Kaleidoscope of Exotic Quantum Phases in a Frustrated<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>X</mml:mi><mml:mi>Y</mml:mi></mml:math>Model

Varney, Christopher; Sun, Kai; Galitski, Victor; Rigol, Marcos

doi:10.1103/physrevlett.107.077201

Cited by 72 publications

(51 citation statements)

References 36 publications

(47 reference statements)

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…In quantum magnets, many theoretical microscopic models have been proposed for realizing the Bose metal, including different kinds of spin ladders (Motrunich and Fisher, 2007;Sheng et al, 2008;Sheng, Motrunich, and Fisher, 2009;Mishmash et al, 2011), 2D kagome lattices (Balents, Fisher, and Girvin, 2002;Dang, Inglis, and Melko, 2011), square lattices (Schaffer, Burkov, and Melko, 2009;Tay and Motrunich, 2011), and a 2D honeycomb lattice- (Block et al, 2011;Varney et al, 2011). Here the Bose metal is of course not metallic in the sense of conducting electricity, but in the sense of conducting heat at T ¼ 0.…”

Section: B Exotic States Induced By Frustrationmentioning

confidence: 99%

Bose-Einstein condensation in quantum magnets

2014

View full text Add to dashboard Cite

This article reviews experimental and theoretical work on Bose-Einstein condensation in quantum magnets. These magnets are natural realizations of gases of interacting bosons whose relevant parameters such as dimensionality, lattice geometry, amount of disorder, nature of the interactions, and particle concentration can vary widely between different compounds. The particle concentration can be easily tuned by applying an external magnetic field which plays the role of a chemical potential. This rich spectrum of realizations offers a unique possibility for studying the different physical behaviors that emerge in interacting Bose gases from the interplay between their relevant parameters. The plethora of other bosonic phases that can emerge in quantum magnets, of which the Bose-Einstein condensate is the most basic ground state, is reviewed. The compounds discussed in this review have been intensively studied in the last two decades and have led to important contributions in the area of quantum magnetism. In spite of their apparent simplicity, these systems often exhibit surprising behaviors. The possibility of using controlled theoretical approaches has triggered the discovery of unusual effects induced by frustration, dimensionality, or disorder.

show abstract

Section: B Exotic States Induced By Frustrationmentioning

confidence: 99%

Bose-Einstein condensation in quantum magnets

2014

View full text Add to dashboard Cite

show abstract

“…Next, the diagram (e) = (d) 2 . The diagram (c) is (c) = dp y 2π d d p (2π ) d dq y 2π d d q (2π ) d G(p,p y )G(q,q y ) ×G(p + q + s,p y + q y + s y ),…”

Section: Appendix: Renormalization Group Analysisunclassified

“…Spin liquids have been suggested to underpin the high-temperature superconductivity [1] and they have been extensively searched for [2]. On the other hand, the well-known helical magnets demonstrate explicit parity violation in the ground state [3][4][5][6].…”

Section: Introductionmentioning

confidence: 99%

Chiral spin liquid in a two-dimensional two-component helical magnet

Димитрова

2014

Phys. Rev. B

View full text Add to dashboard Cite

A low-temperature method is developed, suited for the two-dimensional two-component classical helical magnet. Four phases on the phase diagram as functions of temperature and helicity parameter of the Hamiltonian are found. Among the three ordered phases two show magnetic order: the usual algebraic correlations of the magnetization and the algebraic correlations of the magnetization in the frame rotating according with the helical order. A chiral spin liquid phase emerges directly from the paramagnetic phase and has a scalar parity-breaking pitch of the magnetization as the order parameter. The chiral phase transition is found to be of a continuous second order type with a modified by the long-range interaction Ising universality class. All the critical exponents are calculated in the second and the third order of an $\epsilon$-expansion. A new scaling relationship replacing the Josephson's one is found.Comment: v2: Fig.2 and Eqs. (45) and (46) as first submitted to PR

show abstract

“…1(c) can be observed in the fidelity metric 31 g(V ,δV ), which has been shown to be a sensitive indicator of quantum phase transitions. 13,[33][34][35][36] We illustrate this quantity in Fig. 1(d).…”

mentioning

confidence: 99%

Topological phase transitions for interacting finite systems

et al. 2011

Self Cite

View full text Add to dashboard Cite

In this paper, we investigate signatures of topological phase transitions in interacting systems. We show that the key signature is the existence of a topologically protected level crossing, which is robust and sharply defines the topological transition, even in finite-size systems. Spatial symmetries are argued to play a fundamental role in the selection of the boundary conditions to be used to locate topological transitions in finite systems. We discuss the theoretical implications of these results, and utilize exact diagonalization to demonstrate its manifestations in the Haldane-Fermi-Hubbard model. Our findings provide an efficient way to detect topological transitions in experiments and in numerical calculations that cannot access the ground-state wave function.

show abstract

Kaleidoscope of Exotic Quantum Phases in a FrustratedXYModel

Cited by 72 publications

References 36 publications

Bose-Einstein condensation in quantum magnets

Bose-Einstein condensation in quantum magnets

Chiral spin liquid in a two-dimensional two-component helical magnet

Topological phase transitions for interacting finite systems

Contact Info

Product

Resources

About