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A detailed study of the structural and magnetic properties of the spin-$3/2$ hyperkagome lattice compound Li$_2$MgMn$_3$O$_8$ is reported. This material shows ferromagnetic response below $T_{\rm C} \simeq 20.6$ K, the temperature almost…

Materials Science · Physics 2024-06-26 R. Kolay , A. Magar , A. A. Tsirlin , R. Nath

Effect of geometrical frustration in strongly-correlated metallic region is studied for the Hubbard model on the kagome lattice at half filling by a cluster extension of the dynamical mean-field theory combined with a continuous-time…

Strongly Correlated Electrons · Physics 2015-05-18 Masafumi Udagawa , Yukitoshi Motome

The hyperkagome-lattice $S=1/2$ Heisenberg ferromagnet is studied by means of the linear spin-wave theory, the double-time temperature Green's function method, high-temperature expansions series analysis, and quantum Monte Carlo simulations…

Strongly Correlated Electrons · Physics 2025-08-26 Maksym Parymuda , Taras Krokhmalskii , Oleg Derzhko

We study the entanglement spectrum of the Hubbard model at half filling on a kagome lattice. The entanglement spectrum is defined by the set of eigenvalues of reduced thermal density matrix, which is naturally obtained in the framework of…

Strongly Correlated Electrons · Physics 2015-06-22 Masafumi Udagawa , Yukitoshi Motome

We investigate the quasiparticle-mass enhancement in the Hubbard model on the frustrated kagome lattice by using a cluster extension of the dynamical mean-field theory. By analyzing the cluster density matrix, we find a hierarchy of energy…

Strongly Correlated Electrons · Physics 2015-05-18 Masafumi Udagawa , Yukitoshi Motome

Moire systems offer an exciting playground to study many-body effects of strongly correlated electrons in regimes that are not easily accessible in conventional material settings. Motivated by a recent experiment on…

Strongly Correlated Electrons · Physics 2023-06-07 Kyungmin Lee , Prakash Sharma , Oskar Vafek , Hitesh J. Changlani

We study the $J_1$-$J_2$ Ising model on the honeycomb lattice, considering ferromagnetic interactions between first neighbors ($J_1$) and antiferromagnetic interactions between second neighbors ($J_2$). Our analysis is based on the…

Statistical Mechanics · Physics 2025-09-29 Carlos H. D. Batista , M. Schmidt , F. M. Zimmer

We employ the numerical linked-cluster expansion to study finite-temperature properties of the uniform cubic lattice Hubbard model in the thermodynamic limit for a wide range of interaction strengths and densities. We carry out the…

Strongly Correlated Electrons · Physics 2016-09-13 Ehsan Khatami

Inspired by the recent experimental progress in pyrochlore derivative RE$_3$Sb$_3$A$_2$O$_{14}$ (A = Mg, Zn), we investigate the Hubbard model on the kagome lattice with an additional hopping $t'/t$, which enables continuous interpolation…

Strongly Correlated Electrons · Physics 2026-04-29 Zixuan Jia , Lufeng Zhang , Qingzhuo Duan , Zenghui Fan , Jingyao Wang , Ying Liang , Bing Huang , Tianxing Ma

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

The temperature dependence of the transport properties of the metallic phase of a frustrated Hubbard model on the hypercubic lattice at half-filling are calculated. Dynamical mean-field theory, which maps the Hubbard model onto a single…

Strongly Correlated Electrons · Physics 2009-10-31 Jaime Merino , Ross H. McKenzie

Frustrated three dimensional quantum magnets are notoriously impervious to theoretical analysis. Here we use a combination of three computational methods to investigate the three dimensional pyrochlore $S=1/2$ quantum antiferromagnet, an…

Strongly Correlated Electrons · Physics 2020-08-10 Robin Schäfer , Imre Hagymási , Roderich Moessner , David J. Luitz

The $S=1/2$ hyperkagome-lattice Heisenberg antiferromagnet allows to study the interplay of geometrical frustration and quantum as well as thermal fluctuations in three dimensions. We use 16 terms of a high-temperature series expansion…

Strongly Correlated Electrons · Physics 2024-09-04 Taras Hutak , Taras Krokhmalskii , Jürgen Schnack , Johannes Richter , Oleg Derzhko

For the paradigmatic frustrated spin-half Heisenberg antiferromagnet on the kagome lattice we performed large-scale numerical investigation of thermodynamic functions by means of the finite-temperature Lanczos method for system sizes of up…

Strongly Correlated Electrons · Physics 2018-10-03 J. Schnack , J. Schulenburg , J. Richter

Over the last decade, the interest in the spin-$1/2$ Heisenberg antiferromagnet (HAF) on the square-kagome (also called shuriken) lattice has been growing as a model system of quantum magnetism with a quantum paramagnetic ground state,…

Strongly Correlated Electrons · Physics 2022-05-05 Johannes Richter , Oleg Derzhko , Jürgen Schnack

The infinite-dimensional Hubbard model is studied by means of a modified perturbation theory. The approach reduces to the iterative perturbation theory for weak coupling. It is exact in the atomic limit and correctly reproduces the…

Strongly Correlated Electrons · Physics 2009-10-30 T. Wegner , M. Potthoff , W. Nolting

For the spin-$\frac{1}{2}$ Heisenberg antiferromagnet on the Kagom\'e lattice we calculate the high temperature series for the specific heat and the structure factor. A comparison of the series with exact diagonalisation studies shows that…

Condensed Matter · Physics 2009-10-22 N. Elstner , A. P. Young

The geometric frustration of the spin-1/2 Ising-Heisenberg model on the triangulated Kagome (triangles-in-triangles) lattice is investigated within the framework of an exact analytical method based on the generalized star-triangle mapping…

Statistical Mechanics · Physics 2009-11-13 Jozef Strecka , Lucia Canova , Michal Jascur , Masayuki Hagiwara

Employing numerical linked-cluster expansions (NLCEs) along with exact diagonalizations of finite clusters with periodic boundary condition, we study the energy, specific heat, entropy, and various susceptibilities of the antiferromagnetic…

Strongly Correlated Electrons · Physics 2011-04-25 Ehsan Khatami , Marcos Rigol

Imperfections in correlated materials can alter their ground state as well as finite-temperature properties in significant ways. Here, we develop a method based on numerical linked-cluster expansions for calculating exact finite-temperature…

Strongly Correlated Electrons · Physics 2019-05-15 Michael Mulanix , Demetrius Almada , Ehsan Khatami
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