You have tried with your current employer. It is not clear since how long you are employed with them. The employer shall want the employee to work for a reasonably good period of time, or employees shall keep on coming, learning and leaving, and the company shall keep on struggling with the problem of attrition.
As per your appointment letter you can give notice of resignation/notice pay of one month and exit.
You may prepare a list of all the company property, and submit under proper acknowledgment with seal and signature, and list of pending tasks to be completed by you and complete them, before you leave. Work responsibly.
Document each and every thing and maintain record and do not give an opportunity to blame you. You may persuade your reporting authority to help you and obtain acknowledgments from him/her that you have completed the tasks, and nothing is pending. Offer your help to find your replacement and train the new employee.
World is small and you may find yourself in the company of your superiors again. You also need them for your reference check.
You are within your rights to ask for settlement of your a/c,F&F,form16,work experience certificate, NOC, NDC, relieving letter, PF accumulation reports etc. Prepare your a/c of payables and receivables and submit to the company for crosscheck.
Be smart. Use your negotiating and reasoning ability to convince the administration, and manage the situation to avoid litigation. If nothing works you can protest and if required you can approach labor conciliation officer.
Your new employer can absorb you on the strength of your resignation letter, its acceptance, last salary slip, and may ask you to sign an indemnity bond confirming that you are not employed elsewhere and there is no outstanding against you. Show them your documents convince them you have tried your level best. They also know the trends in the industry.