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We combine the pseudofermion functional renormalization group (PFFRG) method with a self-consistent Fock-like mean-field scheme to calculate low-energy effective theories for emergent spinon excitations in spin-1/2 quantum spin liquids.…

Strongly Correlated Electrons · Physics 2019-04-03 Max Hering , Jonas Sonnenschein , Yasir Iqbal , Johannes Reuther

The spin-1/2 kagom\'{e} Heisenberg antiferromagnet is generally accepted as one of the most promising two-dimensional models to realize a quantum spin liquid state. Previous experimental efforts were almost exclusively on only one…

Strongly Correlated Electrons · Physics 2022-12-28 Xiaochen Hong , Mahdi Behnami , Long Yuan , Boqiang Li , Wolfram Brenig , Bernd Büchner , Yuesheng Li , Christian Hess

We study the one-dimensional $S=1/2$ Heisenberg model with a uniform and a staggered magnetic fields, using the dynamical density-matrix renormalization group (DDMRG) technique. The DDMRG enables us to investigate the dynamical properties…

Strongly Correlated Electrons · Physics 2007-10-19 S. Nishimoto , M. Arikawa

We apply symmetric tensor network state (TNS) to study the nearest neighbor spin-1/2 antiferromagnetic Heisenberg model on Kagome lattice. Our method keeps track of the global and gauge symmetries in TNS update procedure and in tensor…

Strongly Correlated Electrons · Physics 2017-06-16 Jia-Wei Mei , Ji-Yao Chen , Huan He , Xiao-Gang Wen

We study a class of spin-1/2 quantum antiferromagnetic chains using DMRG technique. The exchange interaction in these models decreases linearly as a function of the separation between the spins, $J_{ij} = R-|i-j|$ for $|i-j| \le R$. For the…

Strongly Correlated Electrons · Physics 2013-03-04 Bimla Danu , Brijesh Kumar , Ramesh V. Pai

The nature of quantum spin liquids is studied for the spin-$1/2$ antiferromagnetic Heisenberg model on a square lattice containing exchange interactions between nearest-neighbor sites, $J_1$, and those between next-nearest-neighbor sites,…

Strongly Correlated Electrons · Physics 2015-02-02 Satoshi Morita , Ryui Kaneko , Masatoshi Imada

We study the ground state and low-lying excitations of the S=1/2 XXZ antiferromagnet on the kagome lattice at magnetization one third of the saturation. An exponential number of non-magnetic states is found below a magnetic gap. The…

Strongly Correlated Electrons · Physics 2007-05-23 A. Honecker , D. C. Cabra , M. D. Grynberg , P. C. W. Holdsworth , P. Pujol , J. Richter , D. Schmalfuß , J. Schulenburg

We study a model of a spin S = 1/2 Heisenberg antiferromagnet on a one dimensional lattice with the local symmetry of the two dimensional kagom{\'e} lattice. Using three complementary approaches, it is shown that the low energy spectrum can…

Strongly Correlated Electrons · Physics 2009-10-31 P. Azaria , C. Hooley , P. Lecheminant , C. Lhuillier , A. M. Tsvelik

Nematic order is an exotic property observed in several strongly correlated systems, such as the iron-based superconductors. Using large-scale density matrix renormalization group (DMRG) techniques, we study at zero-temperature the nematic…

Strongly Correlated Electrons · Physics 2020-01-16 Wen-Jun Hu , Shou-Shu Gong , Hsin-Hua Lai , Qimiao Si , Elbio Dagotto

We study the ground-state properties of the spin-half Heisenberg antiferromagnet on the two-dimensional star lattice by spin-wave theory, exact diagonalization and a variational mean-field approach. We find evidence that the star lattice is…

Strongly Correlated Electrons · Physics 2007-05-23 J. Richter , J. Schulenburg , A. Honecker , D. Schmalfuß

Spin-1/2 kagome-lattice Heisenberg antiferromagnet is theoretically known to have a quantum spin liquid ground state, one of the frontiers of condensed matter physics. The search for the model substances has been continued for a long time,…

Strongly Correlated Electrons · Physics 2024-08-21 Hidekazu Tanaka

We report $^{35}$Cl NMR, ESR, $\mu$SR and specific heat measurements on the $S=1/2$ frustrated kagom\'e magnet kapellasite, $\alpha-$Cu$_3$Zn(OH)$_6$Cl$_2$, where a gapless spin liquid phase is stabilized by a set of competing exchange…

We investigate the ground state properties of the spin-$1/2$ pyrochlore Heisenberg antiferromagnet using pseudofermion functional renormalization group techniques. The first part of our analysis is based on an enhanced parton mean-field…

Strongly Correlated Electrons · Physics 2022-03-15 Max Hering , Vincent Noculak , Francesco Ferrari , Yasir Iqbal , Johannes Reuther

We investigate the magnetism of a previously unexplored distorted spin-1/2 kagome model consisting of three symmetry-inequivalent nearest-neighbor antiferromagnetic Heisenberg couplings Jhexagon, J and J', and uncover a rich ground state…

Strongly Correlated Electrons · Physics 2022-01-24 Max Hering , Francesco Ferrari , Aleksandar Razpopov , Igor I. Mazin , Roser Valenti , Harald O. Jeschke , Johannes Reuther

We revisit the issue about the magnetization of the $120^\circ$ order in the spin-1/2 triangular lattice Heisenberg model (TLHM) with Density Matrix Renormalization Group (DMRG). The accurate determination of the magnetization of this model…

Strongly Correlated Electrons · Physics 2024-03-15 Jiale Huang , Xiangjian Qian , Mingpu Qin

Antiferromagnetic Heisenberg model on the triangular lattice is perhaps the best known example of frustrated magnets, but it orders at low temperatures. Recent density matrix renormalization group (DMRG) calculations find that next nearest…

Quantum Gases · Physics 2018-05-08 Ahmet Keles , Erhai Zhao

We study the phase diagram of the spin-1 quantum bilinear-biquadratic antiferromagnet on the kagome lattice using exact diagonalization and the density matrix renormalization group algorithm. The SU(3)-symmetric point of this model…

Strongly Correlated Electrons · Physics 2016-01-29 Hitesh J. Changlani , Andreas M. Läuchli

We study the ground state of $S = 1/2$ Heisenberg model on the checkerboard lattice in a magnetic field by the density matrix renormalization group (DMRG) method with the sine-square deformation. We obtain magnetization plateaus at…

Strongly Correlated Electrons · Physics 2016-10-19 Katsuhiro Morita , Naokazu Shibata

We provide strong numerical evidence, using improved variational wave functions, for a ground state with vanishing spin gap in the spin-$1/2$ quantum Heisenberg model on the kagome lattice. Starting from the algebraic $U(1)$ Dirac spin…

Strongly Correlated Electrons · Physics 2014-01-20 Yasir Iqbal , Didier Poilblanc , Federico Becca

We investigate the ground-state and the finite-temperature properties of the bond-random $s=1/2$ Heisenberg model on a square lattice with frustrating nearest- and next-nearest-neighbor antiferromagnetic interactions, $J_1$ and $J_2$, by…

Strongly Correlated Electrons · Physics 2018-10-26 Kazuki Uematsu , Hikaru Kawamura