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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

Massless Dirac fermions occur as low-energy modes in several quasi-two-dimensional condensed matter systems such as graphene, the surface of bulk topological insulators, and in layered organic semiconductors. When the rotational symmetry in…

Mesoscale and Nanoscale Physics · Physics 2015-07-27 Judit Sári , Mark O. Goerbig , Csaba Toke

We consider Z2 spin liquids on the kagome lattice on the verge of a valence bond solid (VBS) transition, where vortex excitations carrying Z2 magnetic flux - so-called visons - condense. We show that these vison excitations can couple…

Strongly Correlated Electrons · Physics 2013-07-03 Yejin Huh , Matthias Punk , Subir Sachdev

We show that the optical spin conductivity being a small AC response of a bulk spin current and elusive in condensed matter systems can be measured in ultracold atoms. We demonstrate that this conductivity contains rich information on…

Quantum Gases · Physics 2022-10-14 Yuta Sekino , Hiroyuki Tajima , Shun Uchino

We investigate the optical properties in a minimal model of spin-orbit coupled systems on honeycomb lattice at half-filling. The absorption of the circularly polarized light in the charge and antiferromagnetic ordered states is particularly…

Strongly Correlated Electrons · Physics 2017-08-02 Yuki Yanagi , Hiroaki Kusunose

The frequency-dependent conductivity is studied for both the one-dimensional Hubbard model and a model of spinless fermions, using a selection rule, the Bethe ansatz energy eigenstates, and conformal invariance. For densities where the…

Condensed Matter · Physics 2007-05-23 J. M. P. Carmelo , P. D. Sacramento , N. M. R. Peres , D. Baeriswyl

Topological phase engineering of neutral bosons loaded in an optical lattice opens a new window for manipulating of transport phenomena in such systems. Exploiting the Bose Hubbard model and using the magnetic Kubo formula proposed in this…

Quantum Gases · Physics 2015-01-23 A. S. Sajna , T. P. Polak , R. Micnas

The electrodynamic response of organic spin liquids with highly-frustrated triangular lattices has been measured in a wide energy range. While the overall optical spectra of these Mott insulators are governed by transitions between the…

Strongly Correlated Electrons · Physics 2018-08-09 A. Pustogow , Y. Saito , E. Zhukova , B. Gorshunov , R. Kato , T. -H. Lee , S. Fratini , V. Dobrosavljević , M. Dressel

Moir\'e superlattices are emerging as a new route for engineering strongly correlated electronic states in two-dimensional van der Waals heterostructures, as recently demonstrated in the correlated insulating and superconducting states in…

We report 17O NMR measurements in the S=1/2 Cu2+ kagome antiferromagnet Herbertsmithite ZnCu3(OH)6Cl2 down to 45mK in magnetic fields ranging from 2T to 12T. While Herbertsmithite displays a gapless spin-liquid behavior in zero field, we…

Strongly Correlated Electrons · Physics 2013-09-09 M. Jeong , F. Bert , P. Mendels , F. Duc , J. C. Trombe , M. A. de Vries , A. Harrison

By combining the density matrix renormalization group (DMRG) method with Gutzwiller projected wave functions, we study the SU(4) symmetric spin-orbital model on the honeycomb lattice. We find that the ground states can be well described by…

Strongly Correlated Electrons · Physics 2023-05-10 Hui-Ke Jin , W. M. H. Natori , Johannes Knolle

Within the framework of the fermion-spin theory, the charge transport in the doped Mott insulators on a honeycomb lattice is studied by taking into account the pseudogap effect. It is shown that the conductivity spectrum in the low-doped…

Superconductivity · Physics 2016-05-04 Xixiao Ma , Yu Lan , Ling Qin , Shiping Feng

The frequency-dependent conductivity is studied for the one-dimensional Hubbard model, using a selection rule, the Bethe ansatz, and symmetries associated with conservation laws. For densities where the system is metallic the absorption…

Strongly Correlated Electrons · Physics 2009-10-31 J. M. P. Carmelo , N. M. R. Peres , P. D. Sacramento

We report variational Monte Carlo calculations for the spin-$\frac{1}{2}$ Heisenberg model on the kagome lattice in the presence of both nearest-neighbor $J_1$ and next-nearest-neighbor $J_2$ antiferromagnetic superexchange couplings. Our…

Strongly Correlated Electrons · Physics 2015-01-13 Yasir Iqbal , Didier Poilblanc , Federico Becca

Using finite-temperature diagonalization we investigate the optical conductivity $\sigma(\omega)$ and spin-orbital dynamics in the CE phase of half-doped manganites. We find $\sigma(\omega)$ characterized by a broad spectrum with pronounced…

Strongly Correlated Electrons · Physics 2009-11-11 Jan Bala , Peter Horsch

We present a lattice field theory of spins coupled to Dirac fermions, as a model for the doped copper oxide compounds. Both the fermionic and spin degrees of freedom are treated dynamically. The influence of the charge carriers on the…

Superconductivity · Physics 2007-05-23 J. L. Alonso , Ph. Boucaud , V. Martin-Mayor , A. J. van der Sijs

Dirac spin liquids represent a class of highly-entangled quantum phases in two dimensional Mott insulators, featuring exotic properties such as critical correlation functions and absence of well-defined low energy quasi-particles. Existing…

Strongly Correlated Electrons · Physics 2021-03-30 Vladimir Calvera , Chong Wang

In this paper we study the optical properties of $U(1)$ spin liquids with large spinon Fermi surfaces based on a simple formula for the bulk optical conductivity obtained through the Ioffe-Larkin composition rule. We show that the optical…

Strongly Correlated Electrons · Physics 2015-03-20 Yuan-Fei Ma , Tai-Kai Ng

We formulate a U(1) gauge theory of the Hubbard model in the slave-rotor representation. From this formalism it is argued that spin liquid phases may exist near the Mott transition in the Hubbard model on triangular and honeycomb lattices…

Strongly Correlated Electrons · Physics 2007-05-23 Sung-Sik Lee , Patrick A. Lee

Although spin is a fundamental quantum number, measuring spin transport in traditional solid state systems is extremely challenging. This poses a major obstacle to detecting interesting quantum states including certain spin liquids. In this…

Strongly Correlated Electrons · Physics 2020-05-28 Ya-Hui Zhang , Ashvin Vishwanath