Low power circuit design for turning an LDO on/off at specific voltage levels

Question

I am designing a low power circuit that uses the TPS61023DRLR for energy harvesting, charging a 1.5F 5.5V capacitor. I am then using an SSP61 voltage monitor to detect if the voltage is above a specific threshold to turn on an LDO powering the rest of the circuit.

In theory this was a good idea, but did not work out that great. What I really want is to have some sort of hysteresis and turn the LDO on at a higher voltage level as well as turning it back off at a lower level.

Since I am quite new to designing low power circuits what is the best option to turn the LDO on/off at specific voltage levels whilst being low power?

Here is the circuit so far:

Follow Up: I modeled the circuit in LTSpice to figure out the exact setpoints I want. I then did a Voltage sweep between 0 and 5.5V and realized that the circuit turns on for Voltages between 1 and 2V. Here are the circuit and simulation:

Here is the simulation with the values provided in the answer:

Answer 1

Since I am quite new to designing low power circuits what is the best option to turn the LDO on/off at specific voltage levels whilst being low power?

Well, this is an opinion and there may be other ways that are equally good or better but, I'd use a low power comparator and low power reference voltage something like this: -

The circuit is taken from my answer here. It uses a low-power op-amp that can work up to 5.5 volts (6 volts is absolute maximum) and, was designed for detecting that a LiPo battery's terminal voltage had dropped below a certain limit.

What I really want is to have some sort of hysteresis and turn the LDO on at a higher voltage level as well as turning it back off at a lower level.

The circuit above has hysteresis that can be adjusted by lowering or increasing R5 (10 MΩ). As show above with a rising and falling supply voltage you get this response: -

If you click on the picture you will see that the output goes positive when the supply is 3.790 volts and, switches to 0 volts when the supply drops below 3.642 volts; approximately 150 mV of hysteresis.

For the actual trigger voltage, you can make this higher by increasing R1 (currently at 6.8 MΩ).