Phase transitions,as one of the most intriguing phenomena in nature,are divided into first-order phase transitions(FOPTs)and continuous ones in current classification.While the latter shows striking phenomena of scali...Phase transitions,as one of the most intriguing phenomena in nature,are divided into first-order phase transitions(FOPTs)and continuous ones in current classification.While the latter shows striking phenomena of scaling and universality,the former has recently also been demonstrated to exhibit scaling and universal behavior within a mesoscopic,coarse-grained Landau-Ginzburg theory.Here we apply this theory to a microscopic model-the paradigmatic Ising model,which undergoes FOPTs between two ordered phases below its critical temperature-and unambiguously demonstrate universal scaling behavior in such FOPTs.These results open the door for extending the theory to other microscopic FOPT systems and experimentally testing them to systematically uncover their scaling and universal behavior.展开更多
In this work,the phase structure of a holographic s+d model with quartic potential terms from 4D Einstein–Gauss–Bonnet gravity is studied in the probe limit.We first show the qd-μphase diagram with a very small val...In this work,the phase structure of a holographic s+d model with quartic potential terms from 4D Einstein–Gauss–Bonnet gravity is studied in the probe limit.We first show the qd-μphase diagram with a very small value of the Gauss–Bonnet coefficientα=1×10-7and in the absence of the quartic terms to locate the suitable choice of the value of qd,where the system admits coexistent s+d solutions.Then we consider the various values of the Gauss–Bonnet coefficientαand present theα-μphase diagram to show the influence of the Gauss–Bonnet term on the phase structure.We also give an example of the re-entrant phase transition which is also realized in the holographic s+s and s+p models.After that we confirm the universality of the influence of the quartic term with coefficientλdon the d-wave solutions,which is similar to the case of s-wave and p-wave solutions previously studied in the s+p model.Finally we give the dependence of the special values of the quartic term coefficientλdon the Gauss–Bonnet coefficientα,below which the d-wave condensate grows to an opposite direction at the(quasi-)critical point,which is useful in realizing first order phase transitions in further studies of the holographic d-wave superfluids.展开更多
基金supported by the National Natural Science Foundation of China(Grant No.12175316).
文摘Phase transitions,as one of the most intriguing phenomena in nature,are divided into first-order phase transitions(FOPTs)and continuous ones in current classification.While the latter shows striking phenomena of scaling and universality,the former has recently also been demonstrated to exhibit scaling and universal behavior within a mesoscopic,coarse-grained Landau-Ginzburg theory.Here we apply this theory to a microscopic model-the paradigmatic Ising model,which undergoes FOPTs between two ordered phases below its critical temperature-and unambiguously demonstrate universal scaling behavior in such FOPTs.These results open the door for extending the theory to other microscopic FOPT systems and experimentally testing them to systematically uncover their scaling and universal behavior.
基金supported by the National Natural Science Foundation of China(Grant No.11965013)supported by Yunnan High-level Talent Training Support Plan Young&Elite Talents Project(Grant No.YNWR-QNBJ-2018-181)。
文摘In this work,the phase structure of a holographic s+d model with quartic potential terms from 4D Einstein–Gauss–Bonnet gravity is studied in the probe limit.We first show the qd-μphase diagram with a very small value of the Gauss–Bonnet coefficientα=1×10-7and in the absence of the quartic terms to locate the suitable choice of the value of qd,where the system admits coexistent s+d solutions.Then we consider the various values of the Gauss–Bonnet coefficientαand present theα-μphase diagram to show the influence of the Gauss–Bonnet term on the phase structure.We also give an example of the re-entrant phase transition which is also realized in the holographic s+s and s+p models.After that we confirm the universality of the influence of the quartic term with coefficientλdon the d-wave solutions,which is similar to the case of s-wave and p-wave solutions previously studied in the s+p model.Finally we give the dependence of the special values of the quartic term coefficientλdon the Gauss–Bonnet coefficientα,below which the d-wave condensate grows to an opposite direction at the(quasi-)critical point,which is useful in realizing first order phase transitions in further studies of the holographic d-wave superfluids.
