Localized spin ordering in Kondo lattice models

McCulloch, Ian P.; Juozapavičius, Aušrius; Rosengren, Anders; Gulácsi, Miklós

doi:10.1103/physrevb.65.052410

Cited by 62 publications

(67 citation statements)

References 23 publications

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“…31; this phase would be analogous to the one obtained for the Kondo lattice model in Ref. 32. In view of this, we have carried out thorough tests for n = 1.75 and 1.875 in order to detect such a phase, but all our results were negative.…”

Section: Intermediate Fillingsmentioning

confidence: 99%

Incommensurate spin-density-wave and metal-insulator transition in the one-dimensional periodic Anderson model

et al. 2011

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We have used the density-matrix renormalization group method to study the ground-state properties of the symmetric periodic Anderson model in one dimension. We have considered lattices with up to N s = 50 sites, and electron densities ranging from quarter to half filling. Through the calculation of energies, correlation functions, and their structure factors, together with careful extrapolations (toward N s → ∞), we were able to map out a phase diagram U vs n, where U is the electronic repulsion on f orbitals, and n is the electronic density, for a fixed value of the hybridization. At quarter filling, n = 1, our data is consistent with a transition at U c 1 2, between a paramagnetic (PM) metal and a spin-density-wave (SDW) insulator; overall, the region U 2 corresponds to a PM metal for all n < 2. For 1 < n 1.5 a ferromagnetic phase is present within a range of U , while for 1.5 n < 2, we find an incommensurate SDW phase; above a certain U c (n), the system displays a Ruderman-Kittel-Kasuya-Yosida behavior, in which the magnetic wave vector is determined by the occupation of the conduction band. At half filling, the system is an insulating spin liquid, but with a crossover between weak and strong magnetic correlations.

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Section: Intermediate Fillingsmentioning

confidence: 99%

Incommensurate spin-density-wave and metal-insulator transition in the one-dimensional periodic Anderson model

et al. 2011

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“…This interaction is a result of the competition of onsite singlet formation and an effective Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction. 8 The order of the local spins due to the interaction is captured in the phase diagram of the KLM, 6,[9][10][11][12] which is basically divided into three phases depending on J /t and the electron filling n (n = 1 is half filling). At n = 1 the system turns out to order antiferromagnetically for arbitrary coupling strength.…”

Section: Introductionmentioning

confidence: 99%

Coulomb interaction effects and electron spin relaxation in the one-dimensional Kondo lattice model

et al. 2011

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We study the effects of the Coulomb interaction in the one-dimensional Kondo lattice model on the phase diagram, the static magnetic susceptibility, and electron spin relaxation. We show that onsite Coulomb interaction supports ferromagnetic order and nearest-neighbor Coulomb interaction drives, depending on the electron filling, either a paramagnetic or a ferromagnetic order. Furthermore, we calculate electron quasiparticle lifetimes, which can be related to electron spin relaxation and decoherence times, and explain their dependence on the strength of interactions and the electron filling in order to find the sweet spot of parameters where the relaxation time is maximized. We find that effective exchange processes between the electrons dominate the spin relaxation and decoherence rate.

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“…3 However, for small Kondo coupling and close to half filling a Ruderman-Kittel-Kasuya-Yosida liquid state and polaronic regime are always present. 4 For additional properties, see earlier reviews of Ref. 6.…”

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“…5 The localized spins, however, exhibit ferromagnetism, due to an effective double-exchange coupling. 3,4 The double exchange is driving the system toward ferromagnetism, while the fluctuations generated by Kondo singlets compete against this tendency. As a consequence, the paramagnetic to ferromagnetic phase transition is of the quantum order-disorder type, typical to models with an effective random field.…”

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confidence: 99%

“…The solution of Kondo-type models is well understood in two limiting cases; the single-impurity limit 2 which can be reduced to a one-dimensional problem and solved via Bethe ansatz, and second the Kondo lattice model ͑KLM͒, which was solved via bosonization 3 and numerous numerical approaches 4,5 in one dimension for half filling and partial conduction-band filling. For half filling the results indicate the existence of a finite spin and charge gap.…”

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Magnetism in the dilute Kondo lattice model

et al. 2004

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The one-dimensional dilute Kondo lattice model is investigated by means of bosonization for different dilution patterns of the array of impurity spins. The physical picture is very different if a commensurate or incommensurate doping of the impurity spins is considered. For the commensurate case, the obtained phase diagram is vertified using a non-Abelian density-matrix renormalization-group algorithm. The paramagnetic phase widens at the expense of the ferromagnetic phase as the f spins are diluted. For the incommensurate case, short-range antiferromagnetic correlations are found to dominate at low doping, which distinguishes the dilute Kondo lattice model from the standard Kondo lattice model. DOI: 10.1103/PhysRevB.69.174425 PACS number͑s͒: 75.10.Jm, 75.40.Mg, 05.50.ϩq Heavy fermion systems have been of great theoretical interest since their discovery some 20 years ago. 1 The central problem posed by heavy fermion materials is to understand the interaction between an array of localized moments ͑gen-erally f electrons in lanthanide or actinide ions͒ and conduction electrons ͑generally s or d band͒. This situation is well described by an antiferromagnetically coupled Kondo-type model.The solution of Kondo-type models is well understood in two limiting cases; the single-impurity limit 2 which can be reduced to a one-dimensional problem and solved via Bethe ansatz, and second the Kondo lattice model ͑KLM͒, which was solved via bosonization 3 and numerous numerical approaches 4,5 in one dimension for half filling and partial conduction-band filling. For half filling the results indicate the existence of a finite spin and charge gap. Accordingly in this case the Kondo lattice model is an insulator with welldefined massive solitonic excitations of the spin sector.For partial conduction-band filling, the conduction electrons form a Luttinger liquid, with spin and charge separation. 5 The localized spins, however, exhibit ferromagnetism, due to an effective double-exchange coupling. 3,4 The double exchange is driving the system toward ferromagnetism, while the fluctuations generated by Kondo singlets compete against this tendency. As a consequence, the paramagnetic to ferromagnetic phase transition is of the quantum order-disorder type, typical to models with an effective random field. 3 However, for small Kondo coupling and close to half filling a Ruderman-Kittel-Kasuya-Yosida liquid state and polaronic regime are always present. 4 For additional properties, see earlier reviews of Ref. 6. Beyond these two solvable limits, no rigorous results exist for the intermediate cases, where the number of impurities are neither one nor equal to the number of sites. This is the focus of our study. We concentrate on the one-dimensional case, and start from the Kondo lattice limit introducing impurity spin holes, that is, we will be dealing with a dilute Kondo lattice model ͑DKLM͒:where L is the number of sites and tϾ0 is the conduction electron hopping. We measure the Kondo coupling J in units of the hopping t. We denote by ...

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Localized spin ordering in Kondo lattice models

Cited by 62 publications

References 23 publications

Incommensurate spin-density-wave and metal-insulator transition in the one-dimensional periodic Anderson model

Incommensurate spin-density-wave and metal-insulator transition in the one-dimensional periodic Anderson model

Coulomb interaction effects and electron spin relaxation in the one-dimensional Kondo lattice model

Magnetism in the dilute Kondo lattice model

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