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We study entanglement in the Hatsugai-Kohmoto model, which exhibits a continuous interaction-driven Mott transition. By virtue of the all-to-all nature of its center-of-mass conserving interactions, the model lacks dynamical spectral weight…

Strongly Correlated Electrons · Physics 2019-05-29 Luke Yeo , Philip W. Phillips

We analyze the Thermodynamic Bethe Ansatz equations of the one-dimensional half-filled Hubbard model in the "spin-disordered regime", which is characterized by the temperature being much larger than the magnetic energy scale but small…

Strongly Correlated Electrons · Physics 2009-11-11 S. Ejima , F. H. L. Essler , F. Gebhard

We study thermodynamic properties as well as the dynamical spin and quadrupolar structure factors of the O(3)-symmetric spin-1 Heisenberg model with bilinear-biquadratic exchange interactions on the triangular lattice. Based on a…

Strongly Correlated Electrons · Physics 2016-03-01 Annika Völl , Stefan Wessel

The Kagome lattice Fermi-Hubbard model is one of the most physically rich, and at the same time most challenging, models to study in strongly-correlated physics. Among its special features are geometric frustration and a flat energy band…

Strongly Correlated Electrons · Physics 2026-04-30 Francisco Correia , Kyle Corbett , Ehsan Khatami

We study the dynamical response of the half-filled one-dimensional(1d) Hubbard model for a range of interaction strengths $U$ and temperatures $T$ by a combination of numerical and analytical techniques. Using time-dependent density matrix…

Strongly Correlated Electrons · Physics 2018-02-07 Alberto Nocera , Fabian H. L. Essler , Adrian E. Feiguin

To the Hubbard model on a square lattice we add an interaction, $W$, which depends upon the square of a near-neighbor hopping. We use zero temperature quantum Monte Carlo simulations on lattice sizes up to $16 \times 16$, to show that at…

Strongly Correlated Electrons · Physics 2009-10-30 F. F. Assaad , M. Imada , D. J. Scalapino

We study the equilibrium dynamics of magnetic moments in the Mott insulating phase of the Hubbard model on the square and triangular lattice. We rewrite the Hubbard interaction in terms of an auxiliary vector field and use a recently…

Strongly Correlated Electrons · Physics 2021-12-16 Sauri Bhattacharyya , Pinaki Majumdar

We propose a new correlated topological state which we call a higher-order topological Mott insulator (HOTMI). This state exhibits a striking bulk-boundary correspondence due to electron correlations. Namely, the topological properties in…

Strongly Correlated Electrons · Physics 2019-11-13 Koji Kudo , Tsuneya Yoshida , Yasuhiro Hatsugai

Multiband superconductivity gives rise to a rich landscape of possible pairing states. Here we study superconductivity in the multiband extension of the Hatsugai-Kohmoto model, an exactly solvable model of correlated electrons with…

Superconductivity · Physics 2026-05-14 Nico Hahn , R. Matthias Geilhufe

We present analytical results of fundamental properties of one-dimensional (1D) Hubbard model with a repulsive interaction, ranging from fractional excitations to universal thermodynamics, interaction-driven criticality, correlation…

Strongly Correlated Electrons · Physics 2024-10-11 Jia-Jia Luo , Han Pu , Xi-Wen Guan

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

Using the strong coupling diagram technique, we find three phases of the half-filled isotropic Hubbard model on a triangular lattice at finite temperatures. The weak-interaction ($U\lesssim5t$) and strong-interaction ($U\gtrsim9t$) phases…

Strongly Correlated Electrons · Physics 2025-04-10 A. Sherman

The Hubbard model is a standard theoretical tool for studying materials with strong electron-electron interactions, such as the cuprate superconductors. Unfortunately, interaction-driven phenomena such as the transition into the strongly…

Strongly Correlated Electrons · Physics 2026-01-28 Peizhi Mai , Jinchao Zhao , Gaurav Tenkila , Nico A. Hackner , Dhruv Kush , Derek Pan , Philip W. Phillips

Reservoir engineering has emerged as a powerful paradigm to realize non-reciprocal dynamics in open quantum many-body systems. Here, we show that density-density interactions can transfer bath-induced non-reciprocity between different…

Quantum Physics · Physics 2026-04-09 Pietro Borchia , Johannes Knolle , Andreas Nunnenkamp

Motivated by recent experiments on a compound {displaying Ising-like short-range correlations on the triangular lattice, we study the anisotropic easy-axis spin-$1/2$ Heisenberg model on the triangular and kagome lattice} by performing…

Strongly Correlated Electrons · Physics 2024-02-19 Martin Ulaga , Jure Kokalj , Alexander Wietek , Andrej Zorko , Peter Prelovšek

We present a {\it numerically exact} study of the Hubbard model with spin-dependent anisotropic hopping on the square lattice using auxiliary-field quantum Monte Carlo method. At half filling, the system undergoes Ising phase transitions…

Strongly Correlated Electrons · Physics 2025-03-13 Zhuotao Xie , Yu-Feng Song , Yuan-Yao He

We investigate the Mott transition in the Kagom\'e lattice Hubbard model using a cluster extension of dynamical mean field theory. The calculation of the double occupancy, the density of states, the static and dynamical spin correlation…

Strongly Correlated Electrons · Physics 2009-11-11 Takuma Ohashi , Norio Kawakami , Hirokazu Tsunetsugu

The Hubbard model is a "highly oversimplified model" for electrons in a solid which interact with each other through extremely short ranged repulsive (Coulomb) interaction. The Hamiltonian of the Hubbard model consists of two pieces; H_hop…

Strongly Correlated Electrons · Physics 2008-02-03 Hal Tasaki

We investigate the onset of a not-decaying asymptotic behavior of temporal magnetic correlations in the Hubbard model in infinite dimensions. This long-term memory feature of dynamical spin correlations can be precisely quantified by…

Strongly Correlated Electrons · Physics 2022-06-08 Clemens Watzenböck , Martina Fellinger , Karsten Held , Alessandro Toschi

We investigate the dynamics of the one-dimensional strongly repulsive spin-1/2 Bose-Hubbard model for filling $\nu\le1.$ While at $\nu=1$ the system is a Hubbard-Mott insulator exhibiting dynamical properties of the Heisenberg ferromagnet,…

Other Condensed Matter · Physics 2013-05-29 M. B. Zvonarev , V. V. Cheianov , T. Giamarchi
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