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We numerically study the spin-1/2 antiferromagnetic Heisenberg model on the kagom\'{e} lattice using the density-matrix renormalization group (DMRG) method. We find that the ground state is a magnetically disordered spin liquid,…

强关联电子 · 物理学 2008-09-11 H. C. Jiang , Z. Y. Weng , D. N. Sheng

Entanglement renormalization techniques are applied to numerically investigate the ground state of the spin-1/2 Heisenberg model on a kagome lattice. Lattices of N={36,144,inf} sites with periodic boundary conditions are considered. For the…

强关联电子 · 物理学 2015-05-13 G. Evenbly , G. Vidal

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,…

强关联电子 · 物理学 2024-08-21 Hidekazu Tanaka

Employing complementary torque magnetometry and electron spin resonance on single crystals of herbertsmithite, the closest realization to date of a quantum kagome antiferromagnet featuring a spin-liquid ground state, we provide novel…

强关联电子 · 物理学 2017-01-06 A. Zorko , M. Herak , M. Gomilšek , J. van Tol , M. Velázquez , P. Khuntia , F. Bert , P. Mendels

Spin liquids are exotic phases of quantum matter challenging Landau's paradigm of symmetry-breaking phase transitions. Despite strong exchange interactions, spins do not order or freeze down to zero temperature. While well-established for…

强关联电子 · 物理学 2020-04-22 P. Khuntia , M. Velazquez , Q. Barthélemy , F. Bert , E. Kermarrec , A. Legros , B. Bernu , L. Messio , A. Zorko , P. Mendels

We investigate the impact of the spin-phonon coupling on the S=1/2 Heisenberg model on the kagome lattice. For the pure spin model, there is increasing evidence that the low-energy properties can be correctly described by a Dirac spin…

强关联电子 · 物理学 2024-04-19 Francesco Ferrari , Federico Becca , Roser Valenti

We perform an extensive density matrix renormalization group (DMRG) study of the ground-state phase diagram of the spin-1/2 J_1-J_2 Heisenberg model on the kagome lattice. We focus on the region of the phase diagram around the kagome…

强关联电子 · 物理学 2015-03-26 Fabian Kolley , Stefan Depenbrock , Ian P. McCulloch , Ulrich Schollwöck , Vincenzo Alba

The properties of ground state of spin-$\frac{1}{2}$ kagome antiferromagnetic Heisenberg (KAFH) model have attracted considerable interest in the past few decades, and recent numerical simulations reported a spin liquid phase. The nature of…

强关联电子 · 物理学 2019-07-10 Shenghan Jiang , Panjin Kim , Jung Hoon Han , Ying Ran

We study the energy and the static spin structure factor of the ground state of the spin-1/2 quantum Heisenberg antiferromagnetic model on the kagome lattice. By the iterative application of a few Lanczos steps on accurate projected…

强关联电子 · 物理学 2015-03-20 Yasir Iqbal , Federico Becca , Sandro Sorella , Didier Poilblanc

A number of experiments on the hyperkagome iridate, Na$_4$Ir$_3$O$_8$, suggest existence of a gapless quantum spin liquid state at low temperature. Circumventing the slave particle approach commonly used in theoretical analyses of…

强关联电子 · 物理学 2016-12-07 Yuan Wan , Yong Baek Kim

The ground state of the $S=1/2$ kagome Heisenberg antiferromagnet is now recognized as a spin liquid, but its precise nature remains unsettled, even if more and more clues point towards a gapless spin liquid. We use high temperature series…

强关联电子 · 物理学 2020-04-22 Bernard Bernu , Laurent Pierre , Karim Essafi , Laura Messio

We study an antiferromagnetic spin-1/2 model with up to third nearest-neighbor couplings on the Kagome lattice in the easy-axis limit, and show that its low-energy dynamics are governed by a four site XY ring exchange Hamiltonian. Simple…

强关联电子 · 物理学 2009-11-07 L. Balents , M. P. A. Fisher , S. M. Girvin

We determine dynamical response functions of the S=1/2 Heisenberg quantum antiferromagnet on the kagome lattice based on large-scale exact diagonalizations combined with a continued fraction technique. The dynamical spin structure factor…

强关联电子 · 物理学 2009-01-09 Andreas Laeuchli , Claire Lhuillier

Nearest-neighbor interacting S = 1/2 spins on the ideal Kagom\'{e} lattice are predicted to form a variety of novel quantum entangled states, including quantum spin-liquid (SL) and valence bond solid (VBS) phases. In real materials, the…

The nature of the ground state of the spin $S=1/2$ Heisenberg antiferromagnet on the kagome lattice with breathing anisotropy (i.e., with different superexchange couplings $J_{\vartriangle}$ and $J_{\triangledown}$ within elementary up- and…

强关联电子 · 物理学 2018-03-16 Yasir Iqbal , Didier Poilblanc , Ronny Thomale , Federico Becca

We use the coupled cluster method to study the zero-temperature properties of an extended two-dimensional Heisenberg antiferromagnet formed from spin-1/2 moments on an infinite spatially anisotropic kagome lattice of corner-sharing…

强关联电子 · 物理学 2012-12-05 P. H. Y. Li , R. F. Bishop , C. E. Campbell , D. J. J. Farnell , O. Götze , J. Richter

We give a physical picture of the low-energy sector of the spin 1/2 Heisenberg Kagome antiferromagnet (KAF). It is shown that Kagome lattice can be presented as a set of stars which are arranged in a triangular lattice and contain 12 spins.…

强关联电子 · 物理学 2007-05-23 A. V. Syromyatnikov , S. V. Maleyev

We address the problem of a lightly doped spin-liquid through a large-scale density-matrix renormalization group (DMRG) study of the $t$-$J$ model on a Kagome lattice with a small but non-zero concentration, $\delta$, of doped holes. It is…

强关联电子 · 物理学 2017-08-16 Hong-Chen Jiang , T. Devereaux , S. A. Kivelson

Using series expansions around the dimer limit, we show that the ground state of the Heisenberg Antiferromagnet on the Kagome Lattice appears to be a Valence Bond Crystal (VBC) with a 36-site unit cell, and an energy per site of…

强关联电子 · 物理学 2009-11-13 Rajiv R. P. Singh , David A. Huse

Starting with the sqrt{3} x sqrt{3} and the q=0 states as reference states we use the coupled cluster method to high orders of approximation to investigate the ground state of the Heisenberg antiferromagnet on the kagome lattice for spin…

强关联电子 · 物理学 2012-01-04 O. Götze , D. J. J. Farnell , R. F. Bishop , P. H. Y. Li , J. Richter