Ground-state phase diagram of the Kondo lattice model on triangular-to-kagome lattices

Akagi, Yutaka; Motome, Yukitoshi

doi:10.3938/jkps.63.405

Cited by 10 publications

(9 citation statements)

References 9 publications

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“…The non-interacting Kondo lattice model on the triangular lattice has been investigated in Refs. [26,27]. One of their findings is that a noncoplanar four-sublattice ordering emerges at and around 1/4 filling, in addition to the 3/4-filled case.…”

Section: Introductionmentioning

confidence: 98%

Spiral magnetism and chiral superconductivity in Kondo-Hubbard triangular lattice model

Ndiaye,

Dione,

Traor/'e

et al. 2021

Preprint

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Building on the results of Ref. [1], which identified an antiferromagnetic and Kondo singlet phases on the Kondo-Hubbard square lattice, we use the variational cluster approximation (VCA) to investigate the competition between these phases on a two-dimensional triangular lattice with 120 o spin orientation. In addition to the antiferromagnetic exchange interaction J ⊥ between the localized (impurity) and conduction (itinerant) electrons, our model includes the local repulsion U of the conduction electrons and the Heisenberg interaction J H between the impurities. At half-filling, we obtain the quantum phase diagrams in both planes (J ⊥ , UJ ⊥ ) and (J ⊥ , J H ). We identify a long-range, three-sublattice, spiral magnetic order which dominates the phase diagrams for small J ⊥ and moderate U, while a Kondo singlet phase becomes more stable at large J ⊥ . The transition from the spiral magnetic order to the Kondo singlet phase is a second-order phase transition. In the (J ⊥ , J H ) plane, we observe that the effect of J H is to reduce the Kondo singlet phase, giving more room to the spiral magnetic order phase. It also introduces some small magnetic oscillations of the spiral magnetic order parameter. At finite doping and when spiral magnetism is ignored, we find superconductivity with symmetry order parameter d + id, which breaks time reversal symmetry. The superconducting order parameter has a dome centered at around 5% hole doping, and its amplitude decreases with increasing J ⊥ . We show that spiral magnetism can coexist with d + id state and that superconductivity is suppressed, indicating that these two phases are in competition.

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Section: Introductionmentioning

confidence: 98%

Spiral magnetism and chiral superconductivity in Kondo-Hubbard triangular lattice model

Ndiaye,

Dione,

Traor/'e

et al. 2021

Preprint

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“…Normally at T = 0, the phase transitions between different magnetic states are of first order and accompanied by a phase separation (PS) region. This PS region is characterized by a jump of n e as in this region the system is not stable and can not have a fixed number density [41,42,43].…”

Section: J Jmentioning

confidence: 99%

“…Our goal in this paper is to identify ranges of parameters that favor non-coplanar spin orderings. With that goal, and following previous studies on similar models [41,42,43], we explore the ground state phase diagram of this model with variational calculations and find out the parameters space where chiral spin phases are energetically favored. Using a variational ansatz, we compare the energies for a variety of commonly observed ground state phases and determine the state with minimum energy.…”

Section: Introductionmentioning

confidence: 99%

Phase diagram of the Shastry-Sutherland Kondo lattice model with classical localized spins: a variational calculation study

Shahzad

Sengupta

2017

J. Phys.: Condens. Matter

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Abstract. We study the Shastry-Sutherland Kondo lattice model with additional Dzyaloshinskii-Moriya (DM) interactions, exploring the possible magnetic phases in its multi-dimensional parameter space. Treating the local moments as classical spins and using a variational ansatz, we identify the parameter ranges over which various common magnetic orderings are potentially stabilized. Our results reveal that the competing interactions result in a heightened susceptibility towards a wide range of spin configurations including longitudinal ferromagnetic and antiferromagnetic order, coplanar flux configurations and most interestingly, multiple non-coplanar configurations including a novel canted-Flux state as the different Hamiltonian parameters like electron density, interaction strengths and degree of frustration are varied. The non-coplanar and non-collinear magnetic ordering of localized spins behave like emergent electromagnetic fields and drive unusual transport and electronic phenomena.

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“…Owing to a large number of parameters involved, the SSL-KLM is expected to have an extremely rich phase diagram with multiple competing ground state phases stabilized in different parameter regimes. With that in mind and following previous studies on similar models[88,23,99], we explore the ground state phase diagram of this model with variational calculations and find out the parameters space where chiral spin phases are stabilized. Next step would be to find the stability of these states against thermal fluctuations which we carry out in the next two Chapters using MC simulations.…”

mentioning

confidence: 99%

“…At the end phase diagram is obtained by mapping ground state energy versus µ curve on n e versus µ curve. The phase separation region is characterized by a jump of n e because in this region the system is not stable and does not have a fixed number density [88,23,99].…”

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confidence: 99%

Chiral spin textures in a frustrated kondo lattice model

Shahzad¹

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Strongly correlated electron systems in which there exists a subtle interplay between spin and charge degrees of freedom give rise to many novel and exotic phases.In these spin-charge coupled systems the itinerant electrons and localized moments affect each other in a self-consistent way. The magnetic interaction between the spins is mediated by the motion of electrons; on the other hand, the transport of these electrons is affected by the underlying spin textures. These systems when arranged on geometrically frustrated lattices stabilize topologically non-trivial chiral configurations of localized spins that drive unconventional transport phenomenon such as topological or geometrical Hall effect. The Shastry-Sutherland model with appropriate generalization is an excellent framework to study the interplay between charge and spin degrees of freedom on a frustrated geometry. Furthermore, such a model is directly relevant in understanding the transport of rare earth tetraborides -a family of metallic quantum magnets with underlying magnetic Shastry-Sutherland lattice. We investigate Shastry-Sutherland Kondo lattice model (SS-KLM) extensively in different parameter regimes for the ground state phases with unique topological properties using a suite of numerical methods. To reduce finite-size effects we have implemented two Pinaki Sengupta for his continuous support and guidance throughout my Ph.D. study on and off the field. He always welcomed me and assisted me whenever I went to his office with a problem I was wrestling with. He has encouraged and inspired me to become an independent researcher and developed my critical thinking. He not only mentored me on my research field but also on daily and social life matters. I am also thankful to him for being so flexible and allowing me to work in late-night hours.I would also like to thank Prof. Christos Panagopoulos and Prof. Su Haibin for being my thesis advisory committee members. It is a pleasure to thank Gonzalo Alvarez and Yasuyuki Kato for useful discussions on the development of the numerical method. I acknowledge the assistance provided to me by current and ex-members of our group including Keola Wierschem, Zhifeng Zhang, Png Kee Seng, Ong Teng Siang Ernest, Dhiman Bhowmick and in particular Rakesh Kumar. I want to say thanks to my friends Shampy Mansha, Sourav Mitra, Bhartendu Satywali for making my stay at NTU memorable and for all the discussions that we had on chai. Most importantly, I am grateful to my whole family and fiancée Mahumm Ghaffar for their endless pa-vii tience, constant support and unconditional love all the way long. I appreciate it a lot and love you all!!!

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Ground-state phase diagram of the Kondo lattice model on triangular-to-kagome lattices

Cited by 10 publications

References 9 publications

Spiral magnetism and chiral superconductivity in Kondo-Hubbard triangular lattice model

Spiral magnetism and chiral superconductivity in Kondo-Hubbard triangular lattice model

Phase diagram of the Shastry-Sutherland Kondo lattice model with classical localized spins: a variational calculation study

Chiral spin textures in a frustrated kondo lattice model

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