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The nature of the effective spin Hamiltonian and magnetic order in the honeycomb iridates is explored by considering a trigonal crystal field effect and spin-orbit coupling. Starting from a Hubbard model, an effective spin Hamiltonian is…

Strongly Correlated Electrons · Physics 2012-07-10 Subhro Bhattacharjee , Sung-Sik Lee , Yong Baek Kim

We analyse the antiferromagnetic spin-$1/2$ XXZ model on the kagome lattice at finite external magnetic field with the help of a nonperturbative zero-temperature renormalization group (RG) technique. Following the work of Kumar \emph{et al}…

Strongly Correlated Electrons · Physics 2019-09-30 Santanu Pal , Anirban Mukherjee , Siddhartha Lal

We show that a classical spin liquid phase can emerge from an ordered magnetic state in the two-dimensional frustrated Shastry-Sutherland Ising lattice due to lateral confinement. Two distinct classical spin liquid states are stabilized (i)…

Statistical Mechanics · Physics 2023-10-11 Pratik Brahma , Sayeef Salahuddin

The Fermionic Chern-Simons approach has had remarkable success in the description of quantum Hall states at even denominator filling fractions $\nu=\frac{1}{2m}$. In this paper we review a number of recent works concerned with modeling this…

Condensed Matter · Physics 2009-10-28 Steven H. Simon

A complicating factor in the realization and observation of quantum spin liquids in materials is the ubiquitous presence of other degrees of freedom, in particular lattice distortion modes (phonons). These provide additional routes for…

Strongly Correlated Electrons · Physics 2024-08-20 Urban F. P. Seifert , Josef Willsher , Markus Drescher , Frank Pollmann , Johannes Knolle

Finding distinct signatures of a quantum spin liquid (QSL) is an ongoing quest in condensed matter physics, invariably complicated by the presence of disorder in real materials. In this regard the 2D Kagome system…

Strongly Correlated Electrons · Physics 2024-01-22 B. S. Shivaram , J. Prestigiacomo , Aini Xu , Zhenyuan Zeng , Trevor D. Ford , Itamar Kimchi , Shiliang Li , Patrick A. Lee

We study the nearest neighbor $XXZ$ Heisenberg quantum antiferromagnet on the kagome lattice. Here we consider the effects of several perturbations: a) a chirality term, b) a Dzyaloshinski-Moriya term, and c) a ring-exchange type term on…

Strongly Correlated Electrons · Physics 2015-10-02 Krishna Kumar , Kai Sun , Eduardo Fradkin

Dirac semimetals provide a new platform for the quantum Hall effect at low magnetic fields. In the presence of strong spin-orbit coupling, a spin-split Landau level is expected to enhance the bulk quasiparticle excitation. Here we report…

Strongly Correlated Electrons · Physics 2026-03-02 Masashi Kumazaki , Azimjon Temurjonov , Yukihiro Watanabe , Taku Matsuhita , Yoshiaki Kobayashi , Yasuhiro Shimizu

To capture the high-field magnetization process of herbertsmithite (ZnCu3(OH)6Cl2), Faraday rotation (FR) measurements were carried out on a single crystal in magnetic fields of up to 190 T. The magnetization data evaluated from the FR…

Strongly Correlated Electrons · Physics 2020-09-29 Ryutaro Okuma , Daisuke Nakamura , Shojiro Takeyama

The quantum spin liquid material herbertsmithite is described by an antiferromagnetic Heisenberg model on the kagome lattice with non-negligible Dzyaloshinskii-Moriya interaction~(DMI). A well established phase transition to the $\mathbf…

Strongly Correlated Electrons · Physics 2017-07-04 Laura Messio , Samuel Bieri , Claire Lhuillier , Bernard Bernu

We investigate the ground-state phase diagram for the ferromagnetic Kondo lattice model on a triangular lattice by a variational calculation for various spin orderings up to a four-site unit cell. We find that a noncoplanar four-sublattice…

Strongly Correlated Electrons · Physics 2010-08-19 Yutaka Akagi , Yukitoshi Motome

The spin-1/2 Heisenberg model on the pyrochlore lattice is an iconic frustrated three-dimensional spin system with a rich phase diagram. Besides hosting several ordered phases, the model is debated to possess a spin-liquid ground state when…

Strongly Correlated Electrons · Physics 2021-11-16 Nikita Astrakhantsev , Tom Westerhout , Apoorv Tiwari , Kenny Choo , Ao Chen , Mark H. Fischer , Giuseppe Carleo , Titus Neupert

We investigate the effect of spin-lattice coupling (SLC) on the magnetic properties of the classical kagome-lattice Heisenberg antiferromagnet (KHAF) using improved Monte Carlo updates. The lattice modes are represented by Einstein site…

Strongly Correlated Electrons · Physics 2022-05-24 Masaki Gen , Hidemaro Suwa

Spin-1/2 kagome antiferromagnet (AFM) is one of the most studied models in frustrated magnetism since it is a promising candidate to host exotic spin liquid states. However, despite numerous studies using both analytical and numerical…

Strongly Correlated Electrons · Physics 2025-03-11 Tanja Duric , Jia Hui Chung , Bo Yang , Pinaki Sengupta

A linear spin-wave approach, a variational method and exact diagonlization are used to investigate the magnetic long-range order (LRO) of the spin-1/2 Heisenberg antiferromagnet on a two-dimensional 1/7-depleted triangular (maple leaf)…

Strongly Correlated Electrons · Physics 2009-11-07 D. Schmalfuss , P. Tomczak , J. Schulenburg , J. Richter

It is shown that the semimetallic state of the two-dimensional honeycomb lattice with a point-like Fermi surface is unstable towards a canted antiferromagnetic insulator upon application of an in-plane magnetic field. This instability is…

Strongly Correlated Electrons · Physics 2009-07-16 M. Bercx , T. C. Lang , F. F. Assaad

We investigate the spin-$\frac{1}{2}$ Heisenberg model on the triangular lattice in the presence of nearest-neighbor $J_1$ and next-nearest-neighbor $J_2$ antiferromagnetic couplings. Motivated by recent findings from density-matrix…

Strongly Correlated Electrons · Physics 2016-04-12 Yasir Iqbal , Wen-Jun Hu , Ronny Thomale , Didier Poilblanc , Federico Becca

Ordered states for a classical Heisenberg model on fcc lattice structure with ABC stacked kagome planes of magnetic ions are investigated by numerically solving the Landau-Lifshitz (LL) equation. Both the nearest-neighbor exchange…

Statistical Mechanics · Physics 2024-07-31 Terufumi Yokota

We perform mean-field study of possible magnetic instabilities in Dirac semimetals. We find that Dirac electrons naturally host antiferromagnetic or spin density wave ground states, though their specific configurations may vary depending on…

Strongly Correlated Electrons · Physics 2020-09-23 Grigory Bednik

The ground state of the S=1/2 Heisenberg antiferromagnet on the pyrochlore lattice is theoretically investigated. Starting from the limit of isolated tetrahedra, I include interactions between the tetrahedra and obtain an effective model…

Strongly Correlated Electrons · Physics 2009-11-07 Hirokazu Tsunetsugu
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