From b7de85865dab718172e3584fc0352cb674bcc760 Mon Sep 17 00:00:00 2001 From: Marco Gibertini Date: Tue, 19 Feb 2019 17:21:54 +0100 Subject: [PATCH] Fixed minor issue in the documentation of the BotzWann code, on the definition of V (total volume of the system) --- doc/compiled_docs/user_guide.pdf | Bin 1040061 -> 1066267 bytes doc/user_guide/boltzwann.tex | 2 +- 2 files changed, 1 insertion(+), 1 deletion(-) diff --git a/doc/compiled_docs/user_guide.pdf b/doc/compiled_docs/user_guide.pdf index 9f0ff31ecb42b732800b6bc65fb226b94b92f4ae..d431b52010f89d13c7e063a8395928837ad84e35 100644 GIT binary patch delta 545771 zcmZU(V{j!**sdGfwr$(CZEIpgT?$ z-d^GCXwd`;P@eRKCQv$n$Gjl?5DQA+esBN5n1#&Daj`4`q`q?;(}4=BT{>K)e!Dgqo+L#T5Qxeuq|`q&YqV3;A+ zv%b!B?Y+-#N*(R;*+gG_6kAyIinw1?%tPQrFRQD&0@?Z;2zxYldcYd=1w~Y)6S3ji zQqu1koAQnsO!c&126pFpFRb*kl7va#O5({o4-#;X#h-5vTo}X*)52xxss~``$t0jY z$w3fwfL2XK69(%VZk-jr$w^xLiwYgp0!7 zkwkX(fScLZuw=yjqiI~_%ktH~Z>4AwG*Ep_bFC$ 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\section{Theory} \Sigma_{ij}(\varepsilon) = \frac 1 V \sum_{n,\bvec k} v_i(n,\bvec k) v_j(n,\bvec k) \tau(n,\bvec k) \delta(\varepsilon - E_{n,k}). \end{equation*} -In the above formula, the sum is over all bands $n$ and all states $\bvec k$ (including spin, even if the spin index is not explicitly written here). $E_{n,\bvec k}$ is the energy of the $n-$th band at $\bvec k$, $v_i(n,\bvec k)$ is the $i-$th component of the band velocity at $(n,\bvec k)$, $\delta$ is the Dirac's delta function, $V$ is the cell volume, and finally $\tau$ is the relaxation time. In the \emph{relaxation-time approximation} adopted here, $\tau$ is assumed as a constant, i.e., it is independent of $n$ and $\bvec k$ and its value (in fs) is read from the input variable \verb#boltz_relax_time#. +In the above formula, the sum is over all bands $n$ and all states $\bvec k$ (including spin, even if the spin index is not explicitly written here). $E_{n,\bvec k}$ is the energy of the $n-$th band at $\bvec k$, $v_i(n,\bvec k)$ is the $i-$th component of the band velocity at $(n,\bvec k)$, $\delta$ is the Dirac's delta function, $V = N_k \Omega_c$ is the total volume of the system ($N_k$ and $\Omega_c$ being the number of $k$-points used to sample the Brillouin zone and the unit cell volume, respectively), and finally $\tau$ is the relaxation time. In the \emph{relaxation-time approximation} adopted here, $\tau$ is assumed as a constant, i.e., it is independent of $n$ and $\bvec k$ and its value (in fs) is read from the input variable \verb#boltz_relax_time#. \section{Files} \subsection{{\tt seedname\_boltzdos.dat}}

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