% ****** Start of file apssamp.tex ******
%
%   This file is part of the APS files in the REVTeX 4 distribution.
%   Version 4 beta 4 of REVTeX, May 24, 2000
%
%   Copyright (c) 2000 The American Physical Society.
%
%   See the REVTeX 4 README file for restrictions and more information.
%
% TeX'ing this file requires that you have AMS-LaTeX 2.0 installed.
% See the REVTeX 4 README file
% It also requires running BibTeX. The commands are as follows:
%
%  1)  latex apssamp.tex
%  2)  bibtex apssamp
%  3)  latex apssamp.tex
%  4)  latex apssamp.tex
%
\documentclass[twocolumn,showpacs]{revtex4}

% Some other (several out of many) possibilities
%\documentclass[preprint,eqsecnum,aps]{revtex4}
%\documentclass[eqsecnum,aps,draft]{revtex4}
%\documentclass[prb]{revtex4}% Physical Review B

\usepackage{graphicx}%
\usepackage{dcolumn}
\usepackage{amsmath}

% NOTICE: the following definitions are only for the sake of formatting
% the LaTeX commands incorporated into this particular document. 
% You will not need them for a typical Physical Review paper;
% you should *not* include them in your own documents.
\makeatletter
\def\btt#1{\texttt{\@backslashchar#1}}%
\DeclareRobustCommand\bblash{\btt{\@backslashchar}}%
\makeatother

%\nofiles

\begin{document}

\preprint{HEP/123-qed}

\title[Short Title]{Manuscript Title:\\
with Forced Linebreak}% Force line breaks with \\

\author{Ann  Author}
 \thanks{Also at Physics Department, XYZ University.}%Lines break automatically or can be forced with \\
\author{Second Author}%
 \email{Second.Author@institution.edu}
\affiliation{%
Authors' institution and/or address\\
This line break forced% with \\
}%

\author{Charlie Author}
 \homepage{http://www.Second.institution.edu/~Charlie.Author}
\affiliation{
Second institution and/or address\\
This line break forced% with \\
}%

\date{\today}% It is always \today, today, but you may specify any date with \date.

\begin{abstract}
An article usually includes an abstract, a concise summary of the work
covered at length in the main body of the article.  It is used for
secondary publications and for information retrieval purposes.  Valid
PACS numbers may be entered using the \verb+\pacs{#1}+ command.
\end{abstract}

\pacs{Valid PACS appear here}% PACS, the Physics and Astronomy Classification Scheme.

\maketitle

\tableofcontents

\section{First-level heading:\protect\\ The line break was forced via \bblash}
\label{sec:level1}

Here is the first sentence in Sec.~\ref{sec:level1}, demonstrating
section cross-referencing. 
%Note that this sample file was run with the eqsecnum option selected.
Here is an open-face one: $\openone$.

\subsection{Second-level heading:\protect\\ The line break was forced via \bblash}
\label{sec:level2}

Here is the first sentence in Sec.~\ref{sec:level2}, demonstrating
section cross-referencing.
The environment \texttt{widetext}
will make the text the width of the full page, as on page~\pageref{wideeq}.
A blank input line tells \TeX\ that the paragraph has ended.

The width-changing commands only take effect in twocolumn style; the default
is preprint style, which gives output of a constant width.

This file may be run in both preprint and twocolumn styles. Preprint
format may be used for submission purposes. Twocolumn format is used to mimic
final journal output. 

When commands are referred to in this example file, they are always
shown with their required arguments, using normal \TeX{} format. In
this format, \verb+#1+, \verb+#2+, etc. stand for required
author-supplied arguments to commands.  For example, in
\verb+\section{#1}+ the \verb+#1+ stands for the title text of the
author's section heading, and in \verb+\title{#1}+ the \verb+#1+
stands for the title text of the paper.

Reference citations in text use the commands \verb+\cite{#1}+ or
\verb+\onlinecite{#1}+.  \verb+#1+ may contain letters and numbers.
In the reference section of this paper each reference is ``tagged'' by
the \verb+\bibitem{#1}+ command.  \verb+#1+ should be \emph{identical}
in both commands.

