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We present a study of the thermal Hall effect in the extended Heisenberg model with $XXZ$ anisotropy in the kagome lattice. This model has the particularity that, in the classical case, and for a broad region in parameter space, an external…

Strongly Correlated Electrons · Physics 2021-02-03 F. A. Gómez Albarracín , H. D. Rosales , Pierre Pujol

At low temperatures, the thermal conductivity of spin excitations in a magnetic insulator can exceed that of phonons. However, because they are charge neutral, the spin waves are not expected to display a thermal Hall effect in a magnetic…

Strongly Correlated Electrons · Physics 2015-09-09 Max Hirschberger , Robin Chisnell , Young S. Lee , N. P. Ong

Thermal Hall transport has emerged as a valuable tool for probing the fractionalized excitations in chiral quantum spin liquids. Observing quantized thermal Hall response, expected at temperatures below the spectral gap, has been…

Strongly Correlated Electrons · Physics 2025-07-01 Avijit Maity , Haoyu Guo , Subir Sachdev , Vikram Tripathi

The thermal Hall effect in magnetic insulators has been considered a powerful method for examining the topological nature of charge-neutral quasiparticles such as magnons. Yet, unlike the kagome system, the triangular lattice has received…

A two-dimensional kagome lattice is theoretically investigated within a simple tight-binding model, which includes the nearest neighbor hopping term and the intrinsic spin-orbit interaction between the next nearest neighbors. By using the…

Mesoscale and Nanoscale Physics · Physics 2011-08-03 Zhigang Wang , Ping Zhang

Topological magnetic insulators host chiral gapless edge modes. In the presence of strong interaction effects, the spin of these modes may fractionalize. Studying a 2D array of coupled insulating spin-1/2 chains, we show how spatially…

Strongly Correlated Electrons · Physics 2025-01-03 Even Thingstad , Pierre Fromholz , Flavio Ronetti , Daniel Loss , Jelena Klinovaja

We numerically study the interacting quantum Hall skyrmion system based on the Chern-Simons action. By noticing that the action is invariant under global spin rotations in the spin space with respect to the magnetic field direction, we…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 K. Moon , K. Mullen

A clear thermal Hall signal ($\kappa_{xy}$) was observed in the spin liquid phase of the $S=1/2$ kagom\'e antiferromagnet Ca kapellasite (CaCu$_3$(OH)$_6$Cl$_2\cdot 0.6$H$_2$O). We found that $\kappa_{xy}$ is well reproduced, both…

We study the quantum phases of spinless fermion at one-third filling on a Kagome lattice featuring a quadratic band touching Fermi point. In the presence of weak first and second nearest-neighbor repulsive interactions ($V_1$ and $V_2$), we…

Strongly Correlated Electrons · Physics 2018-12-05 Yafei Ren , T. -S. Zeng , W. Zhu , D. N. Sheng

Quite recently, magnon Hall effect of spin excitations has been observed experimentally on the kagome and pyrochlore lattices. Thermal Hall conductivity $\kappa^{xy}$, changes sign as a function of magnetic field or temperature on the…

Strongly Correlated Electrons · Physics 2016-07-26 S. A. Owerre

The study of electronic and magnetic properties of kagome lattice has been an active research area searching for topological phases of matters. In particular, the kagome system with transition metal stannides and etc exhibit interesting…

Strongly Correlated Electrons · Physics 2020-10-21 Hee Seung Kim , Archana Mishra , SungBin Lee

We investigate the spin-$\frac{1}{2}$ antiferromagnetic Heisenberg model with a Dzyaloshinskii-Moriya interaction on kagome lattice, making use of the variational Monte Carlo technique. An exotic quantum spin state is found to arise from a…

Strongly Correlated Electrons · Physics 2024-09-16 Li-Wei He , Jian-Xin Li

The thermal Hall effect recently provided intriguing probes to the ground state of exotic quantum matters. These observations of transverse thermal Hall signals lead to the debate on the fermionic versus bosonic origins of these phenomena.…

Strongly Correlated Electrons · Physics 2024-09-10 Dechen Zhang , Kuan-Wen Chen , Guoxin Zheng , Fanghang Yu , Mengzhu Shi , Yuan Zhu , Aaron Chan , Kaila Jenkins , Jianjun Ying , Ziji Xiang , Xianhui Chen , Lu Li

Motivated by recent transport measurements in high-$T_c$ cuprate superconductors in a magnetic field, we study the thermal Hall conductivity in materials with topological order, focusing on the contribution from neutral spinons.…

Strongly Correlated Electrons · Physics 2019-04-24 Rhine Samajdar , Shubhayu Chatterjee , Subir Sachdev , Mathias S. Scheurer

Inspired by the recent discovery of a new instability towards a chiral phase of the classical Heisenberg model on the kagome lattice, we propose a specific chiral spin liquid that reconciles different, well-established results concerning…

Strongly Correlated Electrons · Physics 2012-06-06 Laura Messio , Bernard Bernu , Claire Lhuillier

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

The topological quantum spin liquids (SL) and the nature of quantum phase transitions between them have attracted intensive attentions for the past twenty years. The extended kagome spin-1/2 antiferromagnet emerges as the primary candidate…

Strongly Correlated Electrons · Physics 2015-08-05 W. Zhu , S. S. Gong , D. N. Sheng

Recent theoretical studies have found quantum spin liquid states with spinon Fermi surfaces upon the application of a magnetic field on a gapped state with topological order. We investigate the thermal Hall conductivity across this…

Strongly Correlated Electrons · Physics 2020-08-26 Yanting Teng , Yunchao Zhang , Rhine Samajdar , Mathias S. Scheurer , Subir Sachdev

Using a two-dimensional square lattice Heisenberg model with a Rashba-type Dzyaloshinskii-Moriya interaction, we demonstrate that chiral spin fluctuations can give rise to a thermal Hall effect in the absence of any static spin texture or…

Mesoscale and Nanoscale Physics · Physics 2021-06-23 Caitlin Carnahan , Yinhan Zhang , Di Xiao

Magnetic Weyl semimetals (mWSMs) are characterized by linearly dispersive bands with chiral Weyl node pairs associated with broken time reversal symmetry. One of the hallmarks of mWSMs is the emergence of large intrinsic anomalous Hall…

Mesoscale and Nanoscale Physics · Physics 2022-03-07 Yong-Chang Lau , Junya Ikeda , Kohei Fujiwara , Akihiro Ozawa , Takeshi Seki , Kentaro Nomura , Atsushi Tsukazaki , Koki Takanashi
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