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We calculate the crystal-field splitting, ground-state Kramers doublet and intersite exchange interactions within the ground-state doublet manifold using an ab initio Hubbard-I based approach for a representative set of Ce and Yb…

Strongly Correlated Electrons · Physics 2026-02-06 Leonid V. Pourovskii , Rafael D. Soares , Alexander Wietek

Using the coupled cluster method we study the phase diagram of the spin-1/2 Heisenberg antiferromagnet on a honeycomb lattice with nearest-neighbor exchange coupling $J_{1}>0$ and frustrating next-nearest-neighbor coupling $J_{2} \equiv…

Strongly Correlated Electrons · Physics 2013-09-18 R. F. Bishop , P. H. Y. Li , C. E. Campbell

We have investigated the quantum $J_1-J_2-J_3$ model on the honeycomb lattice with exact diagonalizations and linear spin-wave calculations for selected values of $J_{2}/J_{1}$, $J_{3}/J_{1}$ and antiferromagnetic ($J_{1}>0$) or…

Strongly Correlated Electrons · Physics 2009-11-07 J. B. Fouet , P. Sindzingre , C. Lhuillier

We consider the spin-1/2 antiferromagnetic Heisenberg model on a bilayer honeycomb lattice including interlayer frustration in the presence of an external magnetic field. In the vicinity of the saturation field, we map the low-energy states…

Strongly Correlated Electrons · Physics 2017-03-22 Taras Krokhmalskii , Vasyl Baliha , Oleg Derzhko , Jörg Schulenburg , Johannes Richter

The Hubbard model on an anisotropic triangular lattice in two dimensions, a fundamental model for frustrated electron physics, displays a wide variety of phases and phase transitions. This work investigates the model using the ladder dual…

Strongly Correlated Electrons · Physics 2025-07-11 Yang Yu , Shaozhi Li , Sergei Iskakov , Emanuel Gull

Motivated by the recent synthesis of two insulating Li$_2$IrO$_3$ polymorphs, where Ir$^{4+}$ $S_{eff}$=1/2 moments form 3D ("harmonic") honeycomb structures with threefold coordination, we study magnetic Hamiltonians on the resulting…

Strongly Correlated Electrons · Physics 2014-11-26 Itamar Kimchi , James G. Analytis , Ashvin Vishwanath

Ultracold Fermi gases of spin-3/2 atoms provide a clean platform to realise SO(5) models of 4-Fermi interactions in the laboratory. By confining the atoms in a two-dimensional Raman lattice, we show how this system can be used as a flexible…

Quantum Gases · Physics 2023-08-29 A. Bermudez , D. González-Cuadra , S. Hands

We study an extended spin-$1/2$ antiferromagnetic Heisenberg model on the triangular lattice, which includes both nearest- and next-nearest-neighbor interactions, as well as a scalar chiral term. This model exhibits a rich phase diagram…

Strongly Correlated Electrons · Physics 2025-08-26 Markus Drescher , Laurens Vanderstraeten , Roderich Moessner , Frank Pollmann

Motivated by the growing interest in the novel quantum phases in materials with strong electron correlations and spin-orbit coupling, we study the interplay between the spin-orbit coupling, Kondo interaction, and magnetic frustration of a…

Strongly Correlated Electrons · Physics 2019-09-04 Xin Li , Rong Yu , Qimiao Si

We present a comprehensive computational study of the phase diagram of the frustrated S=1/2 Heisenberg antiferromagnet on the honeycomb lattice, with second-nearest (J2) and third-neighbor (J3) couplings. Using a combination of exact…

Strongly Correlated Electrons · Physics 2015-03-19 A. F. Albuquerque , D. Schwandt , B. Hetényi , S. Capponi , M. Mambrini , A. M. Läuchli

We show that the Kasteleyn transition, the abrupt proliferation of infinite strings of defects in classical dimer and related models, can also be relevant for frustrated 2d quantum magnets. This is explicitly demonstrated in a phase of the…

We investigate the quantum phases of the frustrated spin-$\frac{1}{2}$ $J_1$-$J_2$-$J_3$ Heisenberg model on the square lattice with ferromagnetic $J_1$ and antiferromagnetic $J_2$ and $J_3$ interactions. Using the pseudo-fermion functional…

Strongly Correlated Electrons · Physics 2016-12-06 Yasir Iqbal , Pratyay Ghosh , Rajesh Narayanan , Brijesh Kumar , Johannes Reuther , Ronny Thomale

We investigate possible quantum ground states as well as the classical limit of a frustrated J1-J2 Heisenberg model on the three-dimensional (3D) hyperhoneycomb lattice. Our study is inspired by the recent discovery of beta-Li2IrO3, where…

Strongly Correlated Electrons · Physics 2014-11-05 SungBin Lee , Jae-Seung Jeong , Kyusung Hwang , Yong Baek Kim

Na$_4$Ir$_3$O$_8$ provides a material platform to study three-dimensional quantum spin liquids in the geometrically frustrated hyperkagome lattice of Ir$^{4+}$ ions. In this work, we consider quantum spin liquids on hyperkagome lattice for…

Strongly Correlated Electrons · Physics 2017-02-03 Biao Huang , Yong Baek Kim , Yuan-Ming Lu

Quantum phase transitions in the Hubbard model on the honeycomb lattice are investigated in the variational cluster approximation. The critical interaction for the paramagnetic to antiferromagnetic phase transition is found to be in…

Strongly Correlated Electrons · Physics 2012-09-11 K. Seki , Y. Ohta

Nanographene triangulenes with a S = 1 ground state have been used as building blocks of antiferromagnetic Haldane spin chains realizing a symmetry protected topological phase. By means of inelastic electron spectroscopy, it was found that…

Mesoscale and Nanoscale Physics · Physics 2023-07-04 J. C. G. Henriques , J. Fernández-Rossier

In this paper we study the lattice CP$^1$ model in (3+1) dimensions coupled with a dynamical compact U(1) gauge field. This model is an effective field theory of the $s={1 \over 2}$ antiferromagnetic Heisenberg spin model in three spatial…

Strongly Correlated Electrons · Physics 2009-11-13 Kenji Sawamura , Takashi Hiramatsu , Katsuhiro Ozaki , Ikuo Ichinose , Tetsuo Matsui

Spin-orbit entangled pseudospins hold promise for a wide array of exotic magnetism ranging from a Heisenberg antiferromagnet to a Kitaev spin liquid depending on the lattice and bonding geometry, but many of the host materials suffer from…

Strongly Correlated Electrons · Physics 2022-03-30 Hoon Kim , Joel Bertinshaw , J. Porras , B. Keimer , Jungho Kim , J. -W. Kim , Jimin Kim , Jonghwan Kim , Gahee Noh , Gi-Yeop Kim , Si-Young Choi , B. J. Kim

Carbon-based magnetic structures promise significantly longer coherence times than traditional magnetic materials, which is of fundamental importance for spintronic applications. An elegant way of achieving carbon-based magnetic moments is…

Mesoscale and Nanoscale Physics · Physics 2023-07-19 Qiang Sun , Xuelin Yao , Oliver Groning , Kristjan Eimre , Carlo A. Pignedoli , Klaus Müllen , Akimitsu Narita , Roman Fasel , Pascal Ruffieux

Microscopic models of quantum antiferromagnets are investigated on the basis of a mapping onto effective low energy hamiltonians. Lattice effects are carefully taken into account and their role is discussed. We show that the presence of an…

Strongly Correlated Electrons · Physics 2009-11-07 A. S. Gliozzi , A. Parola