Graphics chips that support TwinView (Appendix G, Configuring TwinView) can also be configured to treat each connected display device as a separate X screen.
While there are several disadvantages to this approach as compared to TwinView (e.g.: windows cannot be dragged between X screens, hardware accelerated OpenGL cannot span the two X screens), it does offer several advantages over TwinView:
If each display device is a separate X screen, then properties that may vary between X screens may vary between displays (e.g.: depth, root window size, etc).
Hardware that can only be used on one display at a time (e.g.: video overlays, hardware accelerated RGB overlays), and which consequently cannot be used at all when in TwinView, can be exposed on the first X screen when each display is a separate X screen.
TwinView is a fairly new feature. X has historically used one screen per display device.
To configure two separate X screens to share one graphics chip, here is what you will need to do:
First, create two separate Device sections, each listing the BusID of the graphics card to be shared and listing the driver as "nvidia", and assign each a separate screen:
    Section "Device"
        Identifier  "nvidia0"
        Driver      "nvidia"
        # Edit the BusID with the location of your graphics card
        BusID       "PCI:2:0:0"
        Screen      0
    EndSection
    Section "Device"
        Identifier  "nvidia1"
        Driver      "nvidia"
        # Edit the BusID with the location of your graphics card
        BusId       "PCI:2:0:0"
        Screen      1
    EndSection
Then, create two Screen sections, each using one of the Device sections:
    Section "Screen"
        Identifier  "Screen0"
        Device      "nvidia0"
        Monitor     "Monitor0"
        DefaultDepth 24
        Subsection "Display"
            Depth       24
            Modes       "1600x1200" "1024x768" "800x600" "640x480" 
        EndSubsection
    EndSection
    Section "Screen"
        Identifier  "Screen1"
        Device      "nvidia1"
        Monitor     "Monitor1"
        DefaultDepth 24
        Subsection "Display"
            Depth       24
            Modes       "1600x1200" "1024x768" "800x600" "640x480" 
        EndSubsection
    EndSection
(Note: You'll also need to create a second Monitor section) Finally, update the ServerLayout section to use and position both Screen sections:
    Section "ServerLayout"
        ...
        Screen         0 "Screen0" 
        Screen         1 "Screen1" leftOf "Screen0"
        ...
    EndSection
For further details, please refer to the XF86Config(5x) or xorg.conf(5x) manpages.