Searcharxiv⌕ Search

arXiv subjects

N. M. R. Peres

Publications and source records attributed to N. M. R. Peres.

At least 181 records · Page 10Linked to original sources

Spinflop transition in dopped antiferromagnets

In this paper we compute the mean field phase diagram of a doped antiferromagnet, in a magnetic field and with anisotropic exchange. We show that at zero temperature there is a metamagnetic transition from the antiferromagnetic configuration along the z direction to a spin-flop state. In the spin flop phase the system prefers a commensurate magnetic order, at low doping, whereas at larger doping the incommensurate phase is favorable. Contrary to the pure Heisenberg case, the spin flop region does not span an infinite area in the ('Delta',h) plane, where 'Delta' is the exchange anisotropy and h is the external magnetic field. We characterize the magnetic and charge-transport properties of the spin-flop phase, computing the magnetic susceptibility and the Drude weight. This latter quantity presents a sudden variation as the spin-flop to paramagnet phase transition line is crossed. This effect could be used as a possible source of large magneto-resistance. Our findings may have some relevance for doped La_{2-δ}Sr_δCuO_4 in a magnetic field.

cond-mat.str-el↗

Spin waves in La_2CuO_4: band structure and correlation effects

We calculate the antiferromagnetic spin wave dispersion in the half-filled (electronic density n=1) Hubbard model for a two-dimensional square lattice, using the random phase approximation (RPA) in a broken symmetry (spin density wave) ground state. Our results for the spin wave dispersion, ω(\vec q), are compared with high-resolution inelastic neutron scattering performed on La_2CuO$_4. The effects of different band structures and different values of the on-site Coulomb interaction on the spin wave spectrum is studied. Particular attention is put on the high energy dispersion values ω(π/2,π/2) and ω(0,π).

cond-mat.str-el↗

Magnetic and superconducting instabilities in the periodic Anderson model: an RPA stud

We study the magnetic and superconducting instabilities of the periodic Anderson model with infinite Coulomb repulsion U in the random phase approximation. The Neel temperature and the superconducting critical temperature are obtained as functions of electronic density (chemical pressure) and hybridization V (pressure). It is found that close to the region where the system exhibits magnetic order the critical temperature T_c is much smaller than the Neel temperature, in qualitative agreement with some T_N/T_c ratios found for some heavy-fermion materials. In our study, all the magnetic and superconducting physical behaviour of the system has its origin in the fluctuating boson fields implementing the infinite on-site Coulomb repulsion among the f-electrons.

cond-mat.str-el↗

Scaling Study of the Metal-Insulator Transition in one-Dimensional Fermion Systems

We consider the Ising phase of the antiferromagnetic XXZ Heisenberg chain on a finite-size lattice with N sites.We compute the large $N$ behavior of the spin stiffness, obtaining the correlation length ξ. We use our results to discuss the scaling behavior of metal-insulator transitions in 1D systems, taking into account the mapping between the XXZ Heisenberg chain and the spinless fermion model and known results for the Hubbard model. We study the scaling properties of both the Hubbard model and the XXZ Heisenberg chain, by solving numerically the Bethe Ansatz equations. We find that for some range of values of ξ/N the scaling behavior may be observed for the Hubbard model but not for the XXZ Heisenserg chain. We show how ξcan be obtained from the scaling properties of the spin stiffness for small system sizes. This method can be applied to models having not an exact solution, illuminating their transport properties.

cond-mat.str-el↗

Numerical and Monte Carlo Bethe ansatz method: 1D Heisenberg model

In this paper we present two new numerical methods for studying thermodynamic quantities of integrable models. As an example of the effectiveness of these two approaches, results from numerical solutions of all sets of Bethe ansatz equations, for small Heisenberg chains, and Monte Carlo simulations in quasi-momentum space, for a relatively larger chains, are presented. Our results agree with those obtained by thermodynamics Bethe ansatz (TBA) and Quantum Transfer Matrix (QTM).

cond-mat.str-el↗

Spin wave dispersion in La2CuO4

We calculate the antiferromagnetic spin wave dispersion in the half-filled Hubbard model for a two-dimensional square lattice and find it to be in excellent agreement with recent high-resolution inelastic neutron scattering performed on La2CuO4 [Phys. Rev. Lett. 86, 5377 (2001)].

