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We present a theoretical approach to describing the Mott transition of electrons on a two dimensional lattice that begins with the low energy effective theory of the Fermi liquid. The approach to the Mott transition must be characterized by…

Strongly Correlated Electrons · Physics 2012-01-25 David F. Mross , T. Senthil

Vortices are commonly observed in the context of classical hydrodynamics: from whirlpools after stirring the coffee in a cup to a violent atmospheric phenomenon such as a tornado, all classical vortices are characterized by an arbitrary…

Quantum Gases · Physics 2017-04-06 G. Bighin , L. Salasnich

We review the recent theoretical developments towards understanding the Mott phases and quantum phase transition of extended Bose-Hubbard models on lattices in two spatial dimensions . We focuss on the description of these systems using the…

Strongly Correlated Electrons · Physics 2009-11-13 K. Sengupta

We describe the two-dimensional Mott transition in a Hubbard-like model with nearest neighbors interactions based on a recent solution to the Zamolodchikov tetrahedron equation, which extends the notion of integrability to two-dimensional…

Strongly Correlated Electrons · Physics 2008-12-10 Federico L. Bottesi , Guillermo R. Zemba

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 reconsider the Mott transition in the context of a two-dimensional fermion model with density-density coupling. We exhibit a Hilbert space mapping between the original model and the Double Lattice Chern-Simons theory at the critical…

Strongly Correlated Electrons · Physics 2015-04-23 Federico L. Bottesi , Guillermo R. Zemba

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

We calculate the superfluid transition temperature for a two-component 3D Fermi gas in a 1D tight optical lattice and discuss a dimensional crossover from the 3D to quasi-2D regime. For the geometry of finite size discs in the 1D lattice,…

Superconductivity · Physics 2009-11-11 G. Orso , G. V. Shlyapnikov

Resorting to a recently developed theoretical device called dimensional regularization for quantum criticality with a Fermi surface, we examine a metal-insulator quantum phase transition from a Landau's Fermi-liquid state to a U(1)…

Strongly Correlated Electrons · Physics 2017-06-20 Jae-Ho Han , Yong-Heum Cho , Ki-Seok Kim

We study Dirac fermions in two spatial dimensions (2D) coupled to strongly fluctuating U(1) gauge fields in the presence of quenched disorder. Such systems are dual to theories of free Dirac fermions, which are vortices of the original…

Strongly Correlated Electrons · Physics 2018-01-03 Hart Goldman , Michael Mulligan , S. Raghu , Gonzalo Torroba , M. Zimet

We use quantum Monte Carlo and exact diagonalization calculations to study the Mott-insulator to superconductor quantum phase transition in a two-dimensional fermionic Hubbard model with attractive interactions in the presence of a…

Strongly Correlated Electrons · Physics 2015-10-07 Rubem Mondaini , Predrag Nikolic , Marcos Rigol

The guiding conception of vortex-condensation-driven Mott insulating behavior is central to the theory of the nodal liquid. We amplify our earlier description of this idea and show how vortex condensation in 2D electronic systems is a…

Strongly Correlated Electrons · Physics 2009-10-31 Leon Balents , Matthew Fisher , Chetan Nayak

Superfluidity and superconductivity are remarkable manifestations of quantum coherence at a macroscopic scale. The dynamics of superfluids has dominated the study of these systems for decades now, but a comprehensive theoretical framework…

Quantum Gases · Physics 2011-08-19 Aurel Bulgac , Yuan-Lung , Luo , Piotr Magierski , Kenneth J. Roche , Yongle Yu

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

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

We consider a superfluid transition in two-component dipolar Fermi gases in a two-dimensional lattice with a weak on-site disorder. The momentum dependent dipole-dipole interaction amplitude violates the Anderson theorem and in the weakly…

Quantum Gases · Physics 2024-02-13 V. Y. Pinchenkova , S. I. Matveenko , G. V. Shlyapnikov

Non-equilibrium quantum phenomena are ubiquitous in nature. Yet, theoretical predictions on the real-time dynamics of many-body quantum systems remain formidably challenging, especially for high dimensions, strong interactions or disordered…

Quantum Gases · Physics 2013-08-21 A. Kartsev , D. Karlsson , A. Privitera , C. Verdozzi

Characterizing and accessing quantum phases of itinerant bosons or fermions in two dimensions (2D) that exhibit singular structure along surfaces in momentum space but have no quasi-particle description remains as a central challenge in the…

Strongly Correlated Electrons · Physics 2008-12-17 Matthew P. A. Fisher , Olexei I. Motrunich , Donna N. Sheng

Pressure-temperature phase diagram of the organic Mott insulator $\kappa$-(ET)$_2$Cu$_2$(CN)$_3$, a model system of the spin liquid on triangular lattice, has been investigated by $^1$H NMR and resistivity measurements. The spin-liquid…

Strongly Correlated Electrons · Physics 2007-05-23 Y. Kurosaki , Y. Shimizu , K. Miyagawa , K. Kanoda , G. Saito

A set of equations according to which the conducting medium consists of two fluids - laminar and vortex, has been obtained in the present paper by transforming MHD equations. In a similar way, an electronic fluid is assumed to consist of a…

chao-dyn · Physics 2009-10-22 N. B. Volkov , A. M. Iskoldsky
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