{"paper":{"title":"Luttinger Liquid in Non-equilibrium Steady State","arxiv_id":"1210.5409","primary_cat":"math-ph","submitted_at":"2012-10-19T13:11:14+00:00","version_compiled":"v1"},"notice":"Every quoted sentence is the authors' text from the arXiv listing abstract. Labels and probabilities are the outputs of classifier-1.13-20260917 on the question bank abstract-p1-20260923, exactly as returned. 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leads.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.58,"main_claim_p":0.04,"quantitative":false,"quantitative_p":0.04,"role_probabilities":{"gap":0.0,"method":0.91,"result":0.0,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.09,"interpretation":0.0}},{"i":2,"p":0.97,"id":"s2","own":true,"role":"method","text":"The system is driven away from equilibrium by connecting the leads to heat baths at different temperatures and chemical potentials.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.51,"main_claim_p":0.03,"quantitative":false,"quantitative_p":0.14,"role_probabilities":{"gap":0.0,"method":0.97,"result":0.0,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.03,"interpretation":0.0}},{"i":3,"p":0.56,"id":"s3","own":true,"role":"contribution","text":"The associated non-equilibrium steady state depends on S and is explicitly constructed.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.89,"main_claim_p":0.16,"quantitative":false,"quantitative_p":0.03,"role_probabilities":{"gap":0.0,"method":0.02,"result":0.42,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.56,"interpretation":0.0}},{"i":4,"p":0.85,"id":"s4","own":true,"role":"method","text":"In this context we develop a non-equilibrium bosonization procedure and compute some basic correlation functions.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.95,"main_claim_p":0.07,"quantitative":false,"quantitative_p":0.04,"role_probabilities":{"gap":0.0,"method":0.85,"result":0.0,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.15,"interpretation":0.0}},{"i":5,"p":0.87,"id":"s5","own":false,"role":"contribution","text":"Luttinger liquids with general anyon statistics are considered.","hedge":{"p":0.92,"label":"asserted"},"own_p":0.47,"main_claim_p":0.04,"quantitative":false,"quantitative_p":0.03,"role_probabilities":{"gap":0.0,"method":0.06,"result":0.0,"background":0.07,"limitation":0.0,"future_work":0.0,"contribution":0.87,"interpretation":0.0}},{"i":6,"p":1.0,"id":"s6","own":true,"role":"result","text":"The relative momentum distribution away from equilibrium turns out to be the convolution of equilibrium anyon distributions at different temperatures.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.93,"main_claim_p":0.25,"quantitative":false,"quantitative_p":0.12,"role_probabilities":{"gap":0.0,"method":0.0,"result":1.0,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.0}},{"i":7,"p":1.0,"id":"s7","own":true,"role":"contribution","text":"Both the charge and heat transport are 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