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We study electron-electron Coulomb interactions in electronic systems whose Fermi surfaces possess a finite electric dipole density. Although there is no net dipole moment, we show that electric monopole-dipole interactions can become…

Superconductivity · Physics 2024-09-23 Grgur Palle , Jörg Schmalian

Synthetic spin-orbit coupling in ultracold atomic gases can be taken to extremes rarely found in solids. We study a two dimensional Hubbard model of bosons in an optical lattice in the presence of spin-orbit coupling strong enough to drive…

Quantum Gases · Physics 2017-11-21 Mi Yan , Yinyin Qian , Hoi-Yin Hui , Ming Gong , Chuanwei Zhang , Vito W. Scarola

We show that the spin liquid phase of the half-filled Hubbard model on the triangular lattice can be described by a pure spin model. This is based on a high-order strong coupling expansion (up to order 12) using perturbative continuous…

Strongly Correlated Electrons · Physics 2011-01-17 H-Y. Yang , A. Laeuchli , F. Mila , K. P. Schmidt

The quantum spin-1/2 antiferromagnetic Heisenberg model on a two dimensional triangular lattice geometry with spatial anisotropy is relevant to describe materials like ${\rm Cs_2 Cu Cl_4}$ and organic compounds like…

Strongly Correlated Electrons · Physics 2011-11-09 Seiji Yunoki , Sandro Sorella

We argue that a class of strongly spin-orbit coupled materials, including some pyrochlore iridates and the inverted band gap semiconductor HgTe, may be described by a minimal model consisting of the Luttinger Hamiltonian supplemented by…

Strongly Correlated Electrons · Physics 2013-11-20 Eun-Gook Moon , Cenke Xu , Yong Baek Kim , Leon Balents

Motivated by the continued interest in Fermi-surface reconstruction without symmetry breaking, we present an analytically tractable microscopic model of a fractionalized Fermi liquid (FL$^*$) on a square lattice and discuss its potential…

Strongly Correlated Electrons · Physics 2026-04-08 Piers Coleman , Elio J. König , Aaditya Panigrahi , Alexei Tsvelik

An unconventional superconducting phase is explored developing out of a non Fermi-liquid phase of the two-channel Anderson lattice model. It is characterized by a composite order parameter comprising of a local spin or orbital degree of…

Strongly Correlated Electrons · Physics 2009-11-07 Frithjof B. Anders

The quantum Heisenberg model is studied in the geometrically frustrated body-centered tetragonal lattice(BCT lattice) with antiferromagnetic interlayer coupling J1 and intralayer first and second neighbor coupling J2 and J3. We introduce a…

Strongly Correlated Electrons · Physics 2016-10-26 Sébastien Burdin , Christopher Thomas , Catherine Pépin , Alvaro Ferraz , Claudine Lacroix

We study the combined effects of spin-orbit interaction, magnetic field, and Coulomb charging on the Josephson current-phase relation, I(\varphi), for a multi-level quantum dot tunnel-contacted by two conventional s-wave superconductors…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 A. Brunetti , A. Zazunov , A. Kundu , R. Egger

A Fermi-liquid (FL) with spin-orbit coupling (SOC) supports a special type of collective modes--chiral spin waves--which are oscillations of magnetization even in the absence of the external magnetic field. We study the chiral spin waves of…

Mesoscale and Nanoscale Physics · Physics 2017-05-03 Abhishek Kumar , Dmitrii L. Maslov

We describe a mechanism for order fractionalization in a two-dimensional Kondo lattice model, in which electrons interact with a gapless spin liquid of Majorana fermions described by the Yao-Lee (YL) model. When the Kondo coupling to the…

Strongly Correlated Electrons · Physics 2022-10-11 Alexei M. Tsvelik , Piers Coleman

Fourth-order strong-coupling degenerate perturbation theory is used to derive an effective low-energy Hamiltonian for the Kondo-lattice model with a depleted system of localized spins. In the strong-J limit, completely local Kondo singlets…

Strongly Correlated Electrons · Physics 2015-02-26 Irakli Titvinidze , Andrej Schwabe , Michael Potthoff

Recent work shows that a quantum spin liquid can arise in realistic fermionic models on a honeycomb lattice. We study the quantum spin-1/2 Heisenberg honeycomb model, considering couplings J1, J2, and J3 up to third nearest neighbors. We…

Strongly Correlated Electrons · Physics 2015-05-27 Johannes Reuther , Dmitry Abanin , Ronny Thomale

We study a frustrated two-dimensional lattice spin model with Kitaev type interaction. The lattice is obtained from the honeycomb lattice by replacing half of its sites with triangles. Using the SO(3) Majorana representation of spin, the…

Strongly Correlated Electrons · Physics 2019-12-03 Jianlong Fu

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

Topological insulator phases of non-interacting particles have been generalized from periodic crystals to amorphous lattices, which raises the question whether topologically ordered quantum many-body phases may similarly exist in amorphous…

Strongly Correlated Electrons · Physics 2023-11-01 Gino Cassella , Peru D'Ornellas , Thomas Hodson , Willian M. H. Natori , Johannes Knolle

Kitaev's honeycomb-lattice compass model describes a spin liquid with emergent fractionalized excitations. Here we study the physics of isolated magnetic impurities coupled to the Kitaev spin-liquid host. We reformulate this Kondo-type…

Strongly Correlated Electrons · Physics 2016-07-14 Matthias Vojta , Andrew K. Mitchell , Fabian Zschocke

We theoretically study a spin Hamiltonian for spin-orbit-coupled ferromagnets on the honeycomb lattice. We find that the effective Hamiltonian for magnons, a quanta of spin-wave excitations from ordered states, is equivalent to the Haldane…

Mesoscale and Nanoscale Physics · Physics 2016-11-28 Se Kwon Kim , Héctor Ochoa , Ricardo Zarzuela , Yaroslav Tserkovnyak

Spin liquids represent exotic types of quantum matter that evade conventional symmetry-breaking order even at zero temperature. Exhaustive classifications of spin liquids have been carried out in several systems, particularly in the…

Strongly Correlated Electrons · Physics 2014-11-19 Johannes Reuther , Shu-Ping Lee , Jason Alicea

Motivated by recent experiments on the Kitaev honeycomb magnet $\alpha\text{-RuCl}_3$, we introduce time-domain probes of the edge and quasiparticle content of non-Abelian spin liquids. Our scheme exploits ancillary quantum spins that…

Strongly Correlated Electrons · Physics 2021-04-29 Kai Klocke , David Aasen , Roger S. K. Mong , Eugene A. Demler , Jason Alicea