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RuCl image1 fix (#16)
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* Fixed Typo in file name for RuClLattices.jpg

* Fix rendering issues for Image 2 and S_i
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zmorrell authored Mar 19, 2024
1 parent 4f6b178 commit 3ecb269
Showing 1 changed file with 4 additions and 4 deletions.
8 changes: 4 additions & 4 deletions notebooks/RuClExample.ipynb
Original file line number Diff line number Diff line change
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"\\end{split}\n",
"\\end{equation}\n",
"\n",
"The terms $S^{x}_{i}$, $S^{y}_{i}$, and $S^{z}_{i}$ represent the Pauli operators acting on site $i$. The terms $K_{x}$, $K_{y}$, and $K_{z}$ represent the strength of the Kitaev interaction between two sites in a given direction. The bold terms $\\bf{S_i}$ $ = [S^x_i, S^y_i, S^z_i]$ are useful for defining the Heisenberg interaction terms with strength $J$. The terms $\\Gamma$ represent the strength of off-diagonal symmetric exchange interactions between nearest neighboring sites, and the terms $\\Gamma'$ represent the effect of trigonal distortion. Lastly, the term $A$ represents the effect of single-ion anisotropy. \n",
"The terms $S^{x}_{i}$, $S^{y}_{i}$, and $S^{z}_{i}$ represent the Pauli operators acting on site $i$. The terms $K_{x}$, $K_{y}$, and $K_{z}$ represent the strength of the Kitaev interaction between two sites in a given direction. The bold terms ${\\bf{S_i}} = [S^x_i, S^y_i, S^z_i]$ are useful for defining the Heisenberg interaction terms with strength $J$. The terms $\\Gamma$ represent the strength of off-diagonal symmetric exchange interactions between nearest neighboring sites, and the terms $\\Gamma'$ represent the effect of trigonal distortion. Lastly, the term $A$ represents the effect of single-ion anisotropy. \n",
"\n",
"The connectivity of the Hamiltonian is defined directionally, as shown in Figure 1 (obtained from [[1]](https://doi.org/10.1038/s41535-019-0203-y)). As a result of the experiment being performed on the material, we need to include a time-varying Hamiltonian component, corresponding to the time-varying Zeeman terms operating on the material. This Hamiltonian is\n",
"\\begin{equation}\n",
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" H(t) = H_{material} + H_{field}(t)\n",
"\\end{equation}\n",
"\n",
"<img src=\"EmbeddedFigures/RuclLattice.jpg\" alt=\"RuCl Lattice\" width=\"400\"/>\n",
"![RuCl_Latticve](EmbeddedFigures/RuClLattice.jpg)\n",
"\n",
"##### Figure 1"
]
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"\n",
"Once all of this has been done, the state has been prepared and the dynamics may be executed.\n",
"\n",
"<img src=\"EmbeddedFigures/RuCl3_spinstructure.jpeg\" alt=\"RuCl_Spin_Structure\" width=\"800\"/>\n",
"![RuCl_Spin_Structure](EmbeddedFigures/RuCl3_spinstructure.jpeg)\n",
"\n",
"##### Figure 3"
]
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"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.11.5"
"version": "3.9.13"
}
},
"nbformat": 4,
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