Liquid crystal display and driving method thereof

1. A liquid crystal display comprising:

a first substrate;

a gate line disposed on the first substrate;

a first data line and a second data line both of which are disposed on the first substrate, and insulated from and disposed substantially perpendicular to the gate line;

a first thin film transistor connected to the gate line and the first data line;

a second thin film transistor connected to the gate line and the second data line;

a first pixel electrode connected to the first thin film transistor;

a second pixel electrode connected to the second thin film transistor;

a second substrate disposed substantially opposite to the first substrate;

a common electrode disposed on the second substrate; and

a liquid crystal layer disposed between the first substrate and the second substrate, and including biaxial liquid crystal,

wherein the liquid crystal display has an initial alignment stage, a pre-tilt stage, and an alignment stage, and

wherein the biaxial liquid crystal is pre-tilted according to a horizontal electric field in the pre-tilt stage.

2. The liquid crystal display of claim 1 , wherein

the first pixel electrode and the second pixel electrode respectively include a first stem and a second stem, and a plurality of first branches and second branches respectively connected to the first stem and the second stem.

3. The liquid crystal display of claim 2 , wherein the first branches and the second branches are alternately disposed with respect to each other.

4. The liquid crystal display of claim 3 , wherein the first stem and second stem are disposed substantially parallel to the gate line, or the first data line and the second data line, and

the first branches and the second branches are disposed substantially perpendicular to the first stem and the second stem.

5. The liquid crystal display of claim 4 , wherein the first pixel electrode and the second pixel electrode respectively further include a first connection and a second connection for connection with the first thin film transistor and the second thin film transistor, respectively.

6. The liquid crystal display of claim 3 , wherein the branches are curved at a predetermined angle.

7. The liquid crystal display of claim 1 , wherein the first pixel electrode and the second pixel electrode are configured to include a period in which substantially the same voltage is applied thereto and a period in which a different voltage is applied thereto during one frame.

8. The liquid crystal display of claim 1 , wherein the biaxial liquid crystal has different refractive indexes and different dielectric ratios in x-, y-, and z-axis directions, and an axis direction having a maximum refractive index and an axial direction having a maximum dielectric ratio are different from each other.

9. The liquid crystal display of claim 1 , wherein the biaxial liquid crystal has different refractive indexes and different dielectric ratios in x-, y-, and z-axis directions, and an axis direction having a maximum refractive index and an axial direction having a maximum dielectric ratio are substantially the same.

10. The liquid crystal display of claim 1 , wherein the rubbing direction for the biaxial liquid crystal is oblique to the gate line and the first data line and the second data line.

11. The liquid crystal display of claim 10 , further comprising:

polarizers attached to the outside surface of the first substrate and the second substrate,

wherein the transmittance directions of the polarizers are oblique to the gate line and the first data line and second data line.