Compressible ferrimagnetism in the depleted periodic Anderson model

Costa, Natanael C.; Araújo, Maykon V.; Lima, J.P. de; Paiva, Thereza; Santos, Raimundo R. dos; Scalettar, Richard

doi:10.1103/physrevb.97.085123

Cited by 24 publications

(20 citation statements)

References 78 publications

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“…One should also notice that, since there is an energetic cost to break the triplets formed by spins on p sites, the compressibility is reduced as the temperature decreases, for x 0.30, and grows faster for x 0.40. [56][57][58] and of the single band Hubbard model with random dilution of the on-site interaction [12][13][14][15][16] have provided opportunities for the exploration of magnetic order in systems possessing both sites where moments form and those for which charge fluctuations are allowed. By considering dilution on the repulsive Hubbard model on a Lieb lattice, in which the on-site repulsion U is switched off on a fraction x of sites, we have established some new features of this problem.…”

Section: Resultsmentioning

confidence: 99%

Dynamical resilience to disorder: The dilute Hubbard model on the Lieb lattice

et al. 2020

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Magnetic order in itinerant electron systems arises from the on-site repulsion interaction between electrons, U , due to local moment formation and their coupling via the exchange energy. Therefore, the moment formation, e.g. in the single-band Hubbard model on the square lattice, is weakened when a fraction x of U is randomly set to zero, exhibiting an upper bound dilution limit as the classical percolation threshold of the lattice, x (perc,sq) c . In this paper, we study dilute magnetism in flat band systems, namely in the Hubbard model on a 'Lieb' lattice. Interestingly, we show that magnetic order persists to x almost twice as large as the classical percolation threshold for the lattice, thus emphasizing the central role of electron itinerancy to the magnetic response. The analysis of the orbital-resolved order parameters reveals that the contribution of the four-fold coordinated 'd' sites to magnetism is dramatically affected by dilution, while the localized 'p' states of the flat band provide the dominant contribution to long-range correlations. We also examine the transport properties, which suggest the existence of an insulator-to-metal transition in the same range of the critical magnetic dilution.

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Section: Resultsmentioning

confidence: 99%

Dynamical resilience to disorder: The dilute Hubbard model on the Lieb lattice

et al. 2020

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“…Recent numerical work on the homogeneous PAM has captured the KS anomaly and provided T * by quantitatively characterizing the different orbital contributions to the global susceptibility. 44,45 In the context of impurity doping, 46 the PAM successfully describes the enhancement of AF correlations around doped impurities in CeCo(In 1−x Cd x ) 5 , [47][48][49] and also provides evidence of a magnetic suppression when nonlocal hybridization terms are included 50,51 , as in the case of CeCo(In 1−x Sn x ) 5 . 23,52 Here we study the combination of randomness and strong interactions with an exact numerical approach which allows for 'real space imaging' of spin correlations.…”

Section: Introductionmentioning

confidence: 99%

Coherence temperature in the diluted periodic Anderson model

et al. 2019

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The Kondo and Periodic Anderson Model (PAM) are known to provide a microscopic picture of many of the fundamental properties of heavy fermion materials and, more generally, a variety of strong correlation phenomena in 4f and 5f systems. In this paper, we apply the Determinant Quantum Monte Carlo (DQMC) method to include disorder in the PAM, specifically the removal of a fraction x of the localized orbitals. We determine the evolution of the coherence temperature T * , where the local moments and conduction electrons become entwined in a heavy fermion fluid, with x and with the hybridization V between localized and conduction orbitals. We recover several of the principal observed trends in T * of doped heavy fermions, and also show that, within this theoretical framework, the calculated Nuclear Magnetic Resonance (NMR) relaxation rate tracks the experimentally measured behavior in pure and doped CeCoIn5. Our results contribute to important issues in the interpretation of local probes of disordered, strongly correlated systems.

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“…We first consider the AF-singlet transition that occurs at the half-filling of the periodic Anderson model (PAM) [54][55][56][57][58][59][60][61] .…”

Section: Results I: the Periodic Anderson Modelmentioning

confidence: 99%

Learning quantum phase transitions through Topological Data Analysis

Tirelli,

Costa

2021

Preprint

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We implement a computational pipeline based on a recent machine learning technique, namely the Topological Data Analysis (TDA), that has the capability of extracting powerful informationcarrying topological features. We apply such a method to the study quantum phase transitions and, to showcase its validity and potential, we exploit such a method for the investigation of two paramount important quantum systems: the 2D periodic Anderson model and the Hubbard model on the honeycomb lattice, both cases on the half-filling. To this end, we have perform unbiased auxiliary field quantum Monte Carlo simulations, feeding the TDA with snapshots of the Hubbard-Stratonovich fields through the course of the simulations. The quantum critical points obtained from TDA agree quantitatively well with the existing literature, therefore suggesting that this technique could be used to investigate quantum systems where the analysis of the phase transitions is still a challenge.

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Compressible ferrimagnetism in the depleted periodic Anderson model

Cited by 24 publications

References 78 publications

Dynamical resilience to disorder: The dilute Hubbard model on the Lieb lattice

Dynamical resilience to disorder: The dilute Hubbard model on the Lieb lattice

Coherence temperature in the diluted periodic Anderson model

Learning quantum phase transitions through Topological Data Analysis

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