Martin, 28, signed a one-year, $4 million deal as a free agent before last season, having been non-tendered by the Dodgers. He batted .237 with 18 homers and 65 RBIs in 125 games with the Bombers, earning selection as an American League All-Star.
General manager Brian Cashman has compared Martin favorably with Yankees legend Thurman Munson for his tough demeanor behind the plate, and has spoken about the possibility of pursuing a multiyear deal at some point. For now, Martin will enter the spring as New York's starting catcher.
"I have no problem saying Russell Martin is our [starting] catcher," Cashman said last week. "There's no debate about how good Russell Martin is. He should be the guy."
Logan, 27, served as New York's lone left-handed reliever for much of the season. Earning $1.2 million, he went 5-3 with a 3.46 ERA in 64 relief appearances. His success -- particularly later in the season -- prompted the Yanks to say that a second left-hander in the bullpen would be a luxury.
Hughes, 25, and Chamberlain, 26, are each arbitration-eligible for the second time. Making $2.7 million, Hughes went 5-5 with a 5.79 ERA in 17 games (14 starts) this year, a trying season that has the hurler heading into Spring Training motivated to win a job.
Chamberlain is recovering from Tommy John surgery performed in June after he went 2-0 with a 2.83 ERA in 27 appearances, and he is expected to be back in the bullpen before the All-Star break. Chamberlain, who drew a $1.4 million salary last year, recently tweeted that he is playing long toss on flat ground and that it "feels awesome."
Robertson, 26, had a terrific season in New York's bullpen, going 4-0 with a 1.08 ERA in a team-high 70 relief appearances. Earning $460,500 last season, the first-time All Star led all AL relievers in ERA and ranked second in the Majors, behind only the Braves' Eric O'Flaherty (0.98).
Gardner, 28, batted .259 with seven homers, 36 RBIs and 49 stolen bases in 159 games this year. He is in line for a raise over the $549,500 he earned this season. Manager Joe Girardi said last week that he envisions Gardner as the starting left fielder, possibly batting ninth in the order.
In other roster updates, outfielder Colin Curtis was outrighted to the Triple-A Scranton/Wilkes-Barre roster. Outfielder Greg Golson cleared waivers after being designated for assignment on Thursday and is now a free agent.