cond-mat.str-el↗

Specific Heat of the Periodic Anderson Model: From Weak to Strong Coupling

We study the temperature dependence of the specific heat in the periodic Anderson model as function of the on-site Coulomb interaction, hybridization, and position of the f-electrons energy level. At strong coupling (U=infinity) we use slave bosons, whereas at weak coupling we use a simple Hartree-Fock decomposition. We find that both in the strong and weak coupling limits the specific heat of the system presents a multiple peak structure in a mean field treatment. We believe these features to be related to band-shape effects. The temperature evolution of the low-temperature peak position on the model parameters for the non-half filled non-symmetric case is discussed.

cond-mat.str-el↗

Local Moment Formation in the Periodic Anderson Model with Superconducting Correlations

We study local moment formation in the presence of superconducting correlations among the f-electrons in the periodic Anderson model. Local moments form if the Coulomb interaction U>U_cr. We find that U_cr is considerably stronger in the presence of superconducting correlations than in the non-superconducting system. Our study is done for various values of the f-level energy and electronic density. The smallest critical U_cr values occur for the case where the number of f- electrons per site is equal to one. In the presence of d-wave superconducting correlations we find that local moment formation presents a quantum phase transition as function of pressure. This quantum phase transition separates a region where local moments and d-wave superconductivity coexist from another region characterized by a superconducting ground state with no local moments. We discuss the possible relevance of these results to experimental studies of the competition between magnetic order and superconductivity in CeCu_2Si_2.

cond-mat.supr-con↗

Superconductivity in the SU(N) Anderson Lattice at U=\infty

We present a mean-field study of superconductivity in a generalized N-channel cubic Anderson lattice at U=\infty taking into account the effect of a nearest-neighbor attraction J. The condition U=\infty is implemented within the slave-boson formalism considering the slave bosons to be condensed. We consider the $f$-level occupancy ranging from the mixed valence regime to the Kondo limit and study the dependence of the critical temperature on the various model parameters for each of three possible Cooper pairing symmetries (extended s, d-wave and p-wave pairing) and find interesting crossovers. It is found that the d- and p- wave order parameters have, in general, very similar critical temperatures. The extended s-wave pairing seems to be relatively more stable for electronic densities per channel close to one and for large values of the superconducting interaction J.

cond-mat.supr-con↗

Finite-frequency optical absorption in 1D conductors and Mott-Hubbard insulators

The frequency-dependent conductivity is studied for the one-dimensional Hubbard model, using a selection rule, the Bethe ansatz, and symmetries associated with conservation laws. For densities where the system is metallic the absorption spectrum has two contributions, a Drude peak at $ω= 0$ separated by a pseudogap from a broad absorption band whose lower edge is characterized by a non-classical critical exponent. Our findings shed new light on the ``far infrared puzzle'' and other optical properties of metallic organic chain compounds.

cond-mat.str-el↗

Finite-Temperature Transport in Finite-Size Hubbard Rings in the Strong-Coupling Limit

We study the current, the curvature of levels, and the finite temperature charge stiffness, D(T,L), in the strongly correlated limit, U>>t, for Hubbard rings of L sites, with U the on-site Coulomb repulsion and t the hopping integral. Our study is done for finite-size systems and any band filling. Up to order t we derive our results following two independent approaches, namely, using the solution provided by the Bethe ansatz and the solution provided by an algebraic method, where the electronic operators are represented in a slave-fermion picture. We find that, in the U=\infty case, the finite-temperature charge stiffness is finite for electronic densities, n, smaller than one. These results are essencially those of spinless fermions in a lattice of size L, apart from small corrections coming from a statistical flux, due to the spin degrees of freedom. Up to order t, the Mott-Hubbard gap is Δ_{MH}=U-4t, and we find that D(T) is finite for n<1, but is zero at half-filling. This result comes from the effective flux felt by the holon excitations, which, due to the presence of doubly occupied sites, is renormalized to Φ^{eff}=ϕ(N_h-N_d)/(N_d+N_h), and which is zero at half-filling, with N_d and N_h being the number of doubly occupied and empty lattice sites, respectively. Further, for half-filling, the current transported by any eigenstate of the system is zero and, therefore, D(T) is also zero.

