Low-Temperature Magnetic Properties of the Kondo Lattice Model in One Dimension

Abstract

Low-temperature magnetic properties of the one-dimensional Kondo-lattice model with classical localized spins are investigated by means of a Monte Carlo simulation combined with an exact diagonalization technique. Comparative simulations are also made for the RKKY classical Heisenberg model known to be perturbatively derived in the weak-coupling limit. In addition to the previously identified antiferromagnetic, ferromagnetic and coplanar helical phases, the chiral noncoplanar phase and the collinear phases of the period-4 and 6 are newly identified, neither of which is realized in the corresponding RKKY model. The period-4 collinear phase persists even in the weak-coupling limit at the 1/4-and 3/4-fillings, invalidating the perturbative approach at these fillings.

Frustrated Kondo chains and glassy magnetic phases on the pyrochlore lattice

“…↑↓↑↓ · · · , for all values of electron-spin coupling J, consistent with the results obtained in Ref. [43]. One can understand the stabilization of the Néel order from the weak as well as the strong coupling limits.…”

“…whereĉ † i,µσ is the creation operator for electron with spin σ =↑, ↓ and orbital flavor µ = xy, yz, zx at site-i, ij µ indicates the nearest-neighbor (NN) pair along the 110 direction that corresponds to the active t 2g orbital µ, the hopping constant t is set to be 1 in all the simulations below, J ≈ U eff ŝ is the effective Hund's coupling, S i is the O(3) local magnetic moment, and s i,µ = α,β c † iµα σ αβ c iµβ is the electron spin operator. The 1D ferromagnetic Kondo chain, which is the backbone of Hamiltonian (1), have been extensively studied over the years [27][28][29]. However, the fact that every local spin S i is shared by three Kondo chains introduces competition between different chains.…”

“…The zero-temperature phase diagram of the classical 1D Kondo chain in the µ-J plane, where µ is the chemical potential of the electrons, has been mapped out in Ref. [43]. Here, instead, we focus on the Kondo chain with a fixed filling fraction n = 1/2 and n = 1/3, and obtain the ground states as a function of J.…”

Comment on "Low-Temperature Magnetic Properties of the Kondo Lattice Model in One Dimension"

“…In Ref. 1, incommensurate magnetic structures of the one-dimensional (1D) Kondo-lattice model were reexamined. This model has been already examined in a context of perovskite manganise oxides, 2, 3 but the main issue here is about the difference between the Kondolattice and RKKY models in a small Kondo-coupling region.…”

The Mott to Kondo transition in diluted Kondo superlattices

“…However, in this work, we discuss lattices whose unit cell contains Kondo impurities: Kondo lattices. Due to translational symmetries, Kondo scattering within such lattices conserve momentum, leading to coherent scattering and a decrease in resistivity below the Kondo temperature 30,31 . Interpreting requirements for constructing Kondo lattices will be essential in further understanding of correlated low-temperature research.…”