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Proposed is a generalization of Jordan-Wigner transform that allows to exactly fermionize a large family of quantum spin Hamiltonians in dimensions higher than one. The key new steps are to enlarge the Hilbert space of the original model by…

Strongly Correlated Electrons · Physics 2014-11-20 Victor Galitski

We consider an exactly solvable version of the quantum spin-1/2 orthogonal-dimer chain with the Heisenberg intra-dimer and Ising inter-dimer couplings. The investigated quantum spin system exhibits at zero temperature fractional plateaux at…

Statistical Mechanics · Physics 2014-10-21 T. Verkholyak , J. Strecka

We perform a systematic investigation on the hexagon-singlet solid (HSS) states, which are a class of spin liquid candidates for the spin-1 kagome antiferromagnet. With the Schwinger boson representation, we show that all HSS states have…

Strongly Correlated Electrons · Physics 2015-06-26 Wei Li , Andreas Weichselbaum , Jan von Delft , Hong-Hao Tu

In Volborthite, spin-1/2 moments form a distorted Kagom\'e lattice, of corner sharing isosceles triangles with exchange constants $J$ on two bonds and $J'$ on the third bond. We study the properties of such spin systems, and show that…

Strongly Correlated Electrons · Physics 2007-09-29 Fa Wang , Ashvin Vishwanath , Yong Baek Kim

We study fractionalization in a spin-liquid Mott insulator defined by a Gutzwiller projected BCS state |0> at half-filling. We construct a trial vison (Z2 vortex) state |V> by projecting an hc/2e vortex and determine when it is orthogonal…

Strongly Correlated Electrons · Physics 2013-05-29 Arun Paramekanti , Mohit Randeria , Nandini Trivedi

Spin-1/2 Heisenberg model on kagome lattice is a typical frustrated quantum spin system. A basic structure of kagome lattice is also present in kagome-strip lattice in one dimension, where a similar type of frustration is expected. We thus…

Strongly Correlated Electrons · Physics 2018-01-19 K. Morita , T. Sugimoto , S. Sota , T. Tohyama

We study the exact low energy spectra of the spin 1/2 Heisenberg antiferromagnet on small samples of the kagom\'e lattice of up to N=36 sites. In agreement with the conclusions of previous authors, we find that these low energy spectra…

Statistical Mechanics · Physics 2009-10-31 Ch. Waldtmann , H. -U. Everts , B. Bernu , P. Sindzingre , C. Lhuillier , P. Lecheminant , L. Pierre

We show that the best variational ground state of the spin-$\frac{1}{2}$ Kagome antiferromagnetic Heisenberg model with nearest-neighboring exchange coupling(NN-KAFH) is a $Z_{2}$ spin liquid state, rather than the widely believed $U(1)$…

Strongly Correlated Electrons · Physics 2018-07-26 Tao Li

We have performed large scale variational search for the best RVB ansatz for the spin-$\frac{1}{2}$ kagome antiferromagnet with both nearest-neighboring(NN) and next-nearest-neighboring(NNN) exchanges assuming only translational symmetry.…

Strongly Correlated Electrons · Physics 2016-01-12 Tao Li

We prepared a powder sample of edwardsite Cd2Cu3(SO4)2(OH)6 4H2O, which is a new candidate compound for the spin-1/2 kagome antiferromagnet, and studied its magnetic properties by magnetic susceptibility and heat capacity measurements.…

Materials Science · Physics 2015-06-15 Hajime Ishikawa , Yoshihiko Okamoto , Zenji Hiroi

The metal-organic-framework (MOF) compound Cu$_3$(HOTP)$_2$, a.k.a. Cu$_3$(HHTP)$_2$, is a small-gap semiconductor containing a kagome lattice of antiferromagnetically coupled $S$=1/2 Cu$^\mathrm{II}$ spins with intra-layer nearest-neighbor…

Strongly Correlated Electrons · Physics 2024-11-28 F. L. Pratt , D. Lopez-Alcala , V. Garcia-Lopez , M. Clemente-Leon , J. J. Baldovi , E. Coronado

Magnetic and topological properties along with quantum correlations in terms of several entanglement measures have been investigated for an antiferromagnetic spin-1/2 XY model in the presence of transverse magnetic field and XZX$-$YZY type…

Mesoscale and Nanoscale Physics · Physics 2024-05-20 Rakesh Kumar Malakar , Asim Kumar Ghosh

Motivated by several experimental efforts to understand spin diffusion and transport in ultracold fermionic gases, we study the spin dynamics of initially spin-polarized ensembles of harmonically trapped non-interacting spin-1/2 fermionic…

Quantum Gases · Physics 2015-09-16 Andrew P. Koller , Joshua Mundinger , Michael L. Wall , Ana Maria Rey

We study the S=1/2 Heisenberg antiferromagnet on the pyrochlore lattice in the limit of strong easy-axis exchange anisotropy. We find, using only standard techniques of degenerate perturbation theory, that the model has a U(1) gauge…

Strongly Correlated Electrons · Physics 2007-05-23 Michael Hermele , Matthew P. A. Fisher , Leon Balents

We study the (de)localization phenomena of one-component lattice fermions in spin backgrounds. The O(3) classical spin variables on sites fluctuate thermally through the ordinary nearest-neighbor coupling. Their complex two-component…

Strongly Correlated Electrons · Physics 2018-11-21 Tetsuya Takaishi , Kazuhiko Sakakibara , Ikuo Ichinose , Tetsuo Matsui

Through exact diagonalization study of the spin - 1/2 Heisenberg model on Kagome lattice with ring-exchange coupling $J_{r}$, we find the pure Heisenberg model with $J_{r}=0$ stands as a quantum critical point, as evidenced by avoided level…

Strongly Correlated Electrons · Physics 2011-07-01 Tao Li

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

The properties of the groundstate and first excitations of 2dimensionnal quantum antiferromagnets are rapidly sketched. A special emphasis is put on the gapped phases: Valence Bond Crystals and the two types of Spin Liquids. New results on…

Strongly Correlated Electrons · Physics 2007-05-23 C. Lhuillier , P. Sindzingre

Neutron spectroscopy and diffuse neutron scattering on herbertsmithite [ZnCu3 (OH)6Cl2], a near-ideal realisation of the s = 1/2 kagome antiferromagnet, reveal the hallmark property of a quantum spin liquid; instantaneous short-ranged…

Strongly Correlated Electrons · Physics 2009-12-21 M. A. de Vries , J. R. Stewart , P. P. Deen , J. O. Piatek , G. J. Nilsen , H. M. Ronnow , A. Harrison

We consider the easy-plane anisotropic spin-1/2 Heisenberg chain in combined uniform longitudinal and transverse staggered magnetic fields. The low-energy limit of his model is described by the sine-Gordon quantum field theory. Using…

Strongly Correlated Electrons · Physics 2009-01-06 Igor Kuzmenko , Fabian H. L. Essler