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The checkerboard lattice, with alternating 'crossed' plaquettes, serves as the two dimensional analog of the pyrochlore lattice. The corner sharing plaquette structure leads to a hugely degenerate ground state, and no magnetic order, for…

Strongly Correlated Electrons · Physics 2017-01-24 Nyayabanta Swain , Pinaki Majumdar

The two orbital Hubbard model, with the electrons additionally coupled to a complex magnetic background, arises in the pyrochlore molybdates. The background involves local moments Hund's coupled to the electrons, driving double exchange…

Strongly Correlated Electrons · Physics 2022-12-13 Nyayabanta Swain , Madhuparna Karmakar , Pinaki Majumdar

We study the low-energy properties of the geometrically frustrated Hubbard model on a three-dimensional pyrochlore lattice and a two-dimensional checkerboard lattice on the basis of the renormalization group method and mean field analysis.…

Strongly Correlated Electrons · Physics 2009-11-07 Satoshi Fujimoto

We investigate a (semi-)metal to insulator transition (MIT) realized in geometrically frustrated electron systems on the basis of the Hubbard model on a three-dimensional pyrochlore lattice and a two-dimensional checkerboard lattice. Using…

Strongly Correlated Electrons · Physics 2009-11-10 Satoshi Fujimoto

We study orbital Mott transition in two dimensional pyrochlore lattice, using a two orbital Hubbard model with only inter-orbital electronic hopping. We use a real space Monte Carlo based approach to study the model at finite temperature,…

Strongly Correlated Electrons · Physics 2020-04-14 Abhinav Saket , Rajarshi Tiwari

The rare-earth based pyrochlore molybdates involve orbitally degenerate electrons Hund's coupled to local moments. The large Hund's coupling promotes ferromagnetism, the superexchange between the local moments prefers antiferromagnetism,…

Strongly Correlated Electrons · Physics 2017-09-15 Nyayabanta Swain , Pinaki Majumdar

We study a range of thermodynamic properties (charge susceptibility, specific heat, entropy and spin susceptibility) of the Hubbard model on the anisotropic triangular lattice at half filling by means of the numerical finite-temperature…

Strongly Correlated Electrons · Physics 2013-05-30 J. Kokalj , Ross H. McKenzie

We study the half-filled Hubbard model on the geometrically frustrated face centered cubic (FCC) lattice, using an auxiliary field based real space technique. The low temperature state is a paramagnetic metal at weak interaction, an…

Strongly Correlated Electrons · Physics 2013-02-14 Rajarshi Tiwari , Pinaki Majumdar

It has been reported that upon doping a Mott insulator, there can be a crossover to a pseudogaped metallic phase followed by a first-order transition to another thermodynamically stable metallic phase. We call this first-order metal-metal…

Strongly Correlated Electrons · Physics 2024-09-16 P. -O. Downey , O. Gingras , C. -D. Hébert , M. Charlebois , A. -M. S. Tremblay

Magnetic phase diagram and Mott transition are studied in the Hubbard model on the anisotropic triangular lattice at zero temperature and half-filling by the variational cluster approximation, taking into account N\'eel, 120$^\circ$ N\'eel,…

Strongly Correlated Electrons · Physics 2015-06-18 A. Yamada

Motivated by puzzling characteristics of spin-glass transitions widely observed in pyrochlore-based frustrated materials, we investigate effects of coupling to local lattice distortions in a bond-disordered antiferromagnet on the pyrochlore…

Strongly Correlated Electrons · Physics 2011-07-22 Hiroshi Shinaoka , Yusuke Tomita , Yukitoshi Motome

We use a novel Monte Carlo method to study the Mott transition in an anisotropic triangular lattice. The real space approach, retaining extended spatial correlations, allows an accurate treatment of non trivial magnetic fluctuations in this…

Strongly Correlated Electrons · Physics 2013-01-23 Rajarshi Tiwari , Pinaki Majumdar

The interaction-driven evolution from a Fermi liquid to a Mott insulator is a hallmark of strongly correlated fermion systems. In this work, we present a {\it numerically unbiased} study of such metal-to-insulator crossover in the…

Strongly Correlated Electrons · Physics 2026-02-27 Mingzhong Lu , Yu-Feng Song , Youjin Deng , Yuan-Yao He

The metal--insulator transition (MIT) for the square, simple cubic, and body-centered cubic lattices is investigated within the $t-t'$ Hubbard model at half-filling by using both the Hartree-Fock approximation (HFA) generalized for the case…

Strongly Correlated Electrons · Physics 2016-11-03 M. A. Timirgazin , P. A. Igoshev , A. K. Arzhnikov , V. Yu. Irkhin

Spin-liquid behavior was recently suggested experimentally in the moderately one-dimensional organic compound $\kappa$-H$_3$(Cat-EDT-TTF)$_2$. This compound can be modeled by the one-band Hubbard model on the anisotropic triangular lattice…

Strongly Correlated Electrons · Physics 2016-12-28 S. Acheche , A. Reymbaut , M. Charlebois , D. Sénéchal , A. -M. S. Tremblay

The possible emergence of a spin liquid phase in the half-filled Hubbard model on the honeycomb lattice; a simple model of graphene, is studied using the variational cluster approximation. We found that the critical interaction strength of…

Strongly Correlated Electrons · Physics 2017-02-24 Atsushi Yamada

We provide the first unbiased evidence for a higher-order topological Mott insulator in three dimensions by numerically exact quantum Monte Carlo simulations. This insulating phase is adiabatically connected to a third-order topological…

Strongly Correlated Electrons · Physics 2021-10-26 Yuichi Otsuka , Tsuneya Yoshida , Koji Kudo , Seiji Yunoki , Yasuhiro Hatsugai

The physics of the triangular lattice Hubbard model exhibits a rich phenomenology, ranging from a metal-insulator transition, intriguing thermodynamic behavior, and a putative spin liquid phase at intermediate coupling, ultimately becoming…

Based on dynamical cluster approximation (DCA) quantum Monte Carlo simulations, we study the interaction-driven Mott metal-insulator transition (MIT) in the half-filled Hubbard model on the anisotropic two-dimensional triangular lattice,…

Strongly Correlated Electrons · Physics 2015-04-06 Hung T. Dang , Xiao Yan Xu , Kuang-Shing Chen , Zi Yang Meng , Stefan Wessel

We describe a new microscopic approach for analyzing interacting electron systems with local moments or, in principle, any local order parameter. We specialize attention to the doped Mott insulator phase of the Hubbard model, where standard…

Strongly Correlated Electrons · Physics 2007-05-23 N. E. Bickers , D. J. Scalapino
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