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Phenomenological theory of the Mott transition is presented. When the critical temperature of the Mott transition is much higher than the quantum degeneracy temperature, the transition is essentially described by the Ising universality…

Strongly Correlated Electrons · Physics 2007-05-23 Masatoshi Imada

We study transitions between topological phases featuring emergent fractionalized excitations in two-dimensional models for Mott insulators with spin and orbital degrees of freedom. The models realize fermionic quantum critical points in…

Strongly Correlated Electrons · Physics 2020-12-16 Urban F. P. Seifert , Xiao-Yu Dong , Sreejith Chulliparambil , Matthias Vojta , Hong-Hao Tu , Lukas Janssen

The crossover between a metal and a Mott insulator leads to a localization of fermions from delocalized Bloch states to localized states. We experimentally study this crossover using fermionic atoms in an optical lattice by measuring…

Quantum Gases · Physics 2016-09-28 J. H. Drewes , E. Cocchi , L. A. Miller , C. F. Chan , D. Pertot , F. Brennecke , M. Köhl

Mottness is at the heart of the essential physics in a strongly correlated system as many novel quantum phenomena occur in the metallic phase near the Mott metal-insulator transition. We investigate the Mott transition in a Hubbard model by…

Strongly Correlated Electrons · Physics 2023-11-29 Yuekun Niu , Yu Ni , Jianli Wang , Leiming Chen , Ye Xing , Yun Song , Shiping Feng

Divergent carrier-density fluctuations equivalent to the critical opalescence of gas-liquid transitions emerge around a metal-insulator critical point at a finite temperature. In contrast to the gas-liquid transitions, however, the critical…

Strongly Correlated Electrons · Physics 2007-05-23 Takahiro Misawa , Youhei Yamaji , Masatoshi Imada

The Mott transition is a paradigmatic phenomenon where Coulomb interactions between electrons drive a metal-insulator phase transition. It is extensively studied within the Hubbard model, where a quantum critical transition occurs at a…

Strongly Correlated Electrons · Physics 2025-10-20 Ankur Majumder , Sudeshna Sen

Quantum phase transitions in metals are often accompanied by violations of Fermi liquid behavior in the quantum critical regime. Particularly fascinating are transitions beyond the Landau-Ginzburg-Wilson concept of a local order parameter.…

Strongly Correlated Electrons · Physics 2010-10-01 Matthias Vojta

We study theoretically the zero temperature phase transition in two dimensions from a Fermi liquid to a paramagnetic Mott insulator with a spinon Fermi surface. We show that the approach to the bandwidth controlled Mott transition from the…

Strongly Correlated Electrons · Physics 2009-11-13 T. Senthil

The gas-liquid transition is a first-order transition terminating at a finite-temperature critical point with diverging density fluctuations. Mott transition, a metal-insulator transition driven by Coulomb repulsion between electrons, has…

Superconductivity · Physics 2007-05-23 Masatoshi Imada

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

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…

The evolution of a Landau Fermi liquid into a nonmagnetic Mott insulator with increasing electronic interactions is one of the most puzzling quantum phase transitions in physics. The vicinity of the transition is believed to host exotic…

We study the Mott transition of a mixed Bose-Fermi system of ultracold atoms in an optical lattice, where the number of (spinless) fermions and bosons adds up to one atom per lattice, n_F+n_B=1. For weak interactions, a Fermi surface…

Quantum Gases · Physics 2013-05-30 Ehud Altman , Eugene Demler , Achim Rosch

Quantum criticality of metal-insulator transitions in correlated electron systems is shownto belong to an unconventional universality class with violation of Ginzburg-Landau-Wilson(GLW) scheme formulated for symmetry breaking transitions.…

Strongly Correlated Electrons · Physics 2010-10-20 Takahiro Misawa , Masatoshi Imada

Phase transitions and their associated crossovers are imprinted in the behavior of fluctuations. Motivated by recent experiments on ultracold atoms in optical lattices, we compute the thermodynamic density fluctuations $\delta N^2$ of the…

Quantum Gases · Physics 2019-05-02 C. Walsh , P. Sémon , G. Sordi , A. -M. S. Tremblay

The possibility of the strong electron-electron interaction driven insulating phase from the metallic phase in two-dimensions has been suggested for clean systems without intentional disorder, but its rigorous demonstration is still…

Strongly Correlated Electrons · Physics 2021-01-04 Byoung Hee Moon , Gang Hee Han , Miloš M. Radonjić , Hyunjin Ji , Vladimir Dobrosavljević

This paper reviews a recent non-Landau-Ginzburg-Wilson (LGW) approach to superfluid to Mott insulator transitions in two dimensional bosonic lattice systems, using a dual vortex field theory (cond-mat/0408329). The physical interpretation…

Strongly Correlated Electrons · Physics 2009-11-11 Leon Balents , Lorenz Bartosch , Anton Burkov , Subir Sachdev , K. Sengupta

An ultracold gas of interacting fermionic atoms in a three-dimensional optical lattice is considered, where the lattice potential strength is periodically modulated. This non-equilibrium system is non-perturbatively described by means of a…

Quantum Physics · Physics 2016-03-07 Regine Frank

We investigate the role of generic scale invariance in a Mott transition from a U(1) spin-liquid insulator to a Landau Fermi-liquid metal, where there exist massless degrees of freedom in addition to quantum critical fluctuations. Here, the…

Strongly Correlated Electrons · Physics 2021-05-19 Jinho Yang , Iksu Jang , Jae-Ho Han , Ki-Seok Kim

One of the most remarkable results of quantum mechanics is the fact that many-body quantum systems may exhibit phase transitions even at zero temperature. Quantum fluctuations, deeply rooted in Heisenberg's uncertainty principle, and not…

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