GOP presidential hopeful Michele Bachmann's debate performance apparently is having an impact with New Hampshire voters.

Though former Massachusetts governor Mitt Romney has a strong double-digit lead for the Republican nomination in a new New Hampshire poll, Bachmann moved up to a tie for second with Texas Rep. Ron Paul.

The survey by Magellan Strategies, taken Tuesday and Wednesday, is the first conducted since the major debate in the Granite State, home to the nation's first presidential primary. Bachmann, a Minnesota congresswoman and Tea Party favorite, announced her presidential bid during the debate.

The survey, taken for the online NH Journal, shows 28% of those who watched Monday's debate say Bachmann, a Minnesota congresswoman, gave the strongest performance. Romney was the top choice, with 39% saying he did the best in the faceoff.

Overall, Romney leads the GOP field with 42% of the vote, followed by Paul and Bachmann at 10% each. Sarah Palin got 7% and Rudy Giuliani earned 6%; both are trying to decide whether to enter the 2012 race.

Tim Pawlenty received 5% in the poll, followed by Newt Gingrich with 4%, Herman Cain and Jon Huntsman with 3% each, and Rick Santorum at 2%.

The poll of 727 Republican voters and independents who lean to the GOP has a margin of error of +/- 3.63 percentage points.