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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 Mott transition in the half-filled Hubbard model is a first-order phase transition that terminates at a critical point $(T_\mathrm{c},U_\mathrm{c})$ in the temperature-interaction plane $T-U$. A number of crossovers…

Strongly Correlated Electrons · Physics 2020-04-07 A. Reymbaut , M. Boulay , L. Fratino , P. Sémon , Wei Wu , G. Sordi , A. -M. S. Tremblay

Mott transition and ferrimagnetism are studied in the Hubbard model on the anisotropic kagom\'e lattice using the variational cluster approximation and the phase diagram at zero temperature and half-filling is analyzed. The ferrimagnetic…

Strongly Correlated Electrons · Physics 2015-03-17 A. Yamada , K. Seki , R. Eder , Y. Ohta

We study the half-filled Hubbard model on a one-parameter family of vortex-full square lattices ranging from the isotropic case to weakly coupled Hubbard dimers. The ground-state phase diagram consists of four phases: A semi-metal and a…

Strongly Correlated Electrons · Physics 2014-12-01 D. Ixert , F. F. Assaad , K. P. Schmidt

We investigate the Mott transition in the anisotropic kagom\'e lattice Hubbard model using the cellular dynamical mean field theory combined with continuous-time quantum Monte Carlo simulations. By calculating the double occupancy and the…

Strongly Correlated Electrons · Physics 2015-05-19 Yuta Furukawa , Takuma Ohashi , Yohta Koyama , Norio Kawakami

The suppression of antiferromagnetic ordering in geometrically frustrated Hubbard models leads to a variety of exotic quantum phases including quantum spin liquids and chiral states. Here, we focus on the Hubbard model on one of the…

Quantum Gases · Physics 2022-07-15 Davis Garwood , Jirayu Mongkolkiattichai , Liyu Liu , Jin Yang , Peter Schauss

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

The Hubbard model and its strong-coupling version, the Heisenberg one, have been widely studied on the triangular lattice to capture the essential low-temperature properties of different materials. One example is given by transition metal…

Strongly Correlated Electrons · Physics 2020-09-25 Luca F. Tocchio , Arianna Montorsi , Federico Becca

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 investigate the half-filled Hubbard model with spatially alternating interactions by means of the two-site dynamical mean-field theory. It is found that a single Mott transition occurs when two kinds of interactions are increased. This…

Strongly Correlated Electrons · Physics 2012-04-20 Takamitsu Saitou , Akihisa Koga , Atsushi Yamamoto

We study the Mott transition in a frustrated Hubbard model with next-nearest neighbor hopping at half-filling. The interplay between interaction, dimensionality and geometric frustration closes the one-dimensional Mott gap and gives rise to…

Strongly Correlated Electrons · Physics 2012-09-19 Marcin Raczkowski , Fakher F. Assaad

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

Geometric frustration is a key ingredient in the emergence of exotic states of matter, such as the quantum spin liquid in Mott insulators. While there has been intense interest in experimentally tuning frustration in candidate materials,…

We investigate the metal-insulator transition (MIT) and phase diagram of the half-filled Fermi Hubbard model with Rashba-type spin-orbit coupling (SOC) on a square optical lattice. The interplay between the atomic interactions and SOC…

Strongly Correlated Electrons · Physics 2015-03-13 Xin Zhang , Wei Wu , Gang Li , Lin Wen , Qing Sun , An-Chun Ji

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

We investigate the half-filled Hubbard model on an isotropic triangular lattice with the variational cluster approximation. By decreasing the on-site repulsion $U$ (or equivalently increasing pressure) we go from a phase with long range,…

Strongly Correlated Electrons · Physics 2008-04-15 Peyman Sahebsara , David Sénéchal

The pyrochlore lattice involves corner sharing tetrahedra and the resulting geometric frustration is believed to suppress any antiferromagnetic order for Mott insulators on this structure. There are nevertheless short-range correlations…

Strongly Correlated Electrons · Physics 2016-10-19 Nyayabanta Swain , Rajarshi Tiwari , Pinaki Majumdar

We have investigated the half-filling two-orbital Hubbard model on a triangular lattice by means of the dynamical mean-field theory (DMFT). The densities of states and optical conductivity clearly show the occurence of metal-insulating…

Strongly Correlated Electrons · Physics 2008-08-27 Feng Lu , Wei-Hua Wang , Liang-Jian Zou

We report on a phenomenological study of superfluid to Mott insulator transitions of bosons on the triangular lattice, focusing primarily on the interplay between Mott localization and geometrical charge frustration at 1/2-filling. A…

Strongly Correlated Electrons · Physics 2009-11-11 A. A. Burkov , Leon Balents

We analyze the highly non-perturbative regime surrounding the Mott-Hubbard metal-to-insulator transition (MIT) by means of dynamical mean field theory calculations at the two-particle level. By extending the results of Sch\"afer, et al.…

Strongly Correlated Electrons · Physics 2016-12-07 T. Schäfer , S. Ciuchi , M. Wallerberger , P. Thunström , O. Gunnarsson , G. Sangiovanni , G. Rohringer , A. Toschi