The Indo-Hungarian pair will now face the unseeded duo of Juan Sebastian Cabal from Colombia and Abigail Spears from the USA in the quarterfinals on Wednesday.
The 23-year old Brit checked all those boxes on Rod Laver Arena, setting himself up for a match against either top-ranked Rafael Nadal or No. 6 Marin Cilic for a spot in the final of the season's first Grand Slam.
Edmund will play either top-seeded Rafael Nadal or No. 6 Marin Cilic in the first men's semifinal on Thursday.
The 58th-ranked Chung relentlessly attacked Djokovic - who is playing his first tournament since Wimbledon because of an injured right elbow - in the 7-6 (4), 7-5, 7-6 (3) fourth-round win.
The 26-year-old American, who entered the season's opening major ranked 97th, missed a match point in the fourth set but held on for a 6-2, 4-6, 7-6 (4), 6-7 (7), 6-3 win over fifth-seed Thiem.
Halep, who could lose her No. 1 ranking if she doesn't win the title here, extended her record of not having lost a fourth-round match on hard courts at a Grand Slam since the 2013 U.S. Open.
Combining with Edouard Roger-Vasselin of France, Bopanna lost to Oliver Marach of Austria and Croatia's Mate Pavic 6-4, 7-6 (7-5), 3-6 at the Melbourne Park.
Tomas Berdych, who beat Fabio Fognini in straight sets earlier Monday, will be Federer's quarterfinal opponent.
The U.S. Open finalist is yet to drop a set at Melbourne Park and is averaging a brisk 62.5 minutes on court through her first four rounds.
The Johannesburg-born Edmund is the first British man other than Murray to reach the quarterfinals in Melbourne since John Lloyd was beaten in the quarters in 1985.
The Indo-Hungarian pair brushed aside the duo of Ellen Perez and Andrew Whittington 6-2, 6-4 on the Margaret Court Arena.
Nadal will next play sixth-seeded Marin Cilic, who collected his 100th Grand Slam match win with a 6-7 (2), 6-3, 7-6 (0), 7-6 (3) victory over No. 10 Pablo Carreno Busta.
Wozniacki could return to the top ranking if she reaches the semifinals at least and a combination of other results go her way.
The Columbian pair didn't break a sweat in the third round of the men's doubles as they rode off an easy win against Paes-Raja, defeating them 6-1,6-2.
Federer earned his 17th victory over Gasquet in the 19th encounter between the two players.
Seeking a record seventh title in Melbourne, Djokovic is set to take on Chung Hyeon of South Korea, who stunned Germany's Alexander Zverev 5-7, 7-6 (7-3), 2-6, 6-3, 6-0.
The fiery Australian reportedly pulled out of the doubles event believing he has a serious chance of winning his maiden Grand Slam title in the singles at Melbourne Park.
Five-time major winner Sharapova was back at the Australian Open for the first time since 2016, when a failed test for Meldonium led to a 15-month doping ban.
The Indian duo will now take on Colombian duo of Juan Sebastian Cabal and Robert Farah for a place in the quarter-finals.
The third set between Davis and Halep took 2 hours and 22 minutes and momentum swung, with 11 service breaks and two medical timeouts.
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