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Weak Mott regime with finite U is a wonderful region to search for quantum spin liquid, but it is challenging to write down a wavefunction capturing both spin liquid and charge fluctuations. Conventional methods using complicated Jastrow…

Strongly Correlated Electrons · Physics 2023-08-01 Boran Zhou , Ya-Hui Zhang

A new mean field theory is proposed for the Mott transition in the Hubbard model based on the slave rotor representation of the electron operator. This theory provides a better description of the role of the long range charge correlation in…

Strongly Correlated Electrons · Physics 2016-01-12 Tao Li , Tomonori Shirakawa , Kazuhiro Seki , Seiji Yunoki

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

This article contains a theoretical overview of the physical properties of antiferromagnetic Mott insulators in spatial dimensions greater than one. Many such materials have been experimentally studied in the past decade and a half, and we…

Strongly Correlated Electrons · Physics 2009-11-10 Subir Sachdev

The Mott transition is usually considered as resulting from the divergence of the effective mass of the quasiparticle in the Fermi-liquid theory; the dispersion relation around the Fermi level is considered to become flat towards the Mott…

Strongly Correlated Electrons · Physics 2020-10-26 Masanori Kohno

The Gutzwiller wave function for a strongly correlated model can, if supplemented with a long-range Jastrow factor, provide a proper variational description of Mott insulators, so far unavailable. We demonstrate this concept in the…

Strongly Correlated Electrons · Physics 2009-11-10 Manuela Capello , Federico Becca , Michele Fabrizio , Sandro Sorella , Erio Tosatti

Gutzwiller projection allows a construction of an assortment of variational wave functions for strongly correlated systems. For quantum spin S=1/2 models, Gutzwiller-projected wave functions have resonating-valence-bond structure and may…

Strongly Correlated Electrons · Physics 2009-11-07 D. A. Ivanov , T. Senthil

We analyze the Mott transition in multi-band Hubbard models with the inclusion of multiplet exchange splittings as it arises in infinite dimensions by using the generalized Gutzwiller wave-function introduced by B\"unemann, Weber and…

Strongly Correlated Electrons · Physics 2009-11-10 Claudio Attaccalite , Michele Fabrizio

One of the most successful theories of a non-Fermi liquid metallic state is the composite Fermi liquid (CFL) theory of the half-filled Landau level. In this paper, we study continuous quantum phase transitions out of the CFL state and into…

Strongly Correlated Electrons · Physics 2012-08-22 Maissam Barkeshli , John McGreevy

Unique features of non-magnetic insulator phase are shown, and phase diagram for t-t' Hubbard model on square lattice is presented. Using the path-integral renormalization group method, we find antiferromagnetic phase for small next-nearest…

Strongly Correlated Electrons · Physics 2007-05-23 Takahiro Mizusaki , Masatoshi Imada

We introduce a novel extension of the Gutzwiller variational wavefunction able to deal with insulators that escape any mean-field like description, as for instance non-magnetic insulators. As an application, we study the Mott transition…

Strongly Correlated Electrons · Physics 2009-11-13 Michele Fabrizio

The charge and spin patterns of a quantum dot embedded into a spin-orbit coupled quantum wire subject to a magnetic field are investigated. A Luttinger liquid theory is developed, taking into account open boundaries and finite magnetic…

Mesoscale and Nanoscale Physics · Physics 2015-09-17 F. M. Gambetta , N. Traverso Ziani , S. Barbarino , F. Cavaliere , M. Sassetti

In Mott insulators, the strong electron-electron Coulomb repulsion prevents metallicity and charge excitations are gapped. In dimensions greater than one, their spins are usually ordered antiferromagnetically at low temperatures.…

Strongly Correlated Electrons · Physics 2012-10-02 D. Watanabe , M. Yamashita , S. Tonegawa , Y. Oshima , H. M. Yamamoto , R. Kato , I. Sheikin , K. Behnia , T. Terashima , S. Uji , T. Shibauchi , Y. Matsuda

A large scale dynamical simulation of the superfluid to Mott insulator transition in the gas of ultra cold atoms placed in an optical lattice is performed using the time dependent Gutzwiller mean field approach. This approximate treatment…

Other Condensed Matter · Physics 2009-11-10 Jakub Zakrzewski

The determination of the ground state of quantum many-body systems via digital quantum computers rests upon the initialization of a sufficiently educated guess. This requirement becomes more stringent the greater the system. Preparing…

Quantum Physics · Physics 2021-06-30 Bruno Murta , Joaquín Fernández-Rossier

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 find the Gutzwiller projected Fermi sea wave function(GWF) has the correct phase structure to describe the kink nature of the doped holes in the ground state of the one dimensional $t-J$ model. We find the failure of the GWF for general…

Superconductivity · Physics 2007-05-23 Hong-Yu Yang , Tao Li

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

An approximate solution scheme, similar to the Gutzwiller approximation, is presented for the Baeriswyl and the Baeriswyl-Gutzwiller variational wavefunctions. The phase diagram of the one-dimensional Hubbard model as a function of…

Strongly Correlated Electrons · Physics 2010-09-07 Balazs Hetenyi

The correlation-driven Mott transition is commonly characterized by a drop in resistivity across the insulator-metal phase boundary; yet, the complex permittivity provides a deeper insight into the microscopic nature. We investigate the…

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