Emergence of non-Abelian SU(2) invariance in Abelian frustrated fermionic ladders

被引:4
作者
Beradze, Bachana [1 ,2 ]
Tsitsishvili, Mikheil [3 ,4 ]
Tirrito, Emanuele [3 ,5 ,6 ]
Dalmonte, Marcello [3 ,4 ]
Chanda, Titas [3 ,7 ]
Nersesyan, Alexander [1 ,2 ,3 ]
机构
[1] Andronikashvili Inst Phys, GE-0177 Tbilisi, Georgia
[2] Ilia State Univ, GE-0162 Tbilisi, Georgia
[3] Abdus Salam Int Ctr Theoret Phys ICTP, I-34151 Trieste, Italy
[4] Int Sch Adv Studies SISSA, I-34136 Trieste, Italy
[5] Univ Trento, Pitaevskii BEC Ctr, CNR INO, I-38123 Trento, Italy
[6] Univ Trento, Dipartimento Fis, I-38123 Trento, Italy
[7] Indian Inst Technol Indore, Dept Phys, Indore 453552, India
基金
美国国家科学基金会;
关键词
CRITICAL EXPONENTS; ULTRACOLD ATOMS; QUANTUM; MODEL; FIELDS; CHAINS; LINE;
D O I
10.1103/PhysRevB.108.075146
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We consider a system of interacting spinless fermions on a two-leg triangular ladder with pi /2 magnetic flux per triangular plaquette. Microscopically, the system exhibits a U(1) symmetry corresponding to the conservation of total fermionic charge and a discrete Z2 symmetry-a product of parity transformation and chain permutation. Using bosonization, we show that, in the low-energy limit, the system is described by the quantum double-frequency sine-Gordon model. On the basis of this correspondence, a rich phase diagram of the system is obtained. It includes trivial and topological band insulators for weak interactions, separated by a Gaussian critical line, whereas at larger interactions a strongly correlated phase with spontaneously broken Z2 symmetry sets in, exhibiting a net charge imbalance and nonzero total current. At the intersection of the three phases, the system features a critical point with an emergent SU(2) symmetry. This non-Abelian symmetry, absent in the microscopic description, is realized at low energies as a combined effect of the magnetic flux, frustration, and many-body correlations. The criticality belongs to the SU(2)1 Wess-Zumino-Novikov-Witten universality class. The critical point bifurcates into two Ising critical lines that separate the band insulators from the strong-coupling symmetry broken phase. We establish an analytical connection between the low-energy description of our model around the critical bifurcation point on one hand and the Ashkin-Teller model and a weakly dimerized XXZ spin-1/2 chain on the other. We complement our field-theory understanding via tensor network simulations, providing compelling quantitative evidences of all bosonization predictions. Our findings are of interest to up-to-date cold atom experiments utilizing Rydberg dressing that have already demonstrated correlated ladder dynamics.
引用
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页数:17
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