The Liga giants took a commanding lead back to Camp Nou thanks to second-half goals from Lionel Messi, who netted from the spot after being felled by Martin Demichelis, and a late strike from full-back Dani Alves.
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“The tie is not over and we’ll go into the game remembering what we’ve done this season and what we are capable of and I think that’s how we have to look at it,” the England international told the club's official website.
“A positive performance is key and a result would be fantastic, but we need to go out there and show we can really play against the likes of Barcelona.
“We’ve shown what we can do when we beat Bayern Munich away in December and while it’s going to be tough, it’s not impossible.
“I felt we were there in the first leg, had sized them up and were ready to go, but stuff happens in big games and if you give a predator like Barcelona a sniff of blood and unfortunately that’s what happens.
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Barcelona have struggled domestically in recent weeks, dropping back in the race for the Liga title following a shock defeat to Real Valladolid, but Hart nevertheless expects a tough test and will not be taking the Catalans' threat lightly.
“Does their form have a direct bearing? It does and it doesn’t but we understand what big games do to Barcelona,” the 26-year-old continued.
“They’ve been in the latter stages of the Champions League many times before while we are relatively new to it.
“I don’t think we can read too much into their league form away from home against the lesser sides in La Liga, especially as they are at the Nou Camp against a British side with a place in the quarter-finals at stake.”