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We address the problem of a magnetic impurity in a two dimensional $U(1)$ spin liquid where the spinons have gap-less excitations near the Fermi-surface and are coupled to an emergent gap-less gauge field. Using a large N expansion we…

Strongly Correlated Electrons · Physics 2015-05-20 P. Ribeiro , P. A. Lee

We introduce a novel geometrically frustrated classical Ising model, dubbed the "spin vorticity model", whose ground state manifold is a novel classical spin liquid, a "2-form Coulomb phase". We study the thermodynamics of this model both…

Strongly Correlated Electrons · Physics 2025-03-17 Kristian Tyn Kai Chung , Michel J. P. Gingras

Topological states of matter present a wide variety of striking new phenomena. Prominent among these is the fractionalisation of electrons into unusual particles: Majorana fermions [1], Laughlin quasiparticles [2] or magnetic monopoles [3].…

Strongly Correlated Electrons · Physics 2014-05-26 J. Knolle , D. L. Kovrizhin , J. T. Chalker , R. Moessner

We present a neural flow wavefunction, Gauge-Fermion FlowNet, and use it to simulate 2+1D lattice compact quantum electrodynamics with finite density dynamical fermions. The gauge field is represented by a neural network which parameterizes…

High Energy Physics - Lattice · Physics 2022-12-15 Zhuo Chen , Di Luo , Kaiwen Hu , Bryan K. Clark

We study theoretically the magnetoresistance oscillations near a half-filled lowest Landau level ($\nu = 1/2$) that result from the presence of a periodic one-dimensional electrostatic potential. We use the Dirac composite fermion theory of…

Strongly Correlated Electrons · Physics 2019-10-23 Amartya Mitra , Michael Mulligan

The Kitaev model with an applied magnetic field in the $H||[111]$ direction shows two transitions: from a non-abelian gapped quantum spin liquid (QSL) to a gapless QSL at $H_{c1} \simeq 0.2K$ and a second transition at a higher field…

Strongly Correlated Electrons · Physics 2019-06-11 Niravkumar D. Patel , Nandini Trivedi

Thanks to the development in quantum Monte Carlo technique, the compact U(1) lattice gauge theory coupled to fermionic matter at (2+1)D is now accessible with large-scale numerical simulations, and the ground state phase diagram as a…

Strongly Correlated Electrons · Physics 2019-08-21 Wei Wang , Da-Chuan Lu , Xiao Yan Xu , Yi-Zhuang You , Zi Yang Meng

In spatial dimensions d >= 2, Kondo lattice models of conduction and local moment electrons can exhibit a fractionalized, non-magnetic state (FL*) with a Fermi surface of sharp electron-like quasiparticles, enclosing a volume quantized by…

Strongly Correlated Electrons · Physics 2007-05-23 T. Senthil , Subir Sachdev , Matthias Vojta

Vortices are pervasive in nature, representing the breakdown of laminar fluid flow and hence playing a key role in turbulence. The fluid rotation associated with a vortex can be parameterized by the circulation $\Gamma=\oint {\rm d}{\bf…

Other Condensed Matter · Physics 2015-05-13 N. G. Parker , B. Jackson , A. M. Martin , C. S. Adams

In several two-dimensional films that exhibit a magnetic field-tuned superconductor to insulator transition (SIT), stable metallic phases have been observed. Building on the `dirty boson' description of the SIT, we suggest that the metallic…

Strongly Correlated Electrons · Physics 2016-05-18 Michael Mulligan , S. Raghu

We consider orbital magnetic field effects in a spin liquid phase of a half-filled triangular lattice Hubbard system close to the Mott transition, continuing an earlier exploration of a state with spinon Fermi surface. Starting from the…

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

We present a unified, global perspective on the magnetic properties of strongly disordered electronic systems, with special emphasis on the case where the ground state is metallic. We review the arguments for the instability of the…

Strongly Correlated Electrons · Physics 2009-10-30 Subir Sachdev

Kitaev quantum spin liquid is a topological magnetic quantum state characterized by Majorana fermions of fractionalized spin excitations, which are identical to their own antiparticles. Here, we demonstrate emergence of Majorana fermions…

The physics of two-dimensional electron gas in a perpendicular magnetic field, i.e., the quantum Hall system, is remarkably rich. At half filling of the lowest Landau level, it has been predicted that ``composite fermions'' -- emergent…

Strongly Correlated Electrons · Physics 2026-03-04 Bin-Bin Chen , Hongyu Lu , Zi Yang Meng

We develop the Ginzburg-Landau theory of the vortex lattice in clean isotropic three-dimensional superconductors at large Maki parameter, when inhomogeneous Fulde-Ferrell-Larkin-Ovchinnikov state is favored. We show that diamagnetic…

Superconductivity · Physics 2015-03-31 M. Houzet , V. P. Mineev

One of the key questions concerning frustrated lattices that has lately emerged is the role of disorder in inducing spin-liquid-like properties. In this context, the quantum kagome antiferromagnets YCu$_3$(OH)$_6$Cl$_3$, which has been…

Strongly Correlated Electrons · Physics 2019-07-02 A. Zorko , M. Pregelj , M. Klanjšek , M. Gomilšek , Z. Jagličić , J. S. Lord , J. A. T. Verezhak , T. Shang , W. Sun , J. -X. Mi

In the field of quantum magnetism, the advent of numerous spin-orbit assisted Mott insulating compounds, such as the family of Kitaev materials, has led to a growing interest in studying general spin models with non-diagonal interactions…

Strongly Correlated Electrons · Physics 2019-09-30 Finn Lasse Buessen , Vincent Noculak , Simon Trebst , Johannes Reuther

We study the ground state phase diagram of the quantum spin-$1/2$ Heisenberg model on the kagom\'{e} lattice with first- ($J_1 < 0$), second- ($J_2 < 0$), and third-neighbor interactions ($J_d > 0$) by means of analytical low-energy field…

Strongly Correlated Electrons · Physics 2016-07-28 Shou-Shu Gong , Wei Zhu , Kun Yang , Oleg A. Starykh , D. N. Sheng , Leon Balents

We study the coupling between conventional (Maxwell) and emergent electrodynamics in quantum spin ice, a 3+1-dimensional $U(1)$ quantum spin liquid. We find that a uniform electric field can be used to tune the properties of both the ground…

Strongly Correlated Electrons · Physics 2017-09-26 Étienne Lantagne-Hurtubise , Subhro Bhattacharjee , Roderich Moessner

We study in this paper the properties of a gas of fermions coupling to a U(1) gauge field at wavevectors $q<\Lambda<<k_F$ at dimensions larger than one, where $\Lambda<<k_F$ is a high momentum cutoff and $k_F$ is the fermi wave vector. In…

Strongly Correlated Electrons · Physics 2009-10-31 Tai-Kai Ng