scholarly journals Abelian SU(N)1 chiral spin liquids on the square lattice

2021 ◽  
Vol 104 (23) ◽  
Author(s):  
Ji-Yao Chen ◽  
Jheng-Wei Li ◽  
Pierre Nataf ◽  
Sylvain Capponi ◽  
Matthieu Mambrini ◽  
...  
Keyword(s):  
Square Lattice ◽  
Spin Liquids

scholarly journals Thermal Hall effect in square-lattice spin liquids: A Schwinger boson mean-field study

2019 ◽  
Vol 99 (16) ◽  
Author(s):  
Rhine Samajdar ◽  
Shubhayu Chatterjee ◽  
Subir Sachdev ◽  
Mathias S. Scheurer
Keyword(s):  
Hall Effect ◽  
Field Study ◽  
Mean Field ◽  
Square Lattice ◽  
Spin Liquids ◽  
Lattice Spin

scholarly journals Cavity-induced quantum spin liquids

2021 ◽  
Vol 12 (1) ◽  
Author(s):  
Alessio Chiocchetta ◽  
Dominik Kiese ◽  
Carl Philipp Zelle ◽  
Francesco Piazza ◽  
Sebastian Diehl
Keyword(s):  
Optical Cavity ◽  
Strongly Correlated Electrons ◽  
Quantum Spin ◽  
Square Lattice ◽  
Spin Liquids ◽  
Range Interaction ◽  
Quantum Spin Liquids ◽  
Electro Magnetic Field ◽  
Electro Magnetic ◽  
Liquid States

AbstractQuantum spin liquids provide paradigmatic examples of highly entangled quantum states of matter. Frustration is the key mechanism to favor spin liquids over more conventional magnetically ordered states. Here we propose to engineer frustration by exploiting the coupling of quantum magnets to the quantized light of an optical cavity. The interplay between the quantum fluctuations of the electro-magnetic field and the strongly correlated electrons results in a tunable long-range interaction between localized spins. This cavity-induced frustration robustly stabilizes spin liquid states, which occupy an extensive region in the phase diagram spanned by the range and strength of the tailored interaction. This occurs even in originally unfrustrated systems, as we showcase for the Heisenberg model on the square lattice.

Influence of Flexible Side-Chains on the Breathing Phase Transition of Pillared Layer MOFs: A Force Field Investigation

2020 ◽  
Author(s):  
Julian Keupp ◽  
Johannes P. Dürholt ◽  
Rochus Schmid
Keyword(s):  
First Principles ◽  
Good Accuracy ◽  
Field Investigation ◽  
Square Lattice ◽  
Side Chain ◽  
Second Step ◽  
Side Chains ◽  
Dynamics Simulations ◽  
Complex Phenomena ◽  
Closed Pore

The prototypical pillared layer MOFs, formed by a square lattice of paddle-<br>wheel units and connected by dinitrogen pillars, can undergo a breathing phase<br>transition by a “wine-rack” type motion of the square lattice. We studied this not<br>yet fully understood behavior using an accurate first principles parameterized force<br>field (MOF-FF) for larger nanocrystallites on the example of Zn 2 (bdc) 2 (dabco) [bdc:<br>benzenedicarboxylate, dabco: (1,4-diazabicyclo[2.2.2]octane)] and found clear indi-<br>cations for an interface between a closed and an open pore phase traveling through<br>the system during the phase transformation [Adv. Theory Simul. 2019, 2, 11]. In<br>conventional simulations in small supercells this mechanism is prevented by periodic<br>boundary conditions (PBC), enforcing a synchronous transformation of the entire<br>crystal. Here, we extend this investigation to pillared layer MOFs with flexible<br>side-chains, attached to the linker. Such functionalized (fu-)MOFs are experimen-<br>tally known to have different properties with the side-chains acting as fixed guest<br>molecules. First, in order to extend the parameterization for such flexible groups,<br>1a new parametrization strategy for MOF-FF had to be developed, using a multi-<br>structure force based fit method. The resulting parametrization for a library of<br>fu-MOFs is then validated with respect to a set of reference systems and shows very<br>good accuracy. In the second step, a series of fu-MOFs with increasing side-chain<br>length is studied with respect to the influence of the side-chains on the breathing<br>behavior. For small supercells in PBC a systematic trend of the closed pore volume<br>with the chain length is observed. However, for a nanocrystallite model a distinct<br>interface between a closed and an open pore phase is visible only for the short chain<br>length, whereas for longer chains the interface broadens and a nearly concerted trans-<br>formation is observed. Only by molecular dynamics simulations using accurate force<br>fields such complex phenomena can be studied on a molecular level.

A STUDY OF GEOMETRICALLY STABLE PATTERNS ON A SQUARE LATTICE ECONOMY

2018 ◽  
Vol 74 (4) ◽  
pp. 411-425
Author(s):  
Yosuke KOGURE ◽  
Mikihisa ONDA ◽  
Minoru OSAWA ◽  
Yuki TAKAYAMA ◽  
Kiyohiro IKEDA
Keyword(s):  
Square Lattice

scholarly journals Correlation holes and slow dynamics induced by fractional statistics in gapped quantum spin liquids

2021 ◽  
Vol 12 (1) ◽  
Author(s):  
Oliver Hart ◽  
Yuan Wan ◽  
Claudio Castelnovo
Keyword(s):  
Transport Properties ◽  
Realistic Model ◽  
Feedback Mechanism ◽  
Quantum Spin ◽  
Spin Liquid ◽  
Spin Liquids ◽  
Slow Dynamics ◽  
Temperature Dependent ◽  
Quantum Spin Liquids ◽  
Quantum Spin Liquid

AbstractRealistic model Hamiltonians for quantum spin liquids frequently exhibit a large separation of energy scales between their elementary excitations. At intermediate, experimentally relevant temperatures, some excitations are sparse and hop coherently, whereas others are thermally incoherent and dense. Here, we study the interplay of two such species of quasiparticle, dubbed spinons and visons, which are subject to nontrivial mutual statistics – one of the hallmarks of quantum spin liquid behaviour. Our results for $${{\mathbb{Z}}}_{2}$$ Z 2 quantum spin liquids show an intriguing feedback mechanism, akin to the Nagaoka effect, whereby spinons become localised on temperature-dependent patches of expelled visons. This phenomenon has important consequences for the thermodynamic and transport properties of the system, as well as for its response to quenches in temperature. We argue that these effects can be measured in experiments and may provide viable avenues for obtaining signatures of quantum spin liquid behaviour.

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