Branches Of Excitations Research Articles

Temperature dependence of static and dynamic properties of an anisotropic ferrimagnet

The temperature dependences of the magnetizations of sublattices and the spectra of elementary excitations of an anisotropic ferrimagnet have been investigated. It has been shown that, in the anisotropic ferrimagnet, even a weak single-ion anisotropy induces the quantum spin reduction effect and, as a consequence, changes the behavior of the magnetizations of the sublattices. This gives rise to a new branch of magnetic excitations with the purely longitudinal dynamics of the average value of the spin due to the quantum spin reduction effect.

The two-component spin–fermion model for high-Tc cuprates: its applications in neutron scattering and ARPES experiments

Motivated by neutron scattering experiments in high-Tc cuprates, we propose the two-component spin–fermion model as a minimal phenomenological model, which has both local spins and itinerant fermions as independent degrees of freedom (d.o.f.). Our calculations of the dynamic spin correlation function provide a successful description of the puzzling neutron experiment data and show that: (i) the upward dispersion branch of magnetic excitations is mostly due to local spin excitations; (ii) the downward dispersion branch is from collective particle–hole excitations of fermions; and (iii) the resonance mode is a mixture of both d.o.f. Using the same model with the same set of parameters, we calculated the renormalized quasiparticle (q.p.) dispersion and successfully reproduced one of the key features of the angle-resolved photoemission spectroscopy (ARPES) experiments, namely the high-energy kink structure in the fermion q.p. dispersion, thus supporting the two-component spin–fermion phenomenology.

Exciton Condensation Under High Magnetic Field

The new results in the theory of Bose-Einstein condensation (BEC) of the two-dimensional (2D) magnetoexcitons formed by the high-density electron-hole (e-h) pairs created on the semiconductor mono-layer in a strong perpendicular magnetic field are reviewed. One of them is the metastable dielectric liquid phase (MDLP) formed by the 2D magnetoexcitons BEG-ed on the single-particle state with sufficiently large values of the wave vector k, so that its product kl with the magnetic length l equals about kl approximate to 3-4. This state was revealed in the conditions when the electrons and holes are situated on the lowest Landau levels (LLLs) and the polarizability of the Bose gas was calculated on the base of the Anderson-type coherent excited states. They give rise to correlation energy and to chemical potential displaying a nonmonotonous dependence on the filling factor v(2) with a relative minimum and with positive compressibility in its vicinity. The influence of the excited Landau levels (ELLs) on the quantum states of the e-h system is due to the virtual quantum transitions of particles from the LLLs to ELLs during the Coulomb scattering processes and to their subsequent return back. These quantum transitions were taken into account in the frame of the second order perturbation theory giving rise to an effective Hamiltonian describing the supplementary indirect interactions between the particles lying on the LLLs. This interaction is characterized by a small parameter equal to the ratio r of the magnetoexciton ionization potential l(ex)(0) to the Landau quantization energy (h) over bar omega(c). The parameter r = l(ex)(0)/(h) over bar omega(c), decreases as H-1/2 with the increasing the magnetic field strength H. The supplementary interaction is attractive, making the magnetoexcitons in the Hartree approximation more robust. Nevertheless its exchange, Fock terms as well as the Bogoliubov u-v transformation terms give rise to positive, repulsion-type contributions to the chemical potential. The Bose gas of magnetoexcitons with k = 0 becomes weakly nonideal when the ELLs are taken into account. The collective elementary excitations of two ground states corresponding to BEG-ed magnetoexcitons forming either a nonideal Bose gas with k = 0 or the MDLP with kl approximate to 3-4 were studied in the frame of the perturbation theory with the infinitesimal parameter v(2)(1 - v(2)), chosen as a product of the filling factor v(2) and of the phase space filling factor (1 - v(2)). The collective elementary excitations in both cases consist from the exciton and plasmon branches. Due to the presence of the condensate there are energy and quasi-energy branches. The self-energy parts containing the unknown frequency in denominators increase the degree of the dispersion equations and give rise to mixed exciton-plasmon and exciton-exciton elementary excitation branches.

