Stripe Phases in the Two-Dimensional Falicov-Kimball Model

Lemański, R.; Freericks, J. K.; Banach, G.

doi:10.1103/physrevlett.89.196403

Cited by 67 publications

(70 citation statements)

References 42 publications

(28 reference statements)

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“…In this case at low temperature the localized particles form patterns which are incommensurate with the underlying lattice [13], which results in a rich structure of the density of states even without magnetic field. The fractal structure of the Hofstadter butterfly is a result of an interplay between two length scales: lattice constant and the Landau radius.…”

Section: Discussionmentioning

confidence: 99%

The Falicov-Kimball Model in External Magnetic Field: Orbital Effects

2010

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We study thermodynamic properties of the two-dimensional (2D) Falicov-Kimball model in the presence of external magnetic field perpendicular to the lattice. The field is taken into account by the Peierls substitution in the hopping term. We show how the Hofstadter butterfly is affected by electronic correlations. In the non-interacting case the field dependent energy spectrum forms the famous Hofstadter butterfly. Our results indicate that for arbitrary nonzero interaction strength and arbitrary magnetic field there is a gap in the energy spectrum at sufficiently low temperature. The gap vanishes with increase of temperature for weak coupling, however, it persists at high temperatures if the coupling is strong enough. Numerical results have been obtained with the help of Monte Carlo technique based on a modified Metropolis algorithm.

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Section: Discussionmentioning

confidence: 99%

The Falicov-Kimball Model in External Magnetic Field: Orbital Effects

2010

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“…The vertical/horizontal striped phase is closer to the segregated phase than the diagonal striped phase. In case the both kinds of stripe phases (vertical/horizontal and diagonal) appear in a phase diagram, such a succession of striped phases is perhaps generic, see also [15,32].…”

Section: Discussion Of the Phase Diagrams And Conclusionmentioning

confidence: 99%

“…Buhler et al [14] have found, by means of Monte Carlo simulations, that upon hole doping antiferromagnetic spin domains and charge stripes, whose properties are in very good agreement with experiments, appear in a spin-fermion model for cuprates. Using the so called restricted phase diagrams, the stability problem of charge-stripe phases has been studied in the spinless Falicov-Kimball model by Lemanski et al [15,16]. In their study the formation of charge stripe-ordered phases can be looked upon as a way the system interpolates between a periodic charge-density wave phase (the chessboard phase) and the segregated phase (a mixture of completely filled and completely empty phases), as the degree of doping varies.…”

Section: Introductionmentioning

confidence: 99%

“…And this can be said despite, as emphasized in [8], a spectacular consensus of results concerning half-filled stripes, obtained by means of various approximate meth-ods. Therefore, as pointed out in [12,15] further careful studies are necessary to settle the problem of formation of stripe-ordered phases. One of possible ways of attacking this problem is to formulate analog problems in less realistic but simpler models, where some control over the results obtained by means of various methods of many-body physics can be gained.…”

Section: Introductionmentioning

confidence: 99%

“…Our work has been inspired mainly by the recent studies of Lemański et al [15,16] and by Zhang and Henley [12,17]. To investigate the key question, whether charge stripe-ordered phases are stable compared to a phase-separated state, we study rigorously the strong-coupling limit of an extended spinless Falicov-Kimball model on a square lattice, with mobile particles being spinless fermions or hardcore bosons.…”

Section: Introductionmentioning

confidence: 99%

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Formation of charge-stripe phases in a system of spinless fermions or hardcore bosons

Derzhko

̧drzejewski

2005

Physica A: Statistical Mechanics and its Applications

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We consider two strongly correlated two-component quantum systems, consisting of quantum mobile particles and classical immobile particles. The both systems are described by Falicov-Kimball-like Hamiltonians on a square lattice, extended by direct short-range interactions between the immobile particles. In the first system the mobile particles are spinless fermions while in the second one they are hardcore bosons. We construct rigorously ground-state phase diagrams of the both systems in the strong-coupling regime and at half-filling. Two main conclusions are drawn. Firstly, short-range interactions in quantum gases are sufficient for the appearance of charge stripe-ordered phases. By varying the intensity of a direct nearest-neighbor interaction between the immobile particles, the both systems can be driven from a phase-separated state (the segregated phase) to a crystalline state (the chessboard phase) and these transitions occur necessarily via charge-stripe phases: via a diagonal striped phase in the case of fermions and via vertical (horizontal) striped phases in the case of hardcore bosons. Secondly, the phase diagrams of the two systems (mobile fermions or mobile hardcore bosons) are definitely different. However, if the strongest effective interaction in the fermionic case gets frustrated gently, then the phase diagram becomes similar to that of the bosonic case.

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Charge and magnetic order in mixed valence systems

Lemański

2005

Physica Status Solidi (b)

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We analyze charge and magnetically ordered phases in systems described by a generalized FalicovKimball model, with a spin-dependent interaction term representing the Hund's rule. We study ground state properties of the model rigorously on the infinite 2D square lattice, but within the restricted configurational space, composed of all periodic phases (and their mixtures), for which the number of sites per unit cell is less or equal to 4. In the current work we focus on the mixed valence regime, where the total density of electrons is fixed and equal to 1. For a range of intermediate values of the interaction parameters we detected stable charge and magnetic superstructures of the form of stripes. They display various magnetic arrangements of the localized elctrons, including ferri-and antiferromagnetic, despite of the assumption of the ferromagnetic on-site coupling.

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Stripe Phases in the Two-Dimensional Falicov-Kimball Model

Cited by 67 publications

References 42 publications

The Falicov-Kimball Model in External Magnetic Field: Orbital Effects

The Falicov-Kimball Model in External Magnetic Field: Orbital Effects

Formation of charge-stripe phases in a system of spinless fermions or hardcore bosons

Charge and magnetic order in mixed valence systems

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