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Magnetic field and pressure induced valence and metal-insulator transitions in the spin-one-half Falicov–Kimball model

  • Regular Article - Solid State and Materials
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Abstract

A combination of exact diagonalization calculations and a well-controlled approximate method is used to study valence and metal-insulator transitions in the spin-one-half Falicov–Kimball model (FKM) in the external magnetic field. It is shown that there exists a critical value of the magnetic field \(h_c\) that depends on the f-level position \(E_f\), above which the spin-one-half FKM maps onto the spinless FKM. In this limit the spin-one-half FKM recovers all physics of the spinless model, including the picture of valence and metal-insulator transitions induced by changes of \(E_f\) and opens the way to its experimental verification in real systems, like rare-earth compounds in the external magnetic field. In addition, we have found that the spin-one-half FKM in the external magnetic field exhibits a wide spectrum of continuous, as well as discontinuous valence, magnetic and metal-insulator transitions that can be induced by tuning directly the external magnetic field or indirectly the external pressure (via the f-level position). The experimental verification of these transitions represent also an interesting challenge, the solution of which can shed more light on the physics of valence and metal-insulator transitions in correlated d-f electron systems. Most of presented results are calculated for the one-dimensional spin-one-half FKM, but to establish connection with the behavior of real rare-earth materials we discuss also effects of the increasing system dimension and the anisotropic spin-dependent d-f interaction, which can play an important role in these materials.

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Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: The data can be obtained through numerical simulations described in detail in the current manuscript.]

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Acknowledgements

This work was supported by projects VEGA 2-0112-18, APVV-17-0020, ITMS 2220120047, ITMS 26230120002 and IMTS 26210120002.

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Authors and Affiliations

  1. Institute of Experimental Physics, Slovak Academy of Sciences, Watsonova 47, 043 53, Košice, Slovakia

    Pavol Farkašovský

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  1. Pavol Farkašovský
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Correspondence to Pavol Farkašovský.

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Farkašovský, P. Magnetic field and pressure induced valence and metal-insulator transitions in the spin-one-half Falicov–Kimball model. Eur. Phys. J. B 94, 61 (2021). https://doi.org/10.1140/epjb/s10051-021-00069-z

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