The form for citing in text is \verb+\cite{#1}+, and the result is
shown here \cite{smith82,jones78}.  When needing to explicitly use the
word, ``Reference'', e.g., at the beginning of a sentence, use
\verb+\onlinecite{#1}+ (Refs.~\onlinecite{smith82} and
\onlinecite{jonessmith80}).  It is worth mentioning that REV\TeX{}
``collapses'' lists of reference numbers where possible.  We now cite
everyone together \cite{smith82,jones78,jonessmith80}, and once again
(Refs.~\onlinecite{smith82,jones78,jonessmith80}).

When the {\tt prb} class option is used, the command
\verb+\onlinecite{#1}+ will put the reference citations on-line: this
effect appears in the preceding paragraph.  Note that the location of
citations must be adjusted to the reference style: the superscript
references in {\tt prb} style must appear after punctuation; other
styles must appear before any punctuation%
\footnote{%
 Authors are encouraged to use
 {\rm B{\sc ib}\TeX}\/ and prsty.bst
 to create their reference list in proper APS style.
 Instructions can be requested by e-mail (\protect\url{mailto:mis@aps.org}).
}.
This sample was written for the regular (non-{\tt prb}) citation
style, but invoking the {\tt prb} option will show the results of the
command \verb+\onlinecite{#1}+ in the preceding paragraph.

\section{Displayed equations}

\subsection{Another second-level heading}

\subsubsection{Third-level heading:\protect\\ The line break was forced via \bblash}
\label{sec:level3}

Here is the first sentence in Sec.~\ref{sec:level3}, demonstrating
section cross-referencing.  In \LaTeX\ there are many different ways
to display equations, and a few preferred ways are noted below.
Displayed math will center by default.

\paragraph{Fourth-level heading: Single-line equations.}
Below we have numbered single-line equations; this is the most common
type of equation in {\it Physical Review\/}:
\begin{eqnarray}
\chi_+(p)\alt{\bf [}2|{\bf p}|(|{\bf p}|+p_z){\bf ]}^{-1/2}
\left(
\begin{array}{c}
|{\bf p}|+p_z\\
px+ip_y
\end{array}\right)\;,
\\
\left\{%
 \openone234567890abc123\alpha\beta\gamma\delta1234556\alpha\beta
 \frac{1\sum^{a}_{b}}{A^2}%
\right\}%
\label{one}.
\end{eqnarray}
Note the open one in Eq.~(\ref{one}).

Not all numbered equations will fit within a narrow column this
way. The equation number will move down automatically if it cannot fit
on the same line with a one-line equation:
\begin{equation}
\left\{
 ab12345678abc123456abcdef\alpha\beta\gamma\delta1234556\alpha\beta
 \frac{1\sum^{a}_{b}}{A^2}%
\right\}.
\end{equation}

When the \verb+\label{#1}+ command is used [cf. input for
Eq.~(\ref{one})], the equation can be referred to in text without your
knowing the equation number that \TeX\ will assign to it. Just use
\verb+\ref{#1}+, where \verb+#1+ is the same name that you used in the
\verb+\label{#1}+ command.

If you have a single-line equation that you don't want numbered, you
can use the \btt{[}, \btt{]} format:
\[g^+g^+ \rightarrow g^+g^+g^+g^+ \dots ~,~~q^+q^+\rightarrow
q^+g^+g^+ \dots ~. \]

\subsubsection{Multiline equations}

Multiline equations are obtained by using the
\btt{begin$\{$eqnarray$\}$}, \btt{end$\{$eqnarray$\}$} format.
Use the \btt{nonumber}
command at the end of each line where you do not want a number:
\begin{eqnarray}
{\cal M}=&&ig_Z^2(4E_1E_2)^{1/2}(l_i^2)^{-1}
\delta_{\sigma_1,-\sigma_2}
(g_{\sigma_2}^e)^2\chi_{-\sigma_2}(p_2)\nonumber\\
&&\times
[\epsilon_jl_i\epsilon_i]_{\sigma_1}\chi_{\sigma_1}(p_1),
\end{eqnarray}
\begin{eqnarray}
\sum \vert M^{\rm viol}_g \vert ^2&=&g^{2n-4}_S(Q^2)~N^{n-2}
        (N^2-1)\nonumber \\
 & &\times \left( \sum_{i<j}\right)
  \sum_{\rm perm}
 \frac{1}{S_{12}}
 \frac{1}{S_{12}}
 \sum_\tau c^f_\tau~.
\end{eqnarray}
{\bf Note:} do not use \verb+\label{#1}+ on a line of a multiline
equation if \verb+\nonumber+ is also used on that line. Incorrect
cross-referencing will result.

If you wish to set a multiline equation without \emph{any} equation
numbers, you can use the \verb+\begin{eqnarray*}+,
\verb+\end{eqnarray*}+ format:
\begin{eqnarray*}
\sum \vert M^{\rm viol}_g \vert ^2&=&g^{2n-4}_S(Q^2)~N^{n-2}
        (N^2-1)\\
 & &\times \left( \sum_{i<j}\right)
 \left(
  \sum_{\rm perm}\frac{1}{S_{12}S_{23}S_{n1}}
 \right)
 \frac{1}{S_{12}}~.
\end{eqnarray*}
To obtain numbers not normally produced by the automatic numbering,
use the \verb+\tag{#1}+ command, where \verb+#1+ is the desired
equation number. For example, to get an equation number of
(\ref{eq:mynum}),
\begin{equation}
g^+g^+ \rightarrow g^+g^+g^+g^+ \dots ~,~~q^+q^+\rightarrow
q^+g^+g^+ \dots ~. \tag{2.6$'$}\label{eq:mynum}
\end{equation}

{\it A few notes on} \verb=\eqnum{#1}=.  The \verb+\eqnum{#1}+ must
come before the \verb+\label{#1}+, if any.  The numbering set with
\verb+\eqnum{#1}+ is {\it transparent} to the automatic numbering in
REV\TeX{}; therefore, you must know the number ahead of time, and {\it
must\/} make sure that the number set with \verb+\eqnum{#1}+ stays in
step with the automatic numbering.  \verb+\eqnum{#1}+ works with both
single-line and multiline equations.  You could, if you wished, do all
the numbering in a paper manually with \verb+\eqnum{#1}+.

Enclosing single-line and multiline equations in
\verb+\begin{subequations}+ and \verb+\end{subequations}+ will produce
a set of equations that are ``numbered'' with letters, as shown in
Eqs.~(\ref{mlett:1}) and (\ref{mlett:2}) below:
\begin{subequations}
\label{generallabel}
\begin{equation}
\left\{
 abc123456abcdef\alpha\beta\gamma\delta1234556\alpha\beta
 \frac{1\sum^{a}_{b}}{A^2}
\right\},\label{mlett:1}
\end{equation}
\begin{eqnarray}
{\cal M}=&&ig_Z^2(4E_1E_2)^{1/2}(l_i^2)^{-1}
(g_{\sigma_2}^e)^2\chi_{-\sigma_2}(p_2)\nonumber\\
&&\times
[\epsilon_i]_{\sigma_1}\chi_{\sigma_1}(p_1).\label{mlett:2}
\end{eqnarray}
\end{subequations}
If you use a \verb+\label{#1}+ command right after the
\verb+\begin{subequations}+, then \verb+\ref{#1}+ can be used to
reference all the equations in a subequations environment. For
example, the equations in the preceding subequations environment were
Eqs.~(\ref{generallabel}).

\subsubsection{Wide equations}
The equation that follows is set in a wide format, i.e., it spans
across the full page.  The wide format is reserved for long equations
that cannot be easily broken into four lines or less:
\begin{widetext}
\begin{equation}
{\cal R}^{(\rm d)}=
 g_{\sigma_2}^e
 \left(
   \frac{[\Gamma^Z(3,21)]_{\sigma_1}}{Q_{12}^2-M_W^2}
  +\frac{[\Gamma^Z(13,2)]_{\sigma_1}}{Q_{13}^2-M_W^2}
 \right)
 + x_WQ_e
 \left(
   \frac{[\Gamma^\gamma(3,21)]_{\sigma_1}}{Q_{12}^2-M_W^2}
  +\frac{[\Gamma^\gamma(13,2)]_{\sigma_1}}{Q_{13}^2-M_W^2}
 \right)\;. \label{wideeq}
\end{equation}
\end{widetext}
This is typed so you can see that the output is in wide format.
(Since there is no input line between \btt{end$\{$equation$\}$} and
this paragraph, there is no paragraph indent for this paragraph.) We
also have
\begin{widetext}
\begin{equation}
{\cal R}^{(f)}=-g^3\delta_{\sigma_1,\sigma_2}
 \left(
 \frac{g^e_{\sigma_2}D_Z}{\cos\theta_W}
 - Q_eD_\gamma\cos\theta_W
 \right)
 \left(
  \frac{[\epsilon_3]_{\sigma_1}}{Q^2_{12}-M^2_W/\xi}
  \epsilon_1\cdot\epsilon_2 +
  \frac{[\epsilon_2]_{\sigma_1}}{Q^2_{13}-M^2_W/\xi}
  \epsilon_1\cdot\epsilon_3
 \right)\;.
\end{equation}
\end{widetext}

\section{Figures, Tables, and Cross-referencing}
REV\TeX{} will automatically number sections, equations, figure
captions, and tables. In order to reference them in text, use the
\verb+\label{#1}+ and \verb+\ref{#1}+ commands.

The \verb+\label{#1}+ command appears following a section heading;
within an equation; or within a figure or table environment, inside of
or following the caption.  The \verb+\ref{#1}+ command appears in text
where citation is to occur.  We will refer to the first figure
(Fig.~\ref{autonum})%
\begin{figure}[bp]
\includegraphics{fig_1}% Here is how to import EPS art
\caption{A figure caption.  The figure captions are automatically
numbered.}
\label{autonum}
\end{figure}
here. We can refer to the ``later figure'' also
(Fig.~\ref{latefigure}).%
\begin{figure}[bp]
\includegraphics{fig_1}% Here is how to import EPS art
\caption{The ``late figure.'' This figure was inserted when the paper
was finished.  Since the figures are automatically numbered,
no renumbering in text was necessary. All that
needed to be done was to type the caption in the
proper place and cite the figure in text.}
\label{latefigure}
\end{figure}

References to figures: Fig.~\ref{autonum}, Fig.~\ref{latefigure},
Fig.~\ref{reduced},%
\begin{figure*}
\caption{A figure caption. Use the figure* environment to get a wide figure.}
\label{reduced}
\includegraphics{fig_2}% Here is how to import EPS art
\end{figure*}
and Fig.~\ref{fig4}.%
\begin{figure}
\includegraphics{fig_1}% Here is how to import EPS art
\caption{A figure caption.  The labels you give tables and figures
can be descriptive (as that of Fig.~\ref{autonum}, which has
a  \btt{label}$\{${\tt autonum}$\}$) or they can
reflect their numerical
order, as that of this figure
(\btt{label}$\{${\tt fig4}$\}$).\label{fig4}}
\end{figure}

References to tables:
Table \ref{table1},%
\begin{table}
\caption{This is a narrow table, which occupies the entire width of a
narrow column. We have used the star-form of the tabular environment
to set the table on this width, and we have put \btt{extracolsep} glue
between columns to provide for the necessary padding.  Table captions
are numbered automatically.  This table illustrates left-aligned,
centered, and right-aligned columns. It also shows one of two possible
methods of setting footnotes within a table. In this table the
footnotes are numbered and set automatically.  Simply use
\btt{footnote$\{$\#1$\}$} to set a footnote mark and its text.
\label{table1}}
\begin{ruledtabular}
\begin{tabular*}{\hsize}{l@{\extracolsep{0ptplus1fil}}c@{\extracolsep{0ptplus1fil}}r}
One\footnote{Note a.}&Two\footnote{Note b.}&Three\\
\colrule
one&two&three\\
one&two&three\\
\end{tabular*}
\end{ruledtabular}
\end{table}
Table \ref{table2},%
\begin{table}
\caption{This is a table of medium width.  This table shows footnotes
numbered manually.  In this approach, \btt{footnotemark[\#1]} is used
to produce the footnote mark. {\tt\#1} is a numeric value. Each time
the same value for {\tt\#1} is used, the same mark is produced in the
table. After the end of the tabular environment,
\btt{footnotetext[\#1]$\tt\{$\#2$\tt\}$} commands are used: {\tt\#1}
represents the same numbers used in \btt{footnotemark[\#1]}, and
{\tt\#2} represents the text of the footnote.  Use these two commands
to number footnotes by hand.  Inspect the \LaTeX\ input for this table
to see exactly how it is done.
\label{table2}}
\begin{ruledtabular}
\begin{tabular}{cccccccc}
 &$r_c$ (\AA)&$r_0$ (\AA)&$\kappa r_0$&
 &$r_c$ (\AA) &$r_0$ (\AA)&$\kappa r_0$\\
\colrule
Cu& 0.800 & 14.10 & 2.550 &Sn\footnotemark[1]
& 0.680 & 1.870 & 3.700 \\
Ag& 0.990 & 15.90 & 2.710 &Pb\footnotemark[2]
& 0.450 & 1.930 & 3.760 \\
Au& 1.150 & 15.90 & 2.710 &Ca\footnotemark[3]
& 0.750 & 2.170 & 3.560 \\
Mg& 0.490 & 17.60 & 3.200 &Sr\footnotemark[4]
& 0.900 & 2.370 & 3.720 \\
Zn& 0.300 & 15.20 & 2.970 &Li\footnotemark[2]
& 0.380 & 1.730 & 2.830 \\
Cd& 0.530 & 17.10 & 3.160 &Na\footnotemark[5]
& 0.760 & 2.110 & 3.120 \\
Hg& 0.550 & 17.80 & 3.220 &K\footnotemark[5]
&  1.120 & 2.620 & 3.480 \\
Al& 0.230 & 15.80 & 3.240 &Rb\footnotemark[3]
& 1.330 & 2.800 & 3.590 \\
Ga& 0.310 & 16.70 & 3.330 &Cs\footnotemark[4]
& 1.420 & 3.030 & 3.740 \\
In& 0.460 & 18.40 & 3.500 &Ba\footnotemark[5]
& 0.960 & 2.460 & 3.780 \\
Tl& 0.480 & 18.90 & 3.550 & & & & \\
\end{tabular}
\end{ruledtabular}
\footnotetext[1]{Here's the first, from Ref.~\onlinecite{smith82}.}
\footnotetext[2]{Here's the second.}
\footnotetext[3]{Here's the third.}
\footnotetext[4]{Here's the fourth.}
\footnotetext[5]{And etc.}
\end{table}
Table \ref{table3},%
\begin{table*}
\caption{A wide table.  Two alternative occupations of special
positions by KMnCL$_3$ ions in the two space groups $D_{4h}^1$ and
$D_{4h}^1$.  For a special value of the $x$ and $y$ parameters, a set
of special positions may split into two sets of special positions of
higher symmetry.}
\begin{ruledtabular}
\begin{tabular}{ccccc}
 &\multicolumn{2}{c}{$D_{4h}^1$}&\multicolumn{2}{c}{$D_{4h}^5$}\\
 Ion&1st alternative&2nd alternative&lst alternative
&2nd alternative\\ \colrule
 K&$(2e)+(2f)$&$(4i)$ &$(2c)+(2d)$&$(4f)$ \\
 Mn&$(2g)$\footnote{The $z$ parameter of these positions is $z\sim\frac{1}{4}$.}
 &$(a)+(b)+(c)+(d)$&$(4e)$&$(2a)+(2b)$\\
 Cl&$(a)+(b)+(c)+(d)$&$(2g)$\footnotemark[1]
 &$(4e)^{\rm a}$\\
 He&$(8r)^{\rm a}$&$(4j)^{\rm a}$&$(4g)^{\rm a}$\\
 Ag& &$(4k)^{\rm a}$& &$(4h)^{\rm a}$\\
\end{tabular}
\end{ruledtabular}
 \label{table3}
 \end{table*}
Table \ref{table4},%
\begin{table}
\caption{Another wide table. Numbers in columns Three--Five have been
aligned by using the ``d'' column specifier. Non-numeric entries
(those entries without a ``.'') in a ``d'' column are aligned on the
decimal point.  Use the ``D'' specifier of the dcolumn package for
more complex layouts.  }
\begin{tabular*}{\hsize}{@{\extracolsep{0ptplus1fil}}ccddd@{\extracolsep{0pt}}}
One&Two&\mbox{Three}&\mbox{Four}&\mbox{Five}\\
\colrule
one&two&\mbox{three}&\mbox{four}&\mbox{five}\\
He&2& 2.77234 & 45672. & 0.69 \\
C\footnote{Some tables require footnotes.}
  &C\footnote{Some tables need more than one footnote.}
  & 12537.64 & 37.66345 & 86.37 \\
\end{tabular*}
\label{table4}
\end{table}
Table \ref{latetable},%
\begin{table}
\caption{A ``late table.''  This table was added after most of the
paper had been completed. Since the tables are automatically numbered,
no renumbering in text was necessary.  This table shows the use of the
the ``d'' column for aligning numbers on the decimal point, and the
use of the ``@-expression'' to do finer control of alignment.  This
technique is useful for simple columns of numerical data, but for more
complex alignments it may be necessary to use the ``D'' specifier of
the dcolumn package or the general features of the array package.}
\label{latetable}
\begin{ruledtabular}
\begin{tabular}{dr@{}l@{${}\pm{}$}r@{}l}
%% NOTE, multicolumn NEEDED in next line
\multicolumn{1}{c}{Align by .}&
  \multicolumn{4}{c}{Multiple alignments}\\
\colrule
23.890\,12        &      23&.890\,12&  0&.002\\
12\,323.          &123\,223&        &344& \\
0.834\,390\,12    &      80&.80     & 45&.3416\\
\end{tabular}
\end{ruledtabular}
\end{table}
and Table \ref{table6}.%
\begin{table}
\caption{The Poisson ratio defined as the ratio of lateral contraction
to longitudinal expansion for uniaxial stress.  Experimental values
are given for comparison.}
\begin{ruledtabular}
\begin{tabular}{cddcdd}
  &\multicolumn{2}{c}{$\sigma$}& 
  &\multicolumn{2}{c}{$\sigma$}
\\
  &\multicolumn{1}{c}{Predicted}
  &\multicolumn{1}{c}{Observed$^{\rm a}$}
  &
  &\multicolumn{1}{c}{Predicted}
  &\multicolumn{1}{c}{Observed$^{\rm a}$}
\\
\colrule
Cu &  0.48 & 0.36 &Al& 0.47 & 0.33 \\
Ag &  0.48 & 0.37 &Tl& 0.47 & 0.35\\
Au &  0.48 & 0.36 &Sn& 0.46 & 0.33\\
Mg &  0.47 & 0.35 &Pb& 0.46 & \multicolumn{1}{c}{0.40--0.45}\\
Zn &  0.47 & 0.25 &Pb& 0.49 & 0.43 \\
   &       &      & K& 0.49 & 0.44 \\
\end{tabular}
\end{ruledtabular}
\label{table6}
\end{table}

{\textit Physical Review} style requires that the initial citation of
figures or tables be in numerical order in text, so don't cite
Fig.~\ref{reduced} until you've cited Fig.~\ref{latefigure}.  See {\textit
Style and Notation Guide}.

\begin{acknowledgments}
We wish to acknowledge the support of the author community in using
REV\TeX{}, offering suggestions and encouragement, testing new versions,
\dots.
\end{acknowledgments}

\appendix

\section{Appendixes}

To start the appendixes, you should use the \verb+\appendix+ command.
This signals that all following section commands refer to appendixes
instead of regular sections.  Therefore, the \verb+\appendix+ command
should be used only once---to setup the section commands to act as
appendixes. Thereafter normal section commands are used.  The heading
for a section can be left empty. For example,
\begin{verbatim}
\appendix
\section{}
\end{verbatim}
will produce an appendix heading that says ``APPENDIX A'' and
\begin{verbatim}
\appendix
\section{Background}
\end{verbatim}
will produce an appendix heading that says ``APPENDIX A: BACKGROUND''
(note that the colon is set automatically).

If there is only one appendix, then the letter ``A'' should not
appear. This is suppressed by using the star version of the appendix
command (\verb+\appendix*{#1}+).

\section{A little more on appendixes}

Observe that this appendix was started by using
\begin{verbatim}
\section{A little more on appendixes}
\end{verbatim}

Note the equation number in an appendix:
\begin{equation} E=mc^2. \end{equation}

\subsection{A subsection in an appendix}
\label{app:subsec}

You can use a subsection or subsubsection in an appendix. Note the
numbering: we are now in Appendix \ref{app:subsec}.

Note the equation numbers in this appendix, produced with the
subequations environment:
\begin{subequations}
\begin{eqnarray}
E&=&mc, \label{appa}
\\
E&=&mc^2, \label{appb}
\\
E&\agt& mc^3. \label{appc}
\end{eqnarray}
\end{subequations}
They turn out to be Eqs.~(\ref{appa}), (\ref{appb}), and (\ref{appc}).
\newpage %Just because of unusual number of tables stacked at end
\bibliography{apssamp}% Produces the bibliography via BibTeX.

\end{document}
%
% ****** End of file apssamp.tex ******