Voltage-controlled resistor based on phase transition materials

1. A system comprising:

a first resistive element including a phase change material that changes resistance in response to a change in temperature of the phase change material;

a second resistive element including the phase change material arranged in thermal contact with and electrically isolated from the first resistive element; and

a heating element arranged proximate to and in thermal contact with the first and second resistive elements;

a control circuit electrically coupled to the heating element, the control circuit is configured to receive an input voltage and operates to supply power to the heating element, wherein power supplied to the heating element changes the resistance of the second resistive element linearly and continuously within a range of resistance values as a function of magnitude of the input voltage; and

a feedback circuit that senses resistance of the first resistive element and adjusts power supplied by the control circuit to the heating element to maintain a linear relationship between the input voltage and resistance of the second resistive element.

2. The system of claim 1 wherein the phase change material is vanadium dioxide having a first state at temperatures less than approximately 68 degrees Celsius and a second state at temperatures greater than or equal to approximately 68 degrees Celsius.

3. The system of claim 1 wherein the resistance of the second resistive element is independent of (i) voltage applied across the second resistive element and (ii) current flowing through the second resistive element within an operating range.

4. A method for operating a voltage-controlled resistor, comprising:

providing a heating element proximate to and in thermal contact with a first resistive element and a second resistive element, wherein the first and second resistive elements are comprised of a phase change material and electrically isolated from each other;

receiving, by a control circuit, an input voltage selected by a user or a circuit;

supplying, by the control circuit, power to a heating element, wherein power supplied to the heating element changes the resistance of the second resistive element linearly and continuously within a range of resistance values as a function of magnitude of the input;

sensing a feedback signal from the first resistive element, wherein the feedback signal indicates a resistance of the first resistive element; and

adjusting the power supplied to the heating element based on the feedback signal from the first resistive element to maintain a linear relationship between the input voltage and the resistance of the second resistive element.

5. The method of claim 4 wherein the phase change material is vanadium dioxide having a first state at temperatures less than approximately 68 degrees Celsius and a second state at temperatures greater than or equal to approximately 68 degrees Celsius.

6. The method of claim 4 wherein the resistance of the second resistive element is independent of (i) voltage applied across the second resistive element and (ii) current flowing through the second resistive element.

7. The method of claim 4 wherein the second resistive element is electrically isolated from the first resistive element.

8. An integrated circuit comprising:

a substrate;

a layer of an insulating material arranged on the substrate;

a first resistive element comprising a phase change material arranged along a first plane in the layer of the insulating material;

a second resistive element comprising the phase change material arranged along the first plane in the layer of the insulating material; and

a heating element arranged along a second plane in the layer of the insulating material, wherein the second plane is parallel to the first plane, and wherein the heating element is in thermal contact with the first and second resistive elements; and

a circuit that

receives a selected input voltage,

supplies power to the heating element that changes the resistance of the second resistive element linearly and continuously within a range of resistance values as a function of magnitude of the selected input voltage, and

adjusts the power supplied to the heating element in response to sensing a feedback signal from the first resistive element to maintain a linear relationship between the input voltage and the resistance of the second resistive element.

9. The integrated circuit of claim 8 wherein the phase change material is vanadium dioxide having a first state at temperatures less than approximately 68 degrees Celsius and a second state at temperatures greater than or equal to approximately 68 degrees Celsius.

10. The integrated circuit of claim 8 wherein the resistance of the second resistive element is independent of (i) voltage applied across the second resistive element and (ii) current flowing through the second resistive element within an operating range.

11. The integrated circuit of claim 8 wherein the second resistive element is electrically isolated from the first resistive element, the heating element, and the circuit.

12. The integrated circuit of claim 8 wherein the substrate is a silicon substrate, the insulating material is silicon dioxide, and the heating element is a platinum heating element.