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We consider a generalization of the XXZ model on the sawtooth spin chain with Dzyaloshinskii-Moriya interactions in which all exchange constants (symmetric, antisymmetric, and axial anisotropy) are different for the three different bonds of…

We investigate flat magnonic bands in a generalized sawtooth-chain model in which three sets of exchange parameters (symmetric Heisenberg exchange, axial Ising anisotropy, and antisymmetric Dzyaloshinskii-Moriya (DM) exchange) are assigned…

强关联电子 · 物理学 2026-04-23 Vadim Ohanyan , Lusik Amiraghyan , Michael Sekania , Marcus Kollar

Using the example of the sawtooth chain, we argue that the t-J model shares important features with the Hubbard model on highly frustrated lattices. The lowest single-fermion band is completely flat (for a specific choice of the hopping…

强关联电子 · 物理学 2008-05-09 A. Honecker , J. Richter

We consider the strongly anisotropic spin-1/2 $XXZ$ model on the sawtooth-chain lattice with ferromagnetic longitudinal interaction $J^{zz}=\Delta J$ and aniferromagnetic transversal interaction $J^{xx}=J^{yy}=J>0$. At $\Delta=-1/2$ the…

强关联电子 · 物理学 2020-08-25 Oleg Derzhko , Jürgen Schnack , D. V. Dmitriev , V. Ya. Krivnov , Johannes Richter

It has long been speculated that electronic flat band systems can be a fertile ground for hosting novel emergent phenomena including unconventional magnetism and superconductivity. Although flat bands are known to exist in a few systems…

In contrast to strongly frustrated classical systems, their quantum counterparts typically have a non-degenerate ground state. A counterexample is the celebrated Heisenberg sawtooth spin chain with ferromagnetic zigzag bonds $J_1$ and…

强关联电子 · 物理学 2021-01-19 J. Richter , J. Schulenburg , D. V. Dmitriev , V. Ya. Krivnov , J. Schnack

We study the low-energy properties of a sawtooth chain with spin-1's at the bases of the triangles and spin-1/2's at the vertices of the triangles. The spins have Heisenberg antiferromagnetic interactions between nearest neighbors, with a…

强关联电子 · 物理学 2009-11-10 V. Ravi Chandra , Diptiman Sen , N. B. Ivanov , J. Richter

We study the low-energy properties and, in particular, the magnetization process of a spin-1/2 Heisenberg $J_1-J_2$ sawtooth and frustrated chain (also known as zig-zag ladder) with a spatially anisotropic $g$-factor. We treat the problem…

强关联电子 · 物理学 2020-07-01 Alexandros Metavitsiadis , Christina Psaroudaki , Wolfram Brenig

Over the past years, one witnesses a growing interest in flat band (FB) physics which has become a playground for exotic phenomena. In this study, we address the FB superconductivity in onedimensional stub chain. In contrast to the sawtooth…

超导电性 · 物理学 2023-09-21 Maxime Thumin , Georges Bouzerar

In this review we recapitulate the basic features of the flat-band spin systems and briefly summarize earlier studies in the field. Main emphasis is made on recent developments which include results for both spin and electron flat-band…

强关联电子 · 物理学 2015-05-15 Oleg Derzhko , Johannes Richter , Mykola Maksymenko

We study the zero-temperature phase diagram and the low-energy excitations of a mixed-spin ($S_1>S_2$) $J_1-J_2$ Heisenberg model defined on a square lattice by using a spin-wave analysis, the coupled cluster method, and the Lanczos…

强关联电子 · 物理学 2009-11-07 N. B. Ivanov , J. Richter , D. J. J. Farnell

Two ubiquitous features of frustrated spin systems stand out: massive degeneracy of their ground states and flat, or dispersionless, excitation branches. In real materials, the former is frequently lifted by secondary interactions or…

强关联电子 · 物理学 2015-09-09 A. L. Chernyshev

Fermion systems with flat bands can boost superconductivity by enhancing the density of states at the Fermi level. We use quasiexact numerical methods to show that repulsive interactions between spinless fermions in a one-dimensional (1D)…

强关联电子 · 物理学 2022-10-12 Iman Mahyaeh , Thomas Köhler , Annica M. Black-Schaffer , Adrian Kantian

Motivated by recent theoretical and experimental studies on the role of flatbands in the thermoelectric properties of Ni$_3$In$_{1-x}$Sn$_x$ compounds, we investigate electron transport in two minimal one-dimensional flatband models, the…

材料科学 · 物理学 2026-04-20 F. Cosco , R. Tuovinen , F. Plastina , N. Lo Gullo

Recent ultracold atomic gas experiments implementing synthetic spin-orbit coupling allow access to flatbands that emphasize interactions. We model spin-orbit coupled fermions in a one-dimensional flatband optical lattice. We introduce an…

量子气体 · 物理学 2014-06-10 Fei Lin , Chuanwei Zhang , V. W. Scarola

Electrons in condensed matter may transition into a variety of broken-symmetry phase states due to electron-electron interactions. Applying diverse mean-field approximations to the interaction term is arguably the simplest way to identify…

强关联电子 · 物理学 2024-06-17 Maxim Trushin , Liangtao Peng , Gargee Sharma , Giovanni Vignale , Shaffique Adam

High energy resolution spectroscopic studies of quantum magnets have proven to be extremely valuable in directly accessing magnetodynamics quantities, such as energy barriers, magnetic interactions, lifetime of excited states and…

介观与纳米尺度物理 · 物理学 2022-02-17 Sascha Brinker , Felix Küster , Stuart S. P. Parkin , Paolo Sessi , Samir Lounis

The exact elementary excitations in a typical U(1) symmetry broken quantum integrable system, that is the twisted J1-J2 spin chain with nearest-neighbor, next nearest neighbor and chiral three spin interactions, are studied. The main…

数学物理 · 物理学 2023-03-13 Wei Wang , Yi Qiao , Rong-Hua Liu , Wu-Ming Liu , Junpeng Cao

We proposed a theory of quantum anomalous Hall effect in a flat-band ferromagnet on a two-dimensional (2D) decorated lattice with spin-orbit coupling. Free electrons on the lattice have dispersionless flat bands, and the ground state is…

介观与纳米尺度物理 · 物理学 2012-02-28 An Zhao , Shun-Qing Shen

Flat-band systems are highly sensitive to external perturbations, providing a route to study unconventional localization, transport, and spin physics. Lieb lattice, a two-dimensional geometry with an inherent flat band, exemplifies this…

量子气体 · 物理学 2025-08-29 Nana Chang , Xiaoji Zhou
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