Kinetic magnetism at the interface between Mott and band insulators

Iaconis, Jason; Ishizuka, Hiroaki

doi:10.1103/physrevb.93.155144

Cited by 4 publications

(4 citation statements)

References 38 publications

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“…For very thin quantum wells, the Ti-O-Ti bond angle distortions were previously found to appear also in the SrTiO 3 quantum well 30,39,42,43 , which may increase the effective mass and Hα below t cr . Theoretical and experimental studies also show that the magnetic order of the barrier couples into the itinerant electron system for sufficiently thin quantum wells 26,28,29,31,34 , which may also increase the effective mass 44 .…”

Section: Discussionmentioning

confidence: 98%

“…It is fixed by the polar discontinuity at the SrTiO 3 /SmTiO 3 interfaces 25 and thus independent of the quantum well thickness. The electron system in these quantum wells shows a number of correlation-induced 4 phenomena, such as magnetism, pseudogaps, and transitions to an insulating state, as the threedimensional carrier density is increased by decreasing the quantum well thickness 24,[26][27][28][29][30][31][32] .…”

Section: Introductionmentioning

confidence: 99%

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Disorder versus two transport lifetimes in a strongly correlated electron liquid

Marshall

Kim

Stemmer

2017

Sci Rep

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We report on angle-dependent measurements of the sheet resistances and Hall coefficients of electron liquids in SmTiO3/SrTiO3/SmTiO3 quantum well structures, which were grown by molecular beam epitaxy on (001) DyScO3. We compare their transport properties with those of similar structures grown on LSAT [(La0.3Sr0.7)(Al0.65Ta0.35)O3]. On DyScO3, planar defects normal to the quantum wells lead to a strong in-plane anisotropy in the transport properties. This allows for quantifying the role of defects in transport. In particular, we investigate differences in the longitudinal and Hall scattering rates, which is a non-Fermi liquid phenomenon known as lifetime separation. The residuals in both the longitudinal resistance and Hall angle were found to depend on the relative orientations of the transport direction to the planar defects. The Hall angle exhibited a robust T 2 temperature dependence along all directions, whereas no simple power law could describe the temperature dependence of the longitudinal resistances. Remarkably, the degree of the carrier lifetime separation, as manifested in the distinctly different temperature dependences and diverging residuals near a critical quantum well thickness, was completely insensitive to disorder. The results allow for a clear distinction between disorder-induced contributions to the transport and intrinsic, non-Fermi liquid phenomena, which includes the lifetime separation.

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Section: Discussionmentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

Disorder versus two transport lifetimes in a strongly correlated electron liquid

Marshall

Kim

Stemmer

2017

Sci Rep

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“…However, tunable Feshbach resonances in ultracold atoms allow to reach such large U s, and, on the other hand, the generation of artificial gauge fields in triangular optical lattices 20 can induce frustrated motion. Other proposals involve artificial lattice of quantum dots 21 , and high-density twodimensional electron gas at the interface between Mott and band insulators 22 . All this opens the interesting possibility to test experimentally our proposals about kinetic magnetism.…”

Section: Discussionmentioning

confidence: 99%

Evolution of Nagaoka phase with kinetic energy frustrating hopping

et al. 2017

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We investigate, using the density matrix renormalization group, the evolution of the Nagaoka state with t hoppings that frustrate the hole kinetic energy in the U = ∞ Hubbard model on the anisotropic triangular lattice and the square lattice with second-nearest neighbor hoppings. We find that the Nagaoka ferromagnet survives up to a rather small t c /t ∼ 0.2. At this critical value, there is a transition to an antiferromagnetic phase, that depends on the lattice: a Q = (Q, 0) spiral order, that continuously evolves with t , for the triangular lattice, and the usual Q = (π, π) Néel order for the square lattice. Remarkably, the local magnetization takes its classical value for all considered t (t /t ≤ 1). Our results show that the recently found classical kinetic antiferromagnetism, a perfect counterpart of Nagaoka ferromagnetism, is a generic phenomenon in these kinetically frustrated electronic systems.

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“…Known theorems of itinerant FM include Nagaoka's theorem [4] and its various generalizations [5][6][7][8] and flat-band ferromagnetism [9,10]. Inspired by the orbital activity characterized by Hund's coupling in most FM metals, a set of theorems of itinerant FM in orbital band systems driven by Hund's coupling have been recently proven [7], identifying phases of FM with a large range of electron fillings and finite band width [11][12][13][14].…”

mentioning

confidence: 99%

Exact results on itinerant ferromagnetism and the 15-puzzle problem

Bobrow

Stubis

2018

Phys. Rev. B

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We apply a result from graph theory to prove exact results about itinerant ferromagnetism. Nagaoka's theorem of ferromagnetism is extended to all non-separable graphs except single polygons with more than four vertices by applying the solution to the generalized 15-puzzle problem, which studies whether the hole's motion can connect all possible tile configurations. This proves that the ground state of a U → ∞ Hubbard model with one hole away from the half filling on a 2D honeycomb lattice or a 3D diamond lattice is fully spin-polarized. Furthermore, the condition of connectivity for N -component fermions is presented, and Nagaoka's theorem is also generalized to SU (N )-symmetric fermion systems on non-separable graphs.

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Kinetic magnetism at the interface between Mott and band insulators

Cited by 4 publications

References 38 publications

Disorder versus two transport lifetimes in a strongly correlated electron liquid

Disorder versus two transport lifetimes in a strongly correlated electron liquid

Evolution of Nagaoka phase with kinetic energy frustrating hopping

Exact results on itinerant ferromagnetism and the 15-puzzle problem

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