Exhibit 24.1

                               POWER OF ATTORNEY

     The undersigned hereby constitutes and appoints Scott A. Reed and Brian D.
Jones, or any of them acting without the other, the undersigned's true and
lawful attorney-in-fact with full power and authority as hereinafter described
to:

   1.  prepare, execute in the undersigned's name and on the undersigned's
       behalf, and submit to the U.S. Securities and Exchange Commission (the
       "SEC") a Form ID, including amendments thereto, and any other documents
       necessary or appropriate to obtain codes and passwords enabling the
       undersigned to make electronic filings with the SEC of reports required
       by Section 16(a) of the Securities Exchange Act of 1934
       (the "Exchange Act") or any rule or regulation of the SEC;

   2.  execute for and on behalf of the undersigned (a) any Form 3, Form 4
       and Form 5 (including amendments thereto) in accordance with Section
       16(a) of the Exchange Act and the rules thereunder, (b) Form 144, (c)
       Schedule 13D or Schedule 13G (including amendments thereto) in accordance
       with Sections 13(d) and 13(g) of the Exchange Act, (d) Form 13F or Form
       13H (including amendments thereto) in accordance with Sections 13(f) and
       13(h) of the Exchange Act, and (e) any other forms or reports the
       undersigned may be required to file in connection with the undersigned's
       ownership, acquisition or disposition of securities, in each case, only
       to the extent each form or schedule relates to the undersigned's
       beneficial ownership, acquisition or disposition of securities of a
       company required to file reports under the Exchange Act with the SEC (a
       "Reporting Company"), including, without limitation, Atlantic Capital
       Bancshares, Inc. ("ACBI");

   3.  do and perform any and all acts for and on behalf of the undersigned
       that may be necessary or desirable to prepare, complete and execute any
       such Form 3, Form 4, Form 5, Form 144, Schedule 13D, Schedule 13G, Form
       13F or Form 13H (including any amendments thereto) and timely deliver to
       and file the forms or schedules with the SEC, any stock exchange or
       quotation system, self-regulatory association or any other authority and
       provide a copy as required by law or advisable to such persons as the
       attorney-in-fact deems appropriate;

   4.  seek or obtain as the undersigned's representative, and on the
       undersigned's behalf, information regarding transactions in any Reporting
       Company's securities (including, without limitation, the securities of
       ACBI) from any third party, including brokers, employee benefit plan
       administrators and trustees, and the undersigned hereby authorizes any
       such person to release any such information to such attorney-in-fact and
       approves and ratifies any such release of information; and

   5.  take any other action of any type whatsoever in connection with the
       foregoing that, in the opinion of such attorney-in-fact, may be of
       benefit to, in the best interest of, or legally required by, the
       undersigned, it being understood that the documents executed by such
       attorney-in-fact on behalf of the undersigned pursuant to this Power of
       Attorney shall be in such form and shall contain such terms and
       conditions as such attorney-in-fact may approve in such attorney-in-
       fact's discretion.

       The undersigned hereby grants to such attorney-in-fact full power and
authority to do and perform any and every act and thing whatsoever requisite,
necessary or proper to be done in the exercise of any of the rights and powers
herein granted, as fully to all intents and purposes as the undersigned might or
could do if personally present, with full power of substitution or revocation,
hereby ratifying and confirming all that such attorney-in-fact, or such
attorney-in- fact's substitute or substitutes, shall lawfully do or cause to be
done by virtue of this power of attorney and the rights and powers herein
granted. The undersigned acknowledges that the foregoing attorney-in-fact, in
serving in such capacity at the request of the undersigned, is not assuming nor
relieving any of the undersigned's responsibilities to comply with Section 16 of
the Exchange Act. The undersigned acknowledges that the foregoing attorney-in-
fact does not assume (i) any liability for the undersigned's responsibility to
comply with the requirement of the Exchange Act, (ii) any liability of the
undersigned for any failure to comply with such requirements or (iii) any
obligation or liability of the undersigned for profit disgorgement under Section
16(b) of the Exchange Act.

     This Power of Attorney shall remain in full force and effect indefinitely,
until revoked by the undersigned in a signed writing delivered to the foregoing
attorney-in-fact. This Power of Attorney does not revoke any previously granted
Power of Attorney regarding the subject matter.

     IN WITNESS WHEREOF, the undersigned has caused this Power of Attorney to be
executed as of this 30th day of November, 2016.

                                        BANKCAP EQUITY FUND, LLC

                                        By:    /s/ Brian D. Jones
                                               -----------------------
                                        Name:  Brian D. Jones
                                        Title: Managing Member

                                        By: /s/ Scott A. Reed
                                            --------------------------
                                        Name: Scott A. Reed
                                        Title: Managing Member