Layout of magnetoresistance element

1. A bridge comprising:

a first magnetoresistance element comprising a first set of pillars;

a second magnetoresistance element comprising a second set of pillars, the second magnetoresistance element being in series with the first magnetoresistance element;

a third magnetoresistance element comprising a third set of pillars, the third magnetoresistance element being in parallel with the first magnetoresistance element; and

a fourth magnetoresistance element comprising a fourth set of pillars, the fourth magnetoresistance element being in series with the third magnetoresistance element,

wherein the first set of pillars and the fourth set of pillars are disposed in a first matrix and the second set of pillars and the third set of pillars are disposed in a second matrix.

2. The bridge of claim 1 , wherein the first matrix comprises one or more columns comprising pillars from the first set of pillars adjacent to one or more columns comprising pillars from the fourth set of pillars.

3. The bridge of claim 2 , wherein the second matrix comprises one or more columns comprising pillars from the second set of pillars adjacent to one or more columns comprising pillars from the third set of pillars.

4. The bridge of claim 1 , wherein the first matrix comprises columns alternating between a column comprising pillars from the first set of pillars and a column comprising pillars from the fourth set of pillars.

5. The bridge of claim 4 , wherein the second matrix comprises columns alternating between a column comprising pillars from the second set of pillars and a column comprising pillars from the third set of pillars.

6. The bridge of claim 1 , wherein the first matrix has the first set of pillars and the fourth set of pillars diagonally interleaved.

7. The bridge of claim 6 , wherein the second matrix has the second set of pillars and the third set of pillars diagonally interleaved.

8. The bridge of claim 1 , wherein the first matrix has submatrices comprising pillars from the first set of pillars interleaved with submatrices comprising pillars from the fourth set of pillars.

9. The bridge of claim 8 , wherein the second matrix has submatrices of pillars from the second set of pillars interleaved with submatrices of pillars from the third set of pillars.

10. The bridge of claim 1 , wherein the first, second, third type and fourth magnetoresistance elements are tunnel magnetoresistance (TMR) elements.

11. The bridge of claim 10 , wherein the first magnetoresistance element has the reference direction as the fourth magnetoresistance element.

12. The bridge of claim 1 , wherein the first set of pillars are connected in series.

13. The bridge of claim 1 , wherein the first set of pillars are connected in parallel.

14. The bridge of claim 1 , wherein the first set of pillars comprises pillars connected in series and pillars connected in parallel.

15. The bridge of claim 1 , wherein the first matrix and the second matrix are separated by at least 10 microns,

wherein each pillar within the first or second matrix is separated from a nearest pillar by about one to two microns.

16. A magnetic-field sensor comprising:

a bridge comprising:

a first magnetoresistance element comprising a first set of pillars;

a second magnetoresistance element comprising a second set of pillars, the second magnetoresistance element being in series with the first magnetoresistance element;

a third magnetoresistance element comprising a third set of pillars, the third magnetoresistance element being in parallel with the first magnetoresistance element; and

a fourth magnetoresistance element comprising a fourth set of pillars, the fourth magnetoresistance element being in series with the third magnetoresistance element,

wherein the first set of pillars and the fourth set of pillars are disposed in a first matrix and the second set of pillars and the third set of pillars are disposed in a second matrix.

17. The magnetic-field sensor of claim 16 , wherein the first matrix comprises one or more columns comprising pillars from the first set of pillars adjacent to one or more columns comprising pillars from the fourth set of pillars,

wherein the second matrix comprises one or more columns comprising pillars from the second set of pillars adjacent to one or more columns comprising pillars from the third set of pillars.

18. The magnetic-field sensor of claim 16 , wherein the first matrix comprises columns alternating between a column comprising pillars from the first set of pillars and a column comprising pillars from the fourth set of pillars,

wherein the second matrix comprises columns alternating between a column comprising pillars from the second set of pillars and a column comprising pillars from the third set of pillars.

19. The magnetic-field sensor of claim 16 , wherein the first matrix has the first set of pillars and the fourth set of pillars diagonally interleaved,

wherein the second matrix has the second set of pillars and the third set of pillars diagonally interleaved.

20. The magnetic-field sensor of claim 16 , wherein the first matrix has submatrices comprising pillars from the first set of pillars interleaved with submatrices comprising pillars from the fourth set of pillars,

wherein the second matrix has submatrices of pillars from the second set of pillars interleaved with submatrices of pillars from the third set of pillars.

21. The magnetic-field sensor of claim 16 , wherein the magnetic-field sensor is an angle sensor.