Phase diagram of the SU(2) Kondo lattice

We examine the SU(2) Kondo Lattice Model, for simple cubic lattices with various magnitudes of the localized spins j and numbers of conduction electrons, nc. For j=1/2, the system undergoes transitions from the paramagnetic to magnetically ordered states. The sequence of low-temperature magnetic sta...

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Main Authors: Miguel Abele, P. S. Riseborough
Format: Article
Language:English
Published: AIP Publishing LLC 2018-10-01
Series:AIP Advances
Online Access:http://dx.doi.org/10.1063/1.5043080
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author Miguel Abele
P. S. Riseborough
author_facet Miguel Abele
P. S. Riseborough
author_sort Miguel Abele
collection DOAJ
description We examine the SU(2) Kondo Lattice Model, for simple cubic lattices with various magnitudes of the localized spins j and numbers of conduction electrons, nc. For j=1/2, the system undergoes transitions from the paramagnetic to magnetically ordered states. The sequence of low-temperature magnetic states found on increasing nc is symmetric about half-filling and exhibits a preference for commensurate phases over incommensurate phases. On increasing nc from small values, the sequence of magnetic orderings consists of: ferromagnetic phases, planes of ferromagnetically spins which are sequentially twisted by nc-dependent angles, ferromagnetic planes of spins that are aligned antiferromagnetically, antiferromagnetic planes of spins in which the Neel order parameters are twisted through incommensurate angles. Neel order is most stable around half-filling. Magnetic ordered phases are found to be more stable than the Kondo phase for j=1/2, but larger j values may stabilize the Kondo phase. For j=3/2 the sequence of magnetic ordering with increasing nc is the same but, depending on the value of the strength of the Kondo interaction, the Kondo phase may be stabilized in a window 4 ≥ nc ≥ 2. In accordance with Nozieres’s arguments, we find that magnetic ordering is dominant for almost filled and almost empty bands.
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spelling doaj.art-5cee912d351f4129a61092223136cf7b2022-12-22T02:45:27ZengAIP Publishing LLCAIP Advances2158-32262018-10-01810101420101420-510.1063/1.5043080039893ADVPhase diagram of the SU(2) Kondo latticeMiguel Abele0P. S. Riseborough1Department of Physics, Temple University, Philadelphia, Pennsylvania 19122, USADepartment of Physics, Temple University, Philadelphia, Pennsylvania 19122, USAWe examine the SU(2) Kondo Lattice Model, for simple cubic lattices with various magnitudes of the localized spins j and numbers of conduction electrons, nc. For j=1/2, the system undergoes transitions from the paramagnetic to magnetically ordered states. The sequence of low-temperature magnetic states found on increasing nc is symmetric about half-filling and exhibits a preference for commensurate phases over incommensurate phases. On increasing nc from small values, the sequence of magnetic orderings consists of: ferromagnetic phases, planes of ferromagnetically spins which are sequentially twisted by nc-dependent angles, ferromagnetic planes of spins that are aligned antiferromagnetically, antiferromagnetic planes of spins in which the Neel order parameters are twisted through incommensurate angles. Neel order is most stable around half-filling. Magnetic ordered phases are found to be more stable than the Kondo phase for j=1/2, but larger j values may stabilize the Kondo phase. For j=3/2 the sequence of magnetic ordering with increasing nc is the same but, depending on the value of the strength of the Kondo interaction, the Kondo phase may be stabilized in a window 4 ≥ nc ≥ 2. In accordance with Nozieres’s arguments, we find that magnetic ordering is dominant for almost filled and almost empty bands.http://dx.doi.org/10.1063/1.5043080
spellingShingle Miguel Abele
P. S. Riseborough
Phase diagram of the SU(2) Kondo lattice
AIP Advances
title Phase diagram of the SU(2) Kondo lattice
title_full Phase diagram of the SU(2) Kondo lattice
title_fullStr Phase diagram of the SU(2) Kondo lattice
title_full_unstemmed Phase diagram of the SU(2) Kondo lattice
title_short Phase diagram of the SU(2) Kondo lattice
title_sort phase diagram of the su 2 kondo lattice
url http://dx.doi.org/10.1063/1.5043080
work_keys_str_mv AT miguelabele phasediagramofthesu2kondolattice
AT psriseborough phasediagramofthesu2kondolattice