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Ultracold atoms confined to periodic potentials have proven to be a powerful tool for quantum simulation of complex many-body systems. We confine fermions to one-dimension to realize the Tomonaga-Luttinger liquid model describing the highly…

We consider a spin-1/2 tube (a three-leg ladder with periodic boundary conditions) with a Hamiltonian given by two projection operators - one on the triangles, and the other on the square plaquettes on the side of the tube - that can be…

Strongly Correlated Electrons · Physics 2012-01-09 M. Lajko , P. Sindzingre , K. Penc

The quantum XXZ spin model with alternating bond strengths under magnetic field has a rich equilibrium phase diagram which includes Haldane, Luttinger liquid, singlet, and paramagnetic phases. We show that the nearest neighbor bipartite and…

Quantum Physics · Physics 2021-12-23 Keshav Das Agarwal , Leela Ganesh Chandra Lakkaraju , Aditi Sen De

The single impurity problem in a spinful Tomonaga-Luttinger liquid is studied numerically using path-integral Monte Carlo methods. The advantage of our approach is that the system allows for extensive analyses of charge and spin conductance…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Yuji Hamamoto , Ken-Ichiro Imura , Takeo Kato

We use recent developments in the framework of time dependent matrix product state method (t-MPS) to compute the NMR relaxation rate $1/T_1$ for spin-1/2 chains under magnetic field and for different Hamiltonians (XXX, XXZ, isotropically…

Strongly Correlated Electrons · Physics 2016-11-08 E. Coira , P. Barmettler , T. Giamarchi , C. Kollath

We study the magnetic-field-induced quantum phase transition from a gapped quantum phase that has no magnetic long-range order into a gapless phase in the spin-1/2 ladder compound bis(2,3-dimethylpyridinium) tetrabromocuprate (DIMPY). At…

Using results on the mass gap in the sine-Gordon model combined with the exact amplitudes in the bosonized representation of the Heisenberg spin-1/2 chain and one-loop renormalization group, we derive a quantitative expression for the gap…

Strongly Correlated Electrons · Physics 2007-05-23 Edmond Orignac

We propose a three terminal spin polarized stm setup for probing the helical nature of the Luttinger liquid edge state that appears in the quantum spin Hall system. We show that the three-terminal tunneling conductance strongly depends on…

Mesoscale and Nanoscale Physics · Physics 2011-08-09 Sourin Das , Sumathi Rao

The $S=1/2$ XXZ spin chain with the staggered XY anisotropy $$ H = J \sum_{n}^{N} (S^{x}_{n} S^{x}_{n+1} + S^{y}_{n} S^{y}_{n+1} + \Delta S^{z}_{n} S^{z}_{n+1}) - \delta \sum_{n}^{N} (-1)^{n} (S^{x}_{n} S^{x}_{n+1} - S^{y}_{n} S^{y}_{n+1})…

Condensed Matter · Physics 2009-10-22 A. A. Nersesyan , A. Luther

We study stability of multiple conducting edge states in a topological insulator against all multi-particle perturbations allowed by the time-reversal symmetry. We model a system as a multi-channel Luttinger liquid, where the number of…

Strongly Correlated Electrons · Physics 2018-07-04 V. Kagalovsky , A. L. Chudnovskiy , I. V. Yurkevich

The ground state of a one-dimensional spin-1/2 uniform antiferromagnetic Heisenberg chain (AfHc) is a Tomonaga-Luttinger liquid which is quantum-critical with respect to applied magnetic fields upto a saturation field Hs beyond which it…

We investigate ground state properties of the half-filled staggered-flux Hubbard model on a square lattice. Energy gaps to charge and spin excitations and magnetic as well as dimer orders are calculated as a function of interaction strength…

Strongly Correlated Electrons · Physics 2015-06-04 Chia-Chen Chang , Richard T. Scalettar

We clarified behavior of the excitