@Denilson, I would like to provide you with some more information.
As you said, this.tabIndex = 0
works when your webcomponent contains no focusable elements. If it does, it gets more complicated.
For example, if your component contains one or more inputs, then first the "whole" component gets focus, and only later, when tabbing, each inner inputs get focus, one by one. This is usually not what you want. Usually, when the component gets focus this should mean its first input gets focus immediately.
Also, there is a reverse tabbing problem. If your first input has focus and you press SHIFT-TAB, then the "whole" component gets focus, and you are forced to press SHIFT-TAB twice to move to the previous element.
I found this to solve all focus and tabbing problems:
// At first, the component may get focus and accept tabbing.
createdCallback = function () { this.tabIndex = 0; }
// When the component gets focus, pass focus to the first inner element.
// Then make tabindex -1 so that the component may still get focus, but does NOT accept tabbing.
focus = function (e) { firstFocusableInnerElement.focus(); this.tabIndex = -1; }
// When we completely left the component, then component may accept tabbing again.
blur = function (e) { this.tabIndex = 0; }
Note: As of now (Sep 2015) if an inner element gets focus, then the "whole" element is not matched by the :focus
pseudo-selector (tested only in Chrome). If find this behavior to be just plain wrong. The focus event was fired, and the blur event was not. So the element should have focus, right? I hope they change this in the future.