the sound velocity are investigated in the pure CDW phase as well as in the co-existence phase of the CDW and SDW states. The results are discussed to explain the experimental observations.     

Spin density wave and ferromagnetism in a quasi-one-dimensional organic polymer

The spin density wave(SDW) — charge density wave(CDW) phase transition and the magnetic properties in a half-filled quasi-one-dimensional organic polymer are investigated by the world line Monte Carlo simulations. The itinerant π electrons moving along the polymer chain are coupled radically to localized unpaired d electrons, which are situated at every other site of the polymer chain. The results show that both ferromagnetic and anti-ferromagnetic radical couplings enhance the SDW phase and the ferromagnet order of the radical spins, but suppress the CDW phase. By finite size scaling, we are able to obtain the phase transition line in the parameter space. The ferromagnetic order of the radical spins are observed to coexist with the SDW phase. As compared to the system being free of the radical coupling, the phase transition line is shifted upward in the U-V parameter space in favor of larger V, where U is the on-site repulsion and V is the nearest-neighbor interaction between the π electrons. All of these findings can be understood qualitatively by a second-order perturbation theory starting from the classical state at zero temperature in the strong coupling limit. We also address the consequences of the radical coupling for the persistent current if the polymer chain is fabricated as a mesoscopic ring.     

Theoretical studies on the proton and electron transfer (PET) in a pseudo one-dimensional hydrogen bonded network system

We investigated singly ordered phases of the charge density were (CDW), spin density wave (SDW), and singlet superconductivity (SSC) for a pseudo one-dimensional proton and electron transfer (PET) system of quinhydrone crystal by means of the two band model. We performed band structure calculations of model systems, which are (i) the quinone and the p-hydroquinone model and (ii) two semiquinones model. We found that the model (i) exhibits an insulator and the model (ii) exhibits the SDW insulator.     

Coexistence of CDW phase and SDW phase

The coexistence of charge density wave (CDW) and spin density wave (SDW) phases is studied by introducing a singlet coupling in the Rice model as well as the Shibatani-Motizuki-Nagamiya (SMN) model. The conditions of the coexistence, and the other parameters are derived for T = 0 K. It is found that the coexistent phase is unrealizable in pure chromium.     

Properties of low-Dimensional metals at high pressure

Abstract

Low dimensional metals, in which the conduction electrons are confined to stacks or within layers, provide an important area of research into interactions in the electron gas and its coupling to the lattice. The metallic state is commonly unstable at low temperatures, and can be replaced by a wide variety of ground states, including the charge density wave (CDW) state, spin density wave (SDW) state, superconductivity etc. High pressure has always been an important experimental tool in this field, as many of the materials studied have high compressibilities, and it is often possible to switch from one ground state to another under pressure. We consider here the properties under pressure of a series of organo-metallic charge transfer salts in which the metallic behaviour is due to intermolecular delocalisation of the π electron systems of the ligand groups around the transition metal atom.     

Quantum phase transition and von Neumann entropy of quasiperiodic Hubbard chains

The half-filled Hubbard chains with the Fibonacci and Harper modulating site potentials are studied in a selfconsistent mean-field approximation. A new order parameter is introduced to describe a charge density order. We also calculate the von Neumann entropy of the ground state. The results show that the von Neumann entropy can identify a CDW/SDW （charge density wave/spin density wave） transition for quasiperiodic models.     

Phase Diagram of One-Dimensional Fermi Gas Model

The phase diagrams of one-dimensional g-ology model are studied. The known results of the XXZ spin 1/2 chain model are applied to extending the solutions to the massless range where the method of Gaussian wave functional is insufficient. The response functions of CDW, SDW, SS and TS are computed as temperature T→0.     

Spin- and charge-density-wave orders in La1.87Sr0.13Cu0.99Fe0.01O4

We have performed elastic neutron-scattering measurements on La_1.87Sr_0.13Cu_0.99Fe_0.01O₄ to study the magnetic impurity effects on the stripe correlations in high-T_c cuprates. Both charge-density-wave (CDW) and spin-density-wave (SDW) orders are observed in the low-temperature-orthorhombic (LTO) phase for the first time. With decreasing the temperature, CDW order first appears at followed by the SDW order at lower temperature of . The incommensurability for the CDW order (ε) was found to be 0.224±0.002 r.l.u., which is approximately twice of that for SDW order (δ) of 0.115±0.003 r.l.u. Both ordering sequence and relation of ε≈2δ are the same for SDW and CDW orders observed in the low-temperature-tetragonal (LTT) phase of La_1.60-xNd_0.4Sr_xCuO₄ (LNSCO), suggesting that the similar stripe correlations exist in the cuprate oxides, irrespective of crystal structure.     

Theory of coexistence between change-density-waves,spin-density-waves and ferromagnetism

The coexistence between Charge-Density-Waves (CDW), Spin-Density-Waves (SDW) and ferromagnetic order has been analyzed in a one-band model with a spin-dependent interelectronic interaction. The phase diagram at T=0 and T≠10 has been obtained. The influence of the external magnetic field has been analyzed.     

The phase diagram of charge- and spin-density waves in polymeric C60

\chem{(C_{60})_{\chemindex{x}}} at interfullerene distances larger than . At smaller ball separation, a special charge-density-wave ground state occurs, which exhibits polarized spheres. At around experimental bond distances, both CDW and SDW are present with rather small amplitudes. Received: 13 September 1996/Accepted: 11 November 1996     

Phase diagram of the one-dimensional extended Hubbard model at half filling

We reexamine the ground-state phase diagram of the one-dimensional half-filled Hubbard model with on-site and nearest-neighbor repulsive interactions. We calculate second-order corrections to coupling constants in the weak-coupling renormalization-group approach ( g-ology) to show that the bond-charge-density-wave (BCDW) phase exists for weak couplings in between the charge-density-wave (CDW) and spin-density-wave (SDW) phases. We find that the umklapp scattering of parallel-spin electrons destabilizes the BCDW state and gives rise to a bicritical point where the CDW-BCDW and SDW-BCDW continuous-transition lines merge into the CDW-SDW first-order transition line.