cond-mat.str-el↗

Curvature of Levels and Charge Stiffness of One-Dimensional Spinless Fermions

Combining the Bethe Ansatz with a functional deviation expansion and using an asymptotic expansion of the Bethe Ansatz equations, we compute the curvature of levels D_n at any filling for the one-dimensional lattice spinless fermion model. We use these results to study the finite temperature charge stiffness D(T). We find that the curvature of the levels obeys, in general, the relation D_n=D_0+δD_n, where D_0 is the zero-temperature charge stiffness and δD_n arises from excitations. Away from half filling and for the low-energy (gapless) eigenstates, we find that the energy levels are, in general, flux dependent and, therefore, the system behaves as an ideal conductor, with D(T) finite. We show that if gapped excitations are included the low-energy excitations feel an effective flux Φ^{eff} which is different from what is usually expected. At half filling, we prove, in the strong interacting limit and to order 1/V (V is the nearest-neighbor Coulomb interaction), that the energy levels are flux independent. This leads to a zero value for the curvature of levels D_n and, as consequence, to D(T)=0, proving an earlier conjecture of Zotos and Prelovšek.

cond-mat.str-el↗

Optical absorption edge in one-dimensional conductors

The frequency-dependent conductivity is studied for both the one-dimensional Hubbard model and a model of spinless fermions, using a selection rule, the Bethe ansatz energy eigenstates, and conformal invariance. For densities where the system is metallic the absorption spectrum has two contributions, a Drude peak at ω= 0 separated by a pseudo-gap from a broad absorption band whose lower edge is characterized by a non-classical critical exponent. Our findings are expected to shed new light on the ``far infrared puzzle'' of metallic organic chain compounds.

cond-mat↗

The many-Electron Problem in Novel Low-Dimensional Materials

This work deals with the one-dimensional Hubbard model. It has seven chapters: 1. Introduction; 2. The Hubbard Model; 3. Algebraic Representation for the Hilbert Space of the 1D Hubbard Model; 4. Pseudoparticle Perturbation Theory; 5. Excitations and Finite-Size Effects; 6. Zero-Temperature Transport; 7. Conclusions.

cond-mat↗

Charge and Spin Currents of the 1D Hubbard Model at Finite Energy

The transport of charge and spin at finite energies is studied for the Hubbard chain in a magnetic field by means of the pseudoparticle perturbation theory. In the general case, this involves the solution of an infinite set of Bethe-ansatz equations with a flux. Our results refer to all densities and magnetizations. We express the charge and the spin-diffusion currents in terms of elementary currents associated with the charge and spin carriers. We show that these are the α,γpseudoparticles (with α=c,s and γ=0,1,2,3,...) and we find their couplings to charge and spin. We also study the ratios of the pseudoparticle charge and spin transport masses over the corresponding static mass. These ratios provide valuable information on the effects of electronic correlations in the transport properties of the quantum system. We show that the transport of charge and spin in the Hubbard chain can, alternatively, be described by means of pseudoparticle kinetic equations. This follows from the occurrence of only forward-scattering pseudoparticle interactions at all energies.

cond-mat.str-el↗

Complete Pseudohole and Heavy-Pseudoparticle Operator Representation for the Hubbard Chain

We introduce the pseudohole and heavy-pseudoparticle operator algebra that generates all Hubbard-chain eigenstates from a single reference vacuum. In addition to the pseudoholes already introduced for the description of the low-energy physics, this involves the heavy pseudoparticles associated with Hamiltonian eigenstates whose energy spectrum has a gap relatively to the many-electron ground state. We introduce a generalized pseudoparticle perturbation theory which describes the relevant finite-energy ground state transitions. In the present basis these excitations refer to a small density of excited pseudoparticles. Our operator basis goes beyond the Bethe-ansatz solution and it is the suitable and correct starting point for the study of the finite-frequency properties, which are of great relevance for the understanding of the unusual spectral properties detected in low-dimensional novel materials.

cond-mat.str-el↗

Complete Pseudoparticle Representation and the Conductivity Spectrum of the Hubbard Chain

We use a complete pseudoparticle operator representation to study the explicit form of the finite-frequency conductivity for the Hubbard chain. Our study reveals that the spectral weight is mostly concentrated at the ω=0 Drude peak (except at density n=1) and at an absorption starting just below twice the value of the chemical potential whose ω-dependence we evaluate exactly. We also obtain the exact ωdependence of the higher-energy, less-pronounced absorption edges, whose weights vanish for large on-site interaction U.

cond-mat↗

Pseudoparticle Description of the 1D Hubbard Model Electronic Transport Properties

We extend the pseudoparticle transport description of the Hubbard chain to all energy scales. In particular we compute the mean value of the electric current transported by any Bethe-ansatz state and the transport masses of the charge carriers. We present numerical results for the optical conductivity of the model at half-filling for values of U/t=3 and 4. We show that these are in good agreement with the pseudoparticle description of the finite-energy transitions involving new pseudoparticle energy bands.

cond-mat.str-el↗