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Effects of randomness on interacting fermionic systems in one dimension are investigated by quantum Monte-Carlo techniques. At first, interacting spinless fermions are studied whose ground state shows charge ordering. Quantum phase…

Strongly Correlated Electrons · Physics 2009-10-31 Y. Otsuka , Y. Morita , Y. Hatsugai

The paramagnetic phase of the extended attractive Hubbard model on the cubic lattice is studied within the spin rotation invariant Kotliar-Ruckenstein slave-boson representation at zero temperature. It is obtained that the quasiparticle…

Strongly Correlated Electrons · Physics 2022-06-15 R. Fresard , V. H. Dao

We examine instabilities of the plateau phases in the spin-1/2 kagome-lattice antiferromagnet in an applied field by means of degenerate perturbation theory, and find some emergent supersolid phases below the $m=5/9$ plateau. The wave…

Strongly Correlated Electrons · Physics 2018-07-23 Xavier Plat , Tsutomu Momoi , Chisa Hotta

An unusual metallic phase is proven to develop in the one dimensional ionic Hubbard model, at half-filling and zero magnetization, at intermediate electron-electron repulsion $U$ when second neighbors hopping is allowed and tuned close to a…

Strongly Correlated Electrons · Physics 2025-09-15 Gerardo L. Rossini , George I. Japaridze

Critical properties of a geometrically frustrated generalized $XY$ model with antiferromagnetic (AFM) and third-order antinematic (AN3) couplings on a triangular lattice are studied by Monte Carlo simulation. It is found that such a…

Statistical Mechanics · Physics 2020-09-16 M. Lach , M. Žukovič

We study the consequences of Coulomb interactions on a system undergoing a putative first order phase transition. In two dimensions (2D), near the critical density, the system is universally unstable to the formation of new intermediate…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Reza Jamei , Steven Kivelson , Boris Spivak

Geometric frustration is known to completely damage kinetic processes of some of the orbitals (and their associated quantum coherence) as to produce flat bands in the non-interacting systems. The impact of introducing additional interaction…

Strongly Correlated Electrons · Physics 2024-08-08 Xinyao Zhang , Matheus S. M. de Sousa , Xinyi Li , Anthony Hegg , Wei Ku

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 study novel electronic properties of the Hubbard model on a triangular lattice using the cellular dynamical mean-field theory. The interplay of strong geometric frustration and electron correlations causes a Mott transition at the…

Strongly Correlated Electrons · Physics 2009-11-11 Bumsoo Kyung

Geometric frustration is an approach to the glass transition based upon the consideration of locally favoured structures (LFS), which are geometric motifs which minimise the local free energy. Geometric frustration proposes that a…

Statistical Mechanics · Physics 2015-08-17 Peter Crowther , Francesco Turci , C. Patrick Royall

The $120^0$ ordered antiferromagnetic state of the Hubbard model on a triangular lattice presents an interesting case of $U$-controlled competing interactions and frustration. The spin stiffness is found to vanish at $U^* _{\rm stiff}…

Strongly Correlated Electrons · Physics 2009-11-10 Avinash Singh

We study the interplay between magnetic frustration and itinerant electrons. For example, how does the coupling to mobile charges modify the properties of a spin liquid, and does the underlying frustration favor insulating or conducting…

Statistical Mechanics · Physics 2015-06-03 L. D. C. Jaubert , Swann Piatecki , Masudul Haque , R. Moessner

The arrested nanoscale phase separation in a two-band Hubbard model for strongly correlated charge carriers is shown to occur in a particular range in vicinity of the topological Lifshitz transition, where the Fermi energy crosses the…

Strongly Correlated Electrons · Physics 2015-01-20 Antonio Bianconi , Nicola Poccia , A. O. Sboychakov , A. L. Rakhmanov , K. I. Kugel

The magnetization and specific heat measurements have been performed on single-crystalline Gd_3_Ru_4_Al_12_ with a distorted Kagome lattice structure. This spin system is regarded as an antiferromagnetic triangular lattice of XY like…

Strongly Correlated Electrons · Physics 2023-02-08 S. Nakamura , N. Kabeya , M. Kobayashi , K. Araki , K. Katoh , A. Ochiai

The spin-1/2 Ising-Heisenberg model on martini and martini-diced lattice is exactly solved using a star-triangle transformation, which affords an exact mapping correspondence to an effective spin-1/2 Ising model on a triangular lattice. The…

Statistical Mechanics · Physics 2022-03-23 Hamid Arian Zad , Jozef Strecka

The fermionic Hubbard model, when combined with the ingredient of frustration, associated with the breaking of particle-hole symmetry, harbors a rich phase diagram. Aspects of theoretical findings associated with the nature of magnetism and…

Strongly Correlated Electrons · Physics 2025-10-23 Sogoud Sherif , Prakash Sharma , Aman Kumar , Hitesh J. Changlani

We investigate a 4-state ferromagnetic Potts model with a special type of geometrical frustration on a three dimensional diamond lattice by means of Wang-Landau Monte Carlo simulation motivated by a peculiar structural phase transition…

Statistical Mechanics · Physics 2015-05-13 Ryo Igarashi , Masao Ogata

Strongly correlated materials are profoundly affected by the repulsive electron-electron interaction. This stands in contrast to many commonly used materials such as silicon and aluminum, whose properties are comparatively unaffected by the…

Strongly Correlated Electrons · Physics 2013-09-19 Emilia Morosan , Douglas Natelson , Andriy H. Nevidomskyy , Qimiao Si

Orbital degrees of freedom play an important role for understanding the emergence of unconventional quantum phases. Ultracold atomic gases in optical lattices provide a wonderful platform to simulate orbital physics. In this work, we…

Quantum Gases · Physics 2024-07-02 Jiaqi Wu , Hui Tan , Rui Cao , Jianmin Yuan , Yongqiang Li

A current of electrons traversing a landscape of localized spins possessing non-coplanar magnetic order gains a geometrical (Berry) phase which can lead to a Hall voltage independent of the spin-orbit coupling within the material--a…