Multi-frequency ESR in the S = 5/2 triangular-lattice antiferromagnet CuFe1−xGaxO2

We have performed multi-frequency electron spin resonance (ESR) and magnetization measurements on single crystals of the triangular-lattice antiferromagnet CuFe1−xGaxO2 (x = 0.000-0.028) to clarify the origin of the shift of the magnetic transition field from an Ising-like four-sublattice phase into an incommensurate phase by doping of Ga3+. As a result, we have succeeded in explaining the shift of transition field by broadening of the lowest excitation branch.

Collective Modes in the Loop Ordered Phase of Cuprate Superconductors

We show that the two branches of collective modes discovered recently in underdoped cuprates with a large spectral weight are a necessary consequence of the loop-current state. Such a state has been shown in earlier experiments to be consistent with the symmetry of the order parameter competing with superconductivity in four families of cuprates. We also predict a third branch of excitations which cannot be discovered by neutron scattering but may be discovered by other techniques. Using parameters to fit the observed modes, we show that quantum fluctuations change the direction of the effective moments in the ground state to lie at an angle to the c axis as observed in experiments.

Singlet-Triplet Excitations in the Unconventional Spin-Peierls TiOBr Compound

We have performed time-of-flight neutron scattering measurements on powder samples of the unconventional spin-Peierls compound TiOBr using the fine-resolution Fermi chopper spectrometer (SEQUOIA) at the Spallation Neutron Source at Oak Ridge National Laboratory. These measurements reveal two branches of magnetic excitations within the commensurate and incommensurate spin-Peierls phases, which we associate with n=1 and n=2 triplet excitations out of the singlet ground state. These results represent the first direct measurement of the singlet-triplet energy gap in TiOBr, which has a value of E(g)=21.2±1.0 meV.

Trial Wavefunctions for the Goldstone Mode in Quantum Hall Bilayers

Based on the known physics of the excitonic superfluid or 111 state of the quantum Hall bilayer, we create a simple trial wavefunction ansatz for constructing a low-energy branch of (Goldstone) excitations by taking the overall ground state and boosting one layer with respect to the other. This ansatz works extremely well for any interlayer spacing. For small , this is simply the physics of the Goldstone mode, whereas for large , this is a reflection of composite fermion physics. We find hints that certain aspects of composite fermion physics persist to low whereas certain aspects of Goldstone mode physics persist to high . Using these results, we show nonmonotonic behavior of the Goldstone mode velocity as a function of .

Spiky strings and giant holes

We analyse semiclassical strings in AdS in the limit of one large spin. In this limit, classical string dynamics is described by a finite number of collective coordinates corresponding to spikes or cusps of the string. The semiclassical spectrum consists of two branches of excitations corresponding to “large” and “small” spikes respectively. We propose that these states are dual to the excitations known as large and small holes in the spin chain description of \( \mathcal{N} = 4 \) SUSY Yang-Mills. The dynamics of large spikes in classical string theory can be mapped to that of a classical spin chain of fixed length. In turn, small spikes correspond to classical solitons propagating on the background formed by the large spikes. We derive the dispersion relation for these excitations directly in the finite gap formalism.

Excitation spectrum of one-dimensional extended ionic Hubbard model

We use perturbative continuous unitary transformations (PCUT) to study the one dimensional extended ionic Hubbard model (EIHM) at half-filling in the band insulator region. The extended ionic Hubbard model, in addition to the usual ionic Hubbard model, includes an inter-site nearest-neighbor (n.n.) repulsion, V. We consider the ionic potential as unperturbed part of the Hamiltonian, while the hopping and interaction (quartic) terms are treated as perturbation. We calculate total energy and ionicity in the ground state. Above the ground state, (i) we calculate the single particle excitation spectrum by adding an electron or a hole to the system; (ii) the coherence-length and spectrum of electron-hole excitation are obtained. Our calculations reveal that for V = 0, there are two triplet bound state modes and three singlet modes, two anti-bound states and one bound state, while for finite values of V there are four excitonic bound states corresponding to two singlet and two triplet modes. The major role of on-site Coulomb repulsion U is to split singlet and triplet collective excitation branches, while V tends to pull the singlet branches below the continuum to make them bound states.

