Phase transitions in the generalized spin-one-half Falicov–Kimball model in two dimensions

Žonda, Martin; Farkašovský, Pavol; Čenčariková, Hana

doi:10.1080/01411590802171018

Cited by 6 publications

(7 citation statements)

References 33 publications

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“…To achieve this goal, various types of models [9][10][11][12] in combination with less or more sophisticated methods [13][14][15][16][17] have been used. In spite of enormous effort, some of physical phenomena still lack full understanding since they have not been reliably explained so far.…”

Section: Introductionmentioning

confidence: 99%

Magnetization processes and existence of reentrant phase transitions in coupled spin-electron model on doubly decorated planar lattices

Čenčariková

Strečka

Gendiar

2018

Journal of Magnetism and Magnetic Materials

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An alternative model for a description of magnetization processes in coupled 2D spin-electron systems has been introduced and rigorously examined using the generalized decoration-iteration transformation and the corner transfer matrix renormalization group method. The model consists of localized Ising spins placed on nodal lattice sites and mobile electrons delocalized over the pairs of decorating sites. It takes into account a hopping term for mobile electrons, the Ising coupling between mobile electrons and localized spins as well as the Zeeman term acting on both types of particles. The ground-state and finite-temperature phase diagrams were established and comprehensively analyzed. It was found that the ground-state phase diagrams are very rich depending on the electron hopping and applied magnetic field. The diversity of magnetization curves can be related to intermediate magnetization plateaus, which may be continuously tuned through the density of mobile electrons. In addition, the existence of several types of reentrant phase transitions driven either by temperature or magnetic field was proven.

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Section: Introductionmentioning

confidence: 99%

Magnetization processes and existence of reentrant phase transitions in coupled spin-electron model on doubly decorated planar lattices

Čenčariková

Strečka

Gendiar

2018

Journal of Magnetism and Magnetic Materials

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“…This opens a vast variety of problems that can be addressed by the used method and various extensions of the FKM. Besides investigating other regimes of the spinless FKM, e.g., the vicinity of the PHS case where various nonhomogeneouse axial orderings compete with full CDW phase [71], insight into the spin-resolved current can be gained from the investigation of the transport through the spinfull version of the FKM, where the homogeneous charge orderings are accompanied by different spin orderings [76,129,130]. Such studies are expected to be particularly interesting in the context of spintronics.…”

Section: Discussionmentioning

confidence: 99%

“…As this is a single particle problem, the trace can be calculated efficiently using exact numerical diagonalization. The sum over configurations w can then be calculated using a Metropolis algorithm based MC method [54,56,71,118,119,123].…”

Section: Decoupled Systemmentioning

confidence: 99%

“…Away from these special limits, hence, for moderate Coulomb interaction and outside the PHS point, the ground-state of the FKM is extremely rich and contains stable nonhomogeneous charge orderings of various types including different types of charge stripes [37,[63][64][65][66][67] which are stable also at finite temperatures [68][69][70][71][72][73]. Besides, these already exotic charge orderings are often accompanied by nonhomogeneous magnetic structures in the spinful version of the FKM and its various generalizations [41,[74][75][76].…”

Section: Introductionmentioning

confidence: 99%

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Electronic transport through correlated electron systems with nonhomogeneous charge orderings

2020

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The spinless Falicov-Kimball model exhibits outside the particle-hole symmetric point different stable nonhomogeneous charge orderings. These include the well known charge stripes and a variety of orderings with phase separated domains, which can significantly influence the charge transport through the correlated electron system. We show this by investigating a heterostructure, where the Falicov-Kimball model on a finite two-dimensional lattice is located between two non-interacting semi-infinite leads. We use a combination of nonequilibrium Green's functions techniques with a signproblem-free Monte Carlo method for finite temperatures or simulated annealing technique for the ground state to address steady-state transport through the system. We show that different groundstate phases of the central system can lead to simple metallic-like or insulating charge transport characteristics, but also to more complicated current-voltage dependencies reflecting a multi-band character of the transmission function. Interestingly, with increasing temperature, the orderings tend to form transient phases before the system reaches the disordered phase. This leads to nontrivial temperature dependencies of transmission function and charge current.

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“…As this is a single-particle problem, the trace can be calculated effectively using exact numerical diagonalization. The sum over configurations w can then be calculated using a Metropolis algorithm based Monte Carlo method 24,[61][62][63]78 .…”

Section: A Thermodynamic Propertiesmentioning

confidence: 99%

Gapless regime in the charge density wave phase of the finite dimensional Falicov-Kimball model

2019

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The ground-state density of states of the half-filled Falicov-Kimball model contains a chargedensity-wave gap. At finite temperature, this gap is not immediately closed, but is rather filled in by subgap states. For a specific combination of parameters, this leads to a stable phase where the system is in an ordered charge-density-wave phase, but there is high density of states at the Fermi level. We show that this property can be, in finite dimensions, traced to a crossing of sharp states resulting from the single particle excitations of the localized subsystem. The analysis of the inverse participation ratio points to a strong localization in the discussed regime. However, the pronounced subgap density of states can still lead to a notable increase of charge transport through a finite size system. We show this by focusing on the transmission in heterostructures where a Falicov-Kimball system is sandwiched between two metallic leads.

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Phase transitions in the generalized spin-one-half Falicov–Kimball model in two dimensions

Cited by 6 publications

References 33 publications

Magnetization processes and existence of reentrant phase transitions in coupled spin-electron model on doubly decorated planar lattices

Magnetization processes and existence of reentrant phase transitions in coupled spin-electron model on doubly decorated planar lattices

Electronic transport through correlated electron systems with nonhomogeneous charge orderings

Gapless regime in the charge density wave phase of the finite dimensional Falicov-Kimball model

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