What kind of hearing was it? Your attorney was right that it's ineffective (as well as improper and not in accordance with the rules) to write a letter to the judge complaining of "bias". You should also ask your lawyer to explain the concept of "bias" to you or use google to look at the disciplinary rules for judges.
"Bias" doesn't mean the judge decided against you or thought the other parties' or attorney's case was more compelling. Judges are humans, all humans are "biased" by their perceptions and experiences as "bias" is commonly used in casual conversation. But in the court sense, "bias" means the Judge is related to one of the parties, or represented them in private practice before he became a judge, it's a very narrow ethical complaint.
If it was a family court case, like child custody or support, you don't have to appeal. Even if you have the money, appeals are usually not effective either, unless the judge made a glaring mistake of judgment or violated the law arbitrarily or without following proper procedure. This probably did not happen, and judges, like sports referees, are given a lot of latitude over review of their "calls", to preserve their authority.
In a child custody or support case, you can simply file for a modification at a later date, in six months or a year or so. Keep a detailed diary of your issues and complaints in a spiral notebook with dates and times. Keep in touch with your attorney and the attorney for the children. For family law problems, you can often get help from Legal Aid Societies in your area or the County if you meet poverty guidelines. Best of luck to you.
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Generally speaking, a judge cannot and will not consider a "letter" because it constitutes a one-way ex parte communication. A party must make a motion to the court so that the opposing party has the opportunity to oppose it. Writing a letter of concern or complaint will most likely be ignored.
Frank W. Chen has been licensed to practice law in California since 1988. The information presented here is general in nature and is not intended, nor should be construed, as legal advice for a particular case. This Avvo.com posting does not create any attorney-client relationship with the author. For specific advice about your particular situation, please consult with your own attorney.
Unsuccessful parties frequently accuse judges of bias. You would have to show absolutely concrete evidence of bias if you want to make it an issue. A lack of success does not count.