Quadrupolar Waves in Uranium Dioxide

In presence of active orbital degrees of freedom, elementary excitations around a broken-symmetry state may include multipolar waves, but none of these exotic dispersive excitation branches has ever been identified. We show that quadrupolar waves constitute a major component of the dynamics of uranium dioxide in its magnetoquadrupolar ordered phase, and that many unexplained features in existing inelastic neutron scattering data, including a whole excitation branch, are associated with these propagating quadrupolar fluctuations. Our model permits us to separate the role of Jahn-Teller and superexchange mechanisms as sources of quadrupolar interactions.

Inverse scattering transform for the nonlinear Schrödinger system on a zigzag-runged ladder lattice

A detailed description of four-component nonlinear Schrödinger system on zigzag-runged ladder lattice is given. In order to support the equivalence between the two pairs of field amplitudes, we introduce the two sets of auxiliary linear problems, allowing one to develop the inverse scattering technique in the most adequate symmetrical form. The two complementary sets of discrete Marchenko equations are derived and their multisoliton solutions for the true reflectionless field amplitudes are found. The dispersion relations for the diagonal elements of reduced monodromy matrices are obtained. We explicitly present the simplest realization of soliton dynamics corresponding to the time-independent intersite coupling parameters and zero Peierls phases and show that the two-site structure of the lattice unit cell is strictly manifested as the two splitted branches of soliton excitations. In the general case of time-dependent intersite coupling parameters and nonzero Peierls phases, the theory is capable to model the dynamics of parametrically driven nonlinear ladder systems subjected to external magnetic field.

Giant Gamow-Teller resonance in neutron-rich nuclei

The giant Gamow-Teller resonance and other branches of collective nuclear excitations are described on the basis of the theory of finite Fermi systems. A connection between the Gamow-Teller resonance and Wigner SU(4) symmetry is proven. The beta-decay strength function and processes accompanying the β − decay of neutron-rich nuclei are described. The effect of the satellites of the Gamow-Teller resonance on the decay properties of neutron-rich nuclei is analyzed.

Giant holes

We study the semiclassical spectrum of excitations around a long spinning string in AdS3. In addition to the usual small fluctuations, we find that the spectrum contains a branch of solitonic excitations of finite energy. We determine the dispersion relation for these excitations. This has a relativistic form at low energies but also matches the dispersion relation for the ‘holes’ of the dual gauge theory spin chain at high energies. The low-energy behaviour is consistent with the hypothesis that the solitonic excitations studied here are continuously related to the elementary excitations of the string.

Schwinger-boson mean-field theory of an anisotropic ferrimagnetic spin chain

By using the Schwinger-boson mean-field theory, the Heisenberg ferrimagnetic spin chain with the single-ion anisotropy D is explored. Based on the effect of the single-ion anisotropy D, we obtain four branches of the low-lying excitation and calculate the anisotropy dependence of spin reduction and the longitudinal correlation at zero temperature. We also discuss the free energy, magnetic susceptibility and specific heat at finite temperature with different anisotropy D.

Erratum: Metastable quantum phase transitions in a periodic one-dimensional Bose gas. II. Many-body theory [Phys. Rev. A81, 023625 (2010)

We show that quantum solitons in the Lieb-Liniger Hamiltonian are precisely the yrast states. We identify such solutions clearly with Lieb's type II excitations from weak to strong interactions, clarifying a long-standing question of the physical meaning of this excitation branch. We demonstrate that the metastable quantum phase transition previously found in mean field analysis of the weakly-interacting Lieb-Liniger Hamiltonian [Phys. Rev. A {\bf 79}, 063616 (2009)] extends into the medium- to strongly-interacting regime of a periodic one-dimensional Bose gas. Our methods are exact diagonalization, finite-size Bethe ansatz, and the boson-fermion mapping in the Tonks-Girardeau limit.

Metastable quantum phase transitions in a periodic one-dimensional Bose gas. II. Many-body theory

We show that quantum solitons in the Lieb-Liniger Hamiltonian are precisely the yrast states. We identify such solutions with Lieb's type II excitations from weak to strong interactions, clarifying a long-standing question of the physical meaning of this excitation branch. We demonstrate that the metastable quantum phase transition previously found in mean-field analysis of the weakly interacting Lieb-Liniger Hamiltonian [Phys. Rev. A 79, 063616 (2009)] extends into the medium- to strongly interacting regime of a periodic one-dimensional Bose gas. Our methods are exact diagonalization, finite-size Bethe ansatz, and the boson-fermion mapping in the Tonks-Girardeau limit.

