# Quantum and classical spins on the spatially distorted kagomé lattice: Applications to volborthiteCu3V2O7(OH)2∙2H2O

@article{Wang2007QuantumAC, title={Quantum and classical spins on the spatially distorted kagom{\'e} lattice: Applications to volborthiteCu3V2O7(OH)2∙2H2O}, author={Fa Wang and Ashvin Vishwanath and Yong Baek Kim}, journal={Physical Review B}, year={2007}, volume={76} }

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 despite the distortion, the lattice retains a great deal of frustration. Although sub-extensive, the classical ground state degeneracy remains very large, growing exponentially with the system perimeter. We consider degeneracy lifting by thermal and quantum…

## 21 Citations

### Persistence of the gapless spin liquid in the breathing kagome Heisenberg antiferromagnet

- Physics
- 2018

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…

### Local study of the insulating quantum kagome antiferromagnets YCu3(OH)6OxCl3−x(x=0,1/3)

- Physics, Materials SciencePhysical Review Materials
- 2019

The quantum kagome antiferromagnets YCu3(OH)6OxCl3-x (x=0,1/3) are produced using a unified solid state synthesis route for polycrystalline samples. From structural refinements based on neutron…

### Topological magnetic excitations on the distorted kagomé antiferromagnets: Applications to volborthite, vesignieite, and edwardsite

- Physics
- 2017

In this letter, we identify a noncoplanar chiral spin texture on the distorted kagomé-lattice antiferromagnets induced by the presence of a magnetic field applied perpendicular to the distorted…

### Spatially anisotropic Heisenberg kagome antiferromagnet

- Physics, Materials Science
- 2008

We study the quasi-one-dimensional limit of the spin-1/2 quantum Heisenberg antiferromagnet on the kagome lattice. The lattice is divided into antiferromagnetic spin chains (exchange $J$) that are…

### Correlations in the Ising antiferromagnet on the anisotropic kagome lattice

- Physics
- 2011

We study the correlation function of middle spins, i.e. of spins on intermediate sites between two adjacent parallel lattice axes, of the spatially anisotropic Ising antiferromagnet on the kagome…

### Thermodynamic Properties of the Kagome Lattice in Volborthite

- Physics
- 2010

Thermodynamic investigations on volborthite (Cu3V2O7(OH)2 2H2O), which possesses a two-dimensional kagome structure of S-1/2 spins, are presented. The low-temperature heat capacities of volborthite…

### Distorted Kagome Lattice Generated by a Unique Orbital Arrangement in the Copper Mineral KCu3As2O7(OH)3

- Physics
- 2012

We study polycrystalline samples of KCu 3 As 2 O 7 (OH) 3 , a new candidate spin-1/2 kagome antiferromagnet, by magnetic susceptibility and heat capacity measurements above 2 K. The unique…

### Exotic Phases In Geometrically Frustrated Quantum Magnets

- Physics
- 2013

Exotic Phases in Geometrically Frustrated Quantum Magnets Tyler Dodds Doctor of Philosophy Graduate Department of Physics University of Toronto 2013 Quantum magnetic materials provide pathways to…

### Semiclassical theory for liquidlike behavior of the frustrated magnet Ca 10 Cr 7 O 28

- Physics
- 2018

We identify the low energy effective Hamiltonian that is expected to describe the low temperature properties of the frustrated magnet $\mathrm{Ca}_{10}\mathrm{Cr}_{7}\mathrm{O}_{28}$. Motivated by…

### Strain-induced topological magnon phase transitions: applications to kagome-lattice ferromagnets

- PhysicsJournal of physics. Condensed matter : an Institute of Physics journal
- 2018

It is shown that the magnon bands in the strained (distorted) kagome-lattice ferromagnets realize an example of a topological magnon phase transition in the realistic parameter regime of the system.

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