Republican presidential candidate Donald Trump's popularity among the public may have been rising over the last few weeks, but he is having his share of controversies as well, the latest being the use of US rock band R.E.M's hit song, "It's the End of the World as We Know It (And I Feel Fine)", at one of his campaigns.

The 69-year-old Republican frontrunner invited the wrath of R.E.M by playing their popular song during his campaign in Washington DC.

The rock band's frontman Michael Stipe took to Twitter (via bassist Mike Mills) to bash Donald Trump for the use of the song.

"Upcoming is Michael's statement about Trump using our song at the rally. His opinions are HIS, please do not tweet angry responses at me," tweeted Mills.

"Go f*** yourselves, the lot of you--you sad, attention grabbing, power-hungry little men. Do not use our music or my voice for your moronic charade of a campaign," reads the tweet.

The band also expressed their disapproval on the use of their song "It's the End of the World as We Know It (And I Feel Fine)" by Donald Trump, on their Facebook page (via CNN). 

"While we do not authorize or condone the use of our music at this political event, and do ask that these candidates cease and desist from doing so, let us remember that there are things of greater importance at stake here," wrote the band.

"The media and the American voter should focus on the bigger picture, and not allow grandstanding politicians to distract us from the pressing issues of the day and of the current Presidential campaign."

The song by R.E.M was picked to criticise the Iran nuclear deal by President Barack Obama, but it backfired instead.

This is not the first time Donald Trump has been slammed for use of songs at his campaigns. Neil Young's management company came down heavily on him, accusing him of unauthorised use of the company's client's song, "Rockin' In The Free World", during the announcement of his presidential candidacy in June.

Donald Trump also landed in trouble for his remark on fellow GOP presidential contender Carly Fiorina.

"Look at that face!" he told a Rolling Stones reporter, on seeing Fiorina on TV. "Would anyone vote for that? Can you imagine that, the face of our next president?!"

"I mean, she's a woman, and I'm not s'posedta say bad things, but really, folks, come on. Are we serious?"

However, he later told CNN that he was talking about Fiorina's persona and not her looks, as misunderstood by many. He said that he was referring to her failure at Hewlett Packard and defeat in her run for the Senate.