Is America a democracy or a republic? Yes, it is
...But a democratic republic is us. Exactly.
Throughout our history we have functioned as both. Put another way, we have utilized characteristics of both. The people decide, but they do so through elected representatives working in pre-established, rule-bound and intentionally balky institutions such as Congress and the courts.
The government seated in Washington, D.C., represents a democratic republic, which governs a federated union of states, each of which in turn has its own democratic-republican government for its jurisdiction....
..."To take this as a rejection of democracy misses how the idea of government by the people, including both a democracy and a republic, was understood when the Constitution was drafted and ratified," Thomas said. "It misses, too, how we understand the idea of democracy today."
One way to understand that idea was articulated by Jefferson himself way back in 1816, when he wrote: "We may say with truth and meaning, that governments are more or less republican as they have more or less of the element of popular election and control in their composition." [emphasis added]
It is hard to imagine a better statement of the two concepts as they may be comingled and act in concert.
It falls to our generation to renew that understanding in the context of our own time, two full centuries later.