Factorized ground state for a general class of ferrimagnets

We have found the exact (factorized) ground state of a general class of ferrimagnets in the presence of a magnetic field which includes the anisotropic and long-range interactions for arbitrary dimensional space. In particular cases our model represents many spin chains with bond alternation of antiferromagnetic-ferromagnetic coupling, ferrimagnetic spin ladders, and also homogeneous spin-$s$ models. The factorized ground state is a product of single-particle kets on a bipartite lattice composed of two different spins $(\ensuremath{\rho},\ensuremath{\sigma})$ which is characterized by two angles, a biangle state. The spin-wave analysis around the exact ground state shows two branch of excitations which are the origin of two dynamics of the model. The signature of these dynamics is addressed as a peak and a broaden bump in the specific heat.

Collective dynamics in a disparate mass molten alloyLi4Tl: Analysis within the approach of generalized collective modes

We report a molecular dynamics (MD) study of collective dynamics in molten ${\text{Li}}_{4}\text{Tl}$ alloy, which was studied experimentally by inelastic neutron-scattering experiments and is supposed to have ``fast sound'' excitations because of a large ratio of components masses. Time-correlation functions obtained in MD simulations are analyzed by the generalized collective modes approach, that enables to obtain dispersion and damping of the different collective modes, and to estimate their contributions to the time-correlation functions and their corresponding dynamic-structure factors. We show, that there exists a transition in the contributions from the high- and low-frequency branches of collective excitations to the total dynamic-structure factor for wave numbers $k$ around $0.4\text{ }{\text{\AA{}}}^{\ensuremath{-}1}$. Only the low-frequency hydrodynamic acoustic modes without any fast sound define the Brillouin peak in the long-wavelength range, while the high-frequency modes mainly contribute to the side peak of the total dynamic-structure factor for $kg0.4\text{ }{\text{\AA{}}}^{\ensuremath{-}1}$.

Plasmon excitations in homogeneous neutron-star matter

We study the possible collective plasma modes which can affect neutron-star thermodynamics and different elementary processes in the baryonic density range between nuclear saturation ρ 0 and 3ρ 0. In this region, the expected constituents of neutron-star matter are mainly neutrons, protons, electrons, and muons (npeµ matter), under the constraint of beta equilibrium. The elementary plasma excitations of the peµ three-fluid medium are studied in the RPA framework. We emphasize the relevance of the Coulomb interaction among the three species, in particular, the interplay of the electron and muon screening in suppressing the possible proton plasma mode, which is converted into a sound-like mode. The Coulomb interaction alone is able to produce a variety of excitation branches and the full spectral function shows a rich structure at different energy. The genuine plasmon mode is pushed at high energy and it contains mainly an electron component with a substantial muon component, which increases with density. The plasmon is undamped for not too large momentum and is expected to be hardly affected by the nuclear interaction. All the other branches, which fall below the plasmon, are damped or over-damped.

Elementary excitations and thermodynamics of zig-zag spin ladders with alternating nearest-neighbor exchange interactions

A one-dimensional spin-1∕2 model in which the alternation of the exchange interactions between neighboring spins is accompanied by the next-nearest-neighbor (NNN) spin exchange (zig-zag spin ladder with alternation) is studied. The thermodynamic characteristics of the model quantum spin chain are obtained in the mean-field-like approximation. Depending on the strength of the NNN interactions, the model manifests either the spin-gapped behavior of low-lying excitations at low magnetic fields, or ferrimagnetic ordering in the ground state with gapless low-lying excitations. The system undergoes second-order or first-order quantum phase transitions, governed by the external magnetic field, NNN coupling strength, and the degree of the alternation. Hence, NNN spin–spin interactions in a dimerized quantum spin chain can produce a spontaneous magnetization. On the other hand, for quantum spin chains with a spontaneous magnetization, caused by NNN spin–spin couplings, the alternation of nearest-neighbor (NN) exchange interactions can cause destruction of that magnetization and the onset of a spin gap for low-lying excitations. Alternating NN interactions produce a spin gap between two branches of low-energy excitations, and the NNN interactions yield asymmetry of the dispersion laws of those excitations, with possible minima corresponding to incommensurate structures in the spin chain.