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We study AKLT models on locally tree-like lattices of fixed connectivity and find that they exhibit a variety of ground states depending upon the spin, coordination and global (graph) topology. We find a) quantum paramagnetic or valence…

Disordered Systems and Neural Networks · Physics 2010-05-24 C. R. Laumann , S. A. Parameswaran , S. L. Sondhi , F. Zamponi

We propose an alternative experimental protocol for the detection of doped Chern insulators and chiral superconductors. Our approach relies on coupling the target chiral system to adatom spins. Due to the substrate chirality, the adatom…

Mesoscale and Nanoscale Physics · Physics 2024-08-09 Yun-Peng Huang , Panagiotis Kotetes

We show that ground states of unfrustrated quantum spin-1/2 systems on general lattices satisfy an entanglement area law, provided that the Hamiltonian can be decomposed into nearest-neighbor interaction terms which have entangled excited…

Quantum Physics · Physics 2015-05-20 Niel de Beaudrap , Tobias J. Osborne , Jens Eisert

We considered a spin chain with nearest neighbor and next nearest neighbor exchange interactions, anisotropic exchange interaction and Dzyaloshinskii-Moriya interaction. The conditions of the spiral spin state as the ground state were…

Strongly Correlated Electrons · Physics 2011-09-27 Meihua Chen , Chong Der Hu

Topological chiral phases are ubiquitous in the physics of the Fractional Quantum Hall Effect. Non-chiral topological spin liquids are also well known. Here, using the framework of projected entangled pair states (PEPS), we construct a…

Strongly Correlated Electrons · Physics 2015-07-10 Didier Poilblanc , J. Ignacio Cirac , Norbert Schuch

Using the Matrix Product State framework, we generalize the Affleck-Kennedy-Lieb-Tasaki (AKLT) construction to one-dimensional spin liquids with global color ${\rm SU}(N)$ symmetry, finite correlation lengths, and edge states that can…

Strongly Correlated Electrons · Physics 2019-07-22 Samuel Gozel , Didier Poilblanc , Ian Affleck , Frédéric Mila

We develop a method of constructing excited states in one dimensional spin chains which are derived from the $SU(2)_1$ Wess-Zumino-Witten Conformal Field Theory (CFT) using a parent Hamiltonian approach. The resulting systems are equivalent…

Strongly Correlated Electrons · Physics 2015-06-15 Benedikt Herwerth , Germán Sierra , Hong-Hao Tu , Anne E. B. Nielsen

A number of interesting features of the ground states of quantum spin chains are analized with the help of a functional integral representation of the system's equilibrium states. Methods of general applicability are introduced in the…

Condensed Matter · Physics 2009-10-22 Michael Aizenman , Bruno Nachtergaele

We employ a novel algorithm using a quasi-exact embedded-cluster matching technique as minimization method within a genetic algorithm to reliably obtain numerically exact ground states of the Edwards-Anderson XY spin glass model with…

Disordered Systems and Neural Networks · Physics 2007-05-23 Martin Weigel , Michel J. P. Gingras

We provide unambiguous theoretical evidence for the formation of correlation-induced isolated merons in rotationally-symmetric quantum dots. Our calculations rely on neither the lowest-Landau-level approximation, nor on the…

Mesoscale and Nanoscale Physics · Physics 2011-08-08 Catherine J. Stevenson , Jordan Kyriakidis

This paper deals with an extension of our previous work [J. Phys. A: Math. Theor. {\bf 40} F817] by considering an alternative construction of canonical and deformed vector coherent states (VCSs) of the Gazeau-Klauder type associated with…

Mathematical Physics · Physics 2009-06-08 Joseph Ben Geloun , Mahouton Norbert Hounkonnou

We obtain the ground-state phase diagram of two spin chains consisting in a set two-level systems asymmetrically coupled to an XX chain through a chiral interaction. The interaction is parametrized by its magnitude and an angle defined by…

Quantum Physics · Physics 2026-01-13 Rafael D. Soares , J. M. Viana Parente Lopes , Hugo Terças

We study quantum entanglement in the ground state of the Affleck-Kennedy-Lieb-Tasaki (AKLT) model defined on two-dimensional graphs with reflection and/or inversion symmetry. The ground state of this spin model is known as the…

Quantum Physics · Physics 2010-06-01 Hosho Katsura , Naoki Kawashima , Anatol N. Kirillov , Vladimir E. Korepin , Shu Tanaka

We present a class of optimum ground states for spin-3/2 models on the Cayley tree with coordination number 3. The interaction is restricted to nearest neighbours and contains 5 continuous parameters. For all values of these parameters the…

Statistical Mechanics · Physics 2009-10-31 H. Niggemann , J. Zittartz

The microscopic control available over cold atoms in optical lattices has opened new opportunities to study the properties of quantum spin models. While a lot of attention is focussed on experimentally realizing ground or thermal states via…

We investigate the ground state magnetic configurations of a Fibonacci chain of classical spins with nearest-neighbor ferromagnetic and monoaxial Dzyaloshinskii-Moriya exchange interactions. Our analysis reveals a diverse array of magnetic…

Strongly Correlated Electrons · Physics 2024-04-23 Pablo S. Cornaglia , Leandro M. Chinellato , Cristian D. Batista

One-way quantum computation proceeds by sequentially measuring individual spins (qubits) in an entangled many-spin resource state. It remains a challenge, however, to efficiently produce such resource states. Is it possible to reduce the…

Quantum Physics · Physics 2010-11-03 Jonathan Lavoie , Rainer Kaltenbaek , Bei Zeng , Stephen D. Bartlett , Kevin J. Resch

We study Mott insulators of fermionic alkaline earth atoms, described by Heisenberg spin models with enhanced SU(N) symmetry. In dramatic contrast to SU(2) magnetism, more than two spins are required to form a singlet. On the square…

Quantum Gases · Physics 2009-09-25 Michael Hermele , Victor Gurarie , Ana Maria Rey

We develop a field theory of quantum magnets and magnetic (semi)metals, which is suitable for the analysis of their universal and topological properties. The systems of interest include collinear, coplanar and general non-coplanar magnets.…

Strongly Correlated Electrons · Physics 2020-08-26 Predrag Nikolić

We demonstrate that in metals, both normal and superconducting, orbital currents present in the ground state when time reversal symmetry (TRS) is broken, generate spin chirality. Nonzero chirality can emerge in the absence of any…

Mesoscale and Nanoscale Physics · Physics 2024-08-20 Archisman Panigrahi , Vladislav Poliakov , Zhiyu Dong , Leonid Levitov