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The long search for insulating materials that possess low-energy quasiparticles carrying electron's quantum numbers except charge - inspired by the neutral spin-1/2 excitations, the so-called spinons, exhibited by Anderson's…

Strongly Correlated Electrons · Physics 2023-04-26 Michele Fabrizio

Motivated by the recent synthesis of $\beta$-Li$_2$IrO$_3$ -- a spin-orbit entangled $j=1/2$ Mott insulator with a three-dimensional lattice structure of the Ir$^{4+}$ ions -- we consider generalizations of the Kitaev model believed to…

Strongly Correlated Electrons · Physics 2014-06-03 M. Hermanns , S. Trebst

The Mott metal-insulator transition-a drastic manifestations of Coulomb interactions among electrons-is the first-order transition of clear discontinuity, as shown by various experiments and the celebrated dynamical mean-field theory.…

Strongly Correlated Electrons · Physics 2018-03-01 Tetsuya Furukawa , Kazuhiko Kobashi , Yosuke Kurosaki , Kazuya Miyagawa , Kazushi Kanoda

We study an exactly solvable quantum spin model of Kitaev type on the kagome lattice. We find a rich phase diagram which includes a topological (gapped) chiral spin liquid with gapless chiral edge states, and a gapless chiral spin liquid…

Strongly Correlated Electrons · Physics 2015-03-17 Victor Chua , Hong Yao , Gregory A. Fiete

A quantum spin liquid is an exotic quantum state of matter in which spins are highly entangled and remain disordered down to zero temperature. Such a state of matter is potentially relevant to high-temperature superconductivity and…

More than half a century after first being proposed by Sir Nevill Mott, the deceptively simple question of whether the interaction-driven electronic metal-insulator transition may be continuous remains enigmatic. Recent experiments on…

Strongly Correlated Electrons · Physics 2015-06-30 Ryan V. Mishmash , Ivan Gonzalez , Roger G. Melko , Olexei I. Motrunich , Matthew P. A. Fisher

Recent experiments indicate that Na$_4$Ir$_3$O$_8$, a material in which s=1/2 iridium local moments form a three dimensional network of corner-sharing triangles, may have a quantum spin liquid ground state with gapless spin excitations.…

Strongly Correlated Electrons · Physics 2009-11-13 Michael Lawler , Arun Paramekanti , Yong Baek Kim , Leon Balents

We have proposed an exactly solvable quantum spin-3/2 model on a square lattice. Its ground state is a quantum spin liquid with a half integer spin per unit cell. The fermionic excitations are gapless with a linear dispersion, while the…

Strongly Correlated Electrons · Physics 2015-05-13 Hong Yao , Shou-Cheng Zhang , Steven A. Kivelson

Three-dimensional (3D) variants of the Kitaev model can harbor gapless spin liquids with a Majorana Fermi surface on certain tricoordinated lattice structures such as the recently introduced hyperoctagon lattice. Here we investigate Fermi…

Strongly Correlated Electrons · Physics 2015-10-26 Maria Hermanns , Simon Trebst , Achim Rosch

Systematic pressure- and temperature-dependent infrared studies on the two-dimensional organic quantum spin-liquid $\beta^{\prime}$-EtMe$_3$Sb[Pd(dmit)$_2$]$_2$ disclose the electronic and lattice evolution across the Mott insulator-metal…

Strongly Correlated Electrons · Physics 2019-03-27 Weiwu Li , Andrej Pustogow , Reizo Kato , Martin Dressel

The search for a Fermi surface in the absence of a conventional Fermi liquid has thus far yielded very few potential candidates. Among promising materials are spin-frustrated Mott insulators near the insulator-metal transition, where theory…

We study an exactly solvable model with bond-directional quadrupolar and octupolar interactions between spin-orbital entangled $j_{\mathrm{eff}} = \frac{3}{2}$ moments on the honeycomb lattice. We show that this model features a multipolar…

Strongly Correlated Electrons · Physics 2023-10-17 Vanuildo S. de Carvalho , Hermann Freire , Rodrigo G. Pereira

We study triangular lattice spin-1/2 system with antiferromagnetic Heisenberg and ring exchanges using variational approach focusing on possible realization of spin liquid states. Trial spin liquid wave functions are obtained by Gutzwiller…

Strongly Correlated Electrons · Physics 2009-11-10 Olexei I. Motrunich

A decade ago, Alexei Kitaev proposed an exactly solvable $S$ = 1/2 model on a two-dimensional honeycomb lattice, where the spins fractionalize into Majorana fermions and form a topological quantum spin liquid (QSL) in the ground state. It…

Strongly Correlated Electrons · Physics 2022-01-21 Hidenori Takagi , Tomohiro Takayama , George Jackeli , Giniyat Khaliullin , Stephen E. Nagler

We examine a two-dimensional Fermi liquid with a Fermi surface which touches the Umklapp surface first at the 4 points $(\pm \pi/2, \pm \pi/2)$ as the electron density is increased. Umklapp processes at the 4 patches near $(\pm \pi/2,…

Strongly Correlated Electrons · Physics 2009-10-31 N. Furukawa , T. M. Rice

We present the quantum critical theory of an interacting nodal Fermi-liquid of quasi-relativisitc pseudo-spin-3/2 fermions that have a non-interacting birefringent spectrum with two distinct Fermi velocities. When such quasiparticles…

Mesoscale and Nanoscale Physics · Physics 2018-10-15 Bitan Roy , Malcolm P. Kennett , Kun Yang , Vladimir Juricic

This article is an introductory review of the physics of quantum spin liquid (QSL) states. Quantum magnetism is a rapidly evolving field, and recent developments reveal that the ground states and low-energy physics of frustrated spin…

Strongly Correlated Electrons · Physics 2017-04-21 Yi Zhou , Kazushi Kanoda , Tai-Kai Ng

For certain crystalline systems, most notably the organic compound EtMe3Sb[Pd(dmit)2]2, experimental evidence has accumulated of an insulating state with a high density of gapless neutral excitations that produce Fermi-liquid-like power…

Strongly Correlated Electrons · Physics 2013-04-09 Maissam Barkeshli , Hong Yao , Steven A. Kivelson

We construct an exactly solvable spin-orbital model on a decorated square lattice that realizes an SU(2)-invariant Majorana spin liquid with parton Fermi surfaces, of the kind discussed recently by Biswas et al. [ Phys. Rev. B. {\bf 83},…

Strongly Correlated Electrons · Physics 2011-09-29 Hsin-Hua Lai , Olexei I. Motrunich

Presenting exact solutions for the two dimensional periodic Anderson model with finite and nonzero on-site interaction U>0, we are describing a rigorous non-Fermi liquid phase in normal phase and 2D. This new state emerges in multi-band…

Strongly Correlated Electrons · Physics 2009-11-07 Peter Gurin , Zsolt Gulacsi
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