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A layered triangular lattice with spin-1/2 ions is an ideal platform to explore highly entangled exotic states like quantum spin liquid (QSL). Here, we report a systematic in-field neutron scattering study on a perfect two-dimensional…

Strongly Correlated Electrons · Physics 2024-07-18 Tao Xie , Jie Xing , S. E. Nikitin , S. Nishimoto , M. Brando , P. Khanenko , J. Sichelschmidt , L. D. Sanjeewa , Athena S. Sefat , A. Podlesnyak

Two-dimensional density-matrix renormalization group method is employed to examine the ground state phase diagram of the Hubbard model on the triangular lattice at half filling. The calculation reveals two discontinuities in the double…

Strongly Correlated Electrons · Physics 2017-11-20 Tomonori Shirakawa , Takami Tohyama , Jure Kokalj , Shigetoshi Sota , Seiji Yunoki

Density order is usually a consequence of the competition between long-range and short-range interactions. Here we report a density ordered superfluid emergent from a homogeneous Mott insulator due to the competition between frustrations…

Quantum Gases · Physics 2021-12-22 Ce Wang , Yu Chen

The Kondo lattice model plays a key role in our understanding of quantum materials, but a lack of small parameters has posed a long-standing problem. We present a 3 dimensional S= 1/2 Kondo lattice model describing a spin liquid within an…

Strongly Correlated Electrons · Physics 2022-10-19 Piers Coleman , Aaditya Panigrahi , Alexei Tsvelik

Chiral spin liquids (CSLs) are exotic phases of interacting spins in two dimensions, characterized by long-range entanglement and fractional excitations. We construct a local Hamiltonian on the triangular lattice that stabilizes the…

Strongly Correlated Electrons · Physics 2025-12-10 Tingyu Gao , Niklas Tausendpfund , Erik L. Weerda , Jan Naumann , Matteo Rizzi , David F. Mross

Magnetic phase diagram and Mott transition are studied in the Hubbard model on the anisotropic triangular lattice at zero temperature and half-filling by the variational cluster approximation, taking into account N\'eel, 120$^\circ$ N\'eel,…

Strongly Correlated Electrons · Physics 2015-06-18 A. Yamada

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

The existence of a quantum spin liquid (QSL) in which quantum fluctuations of spins are sufficiently strong to preclude spin ordering down to zero temperature was originally proposed theoretically more than 40 years ago, but its…

Recently, triangular lattice models have received a lot of attention since they can describe a number of strongly-correlated materials that exhibit superconductivity and various magnetic and charge orders. In this research we present an…

Strongly Correlated Electrons · Physics 2025-12-15 Aleksey Alekseev , Agnieszka Cichy , Konrad Jerzy Kapcia

Correlation functions and low-energy excitations are investigated in the asymmetric two-leg ladder consisting of a Hubbard chain and a noninteracting tight-binding (Fermi) chain using the density matrix renormalization group method. The…

Strongly Correlated Electrons · Physics 2018-09-18 Anas Abdelwahab , Eric Jeckelmann

The static and dynamic local spin susceptibility of the organic Mott insulator $\kappa$-(ET)$_2$Cu$_2$(CN)$_3$, a model material of the spin- 1/2 triangular lattice, is studied by $^{13}$C NMR spectroscopy from room temperature down to 20…

Strongly Correlated Electrons · Physics 2007-05-23 Yasuhiro Shimizu , Kazuya Miyagawa , Kazushi Kanoda , Maesato Mitsuhiko , Gunzi Saito

Quantum spin liquids provide paradigmatic examples of highly entangled quantum states of matter. Frustration is the key mechanism to favor spin liquids over more conventional magnetically ordered states. Here we propose to engineer…

Strongly Correlated Electrons · Physics 2021-11-29 Alessio Chiocchetta , Dominik Kiese , Carl Philipp Zelle , Francesco Piazza , Sebastian Diehl

The nature of the effective spin Hamiltonian and magnetic order in the honeycomb iridates is explored by considering a trigonal crystal field effect and spin-orbit coupling. Starting from a Hubbard model, an effective spin Hamiltonian is…

Strongly Correlated Electrons · Physics 2012-07-10 Subhro Bhattacharjee , Sung-Sik Lee , Yong Baek Kim

Spiral spin liquids are correlated states of matter in which a frustrated magnetic system evades order by fluctuating between a set of (nearly) degenerate spin spirals. Here, we investigate the response of spiral spin liquids to quenched…

Strongly Correlated Electrons · Physics 2024-02-29 Pedro M. Cônsoli , Matthias Vojta

We present a large-scale density matrix renormalization group (DMRG) study of the spin-$1$ SU(3) bilinear-biquadratic model on the square lattice, which was suggested to host a nematic spin liquid state in recent DMRG calculations. We…

Strongly Correlated Electrons · Physics 2021-11-23 Xiao-Tian Zhang , Wen-Jun Hu , Elbio Dagotto , Shoushu Gong

The question of the existence of a spin liquid state in the half-filled Hubbard model on the honeycomb (aka graphene) lattice is revisited. The Variational Cluster Approximation (VCA), the Cluster Dynamical Mean Field Theory (CDMFT) and the…

Strongly Correlated Electrons · Physics 2015-06-12 S. R. Hassan , David Sénéchal

We calculate the charge compressibility and uniform spin susceptibility for the two-dimensional (2D) Hubbard model slightly away from half-filling within a two-loop renormalization group scheme. We find numerically that both those…

Strongly Correlated Electrons · Physics 2009-11-11 Hermann Freire , Eberth Correa , Alvaro Ferraz

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

We investigate the effect of ring-exchange on the ground-state properties and magnetic excitations of the $S = 1/2$ Heisenberg model on the anisotropic triangular lattice with ring-exchange at $T = 0$ using linear spin-wave theory.…

Strongly Correlated Electrons · Physics 2014-05-15 Michael Holt , Ben J. Powell , Jaime Merino

We propose multi-layer moire structures in strong external magnetic fields as a novel platform for realizing highly-tunable, frustrated Hubbard physics with topological order. Identifying the layer degree of freedom as a pseudo spin, allows…

Strongly Correlated Electrons · Physics 2024-05-09 Clemens Kuhlenkamp , Wilhelm Kadow , Atac Imamoglu , Michael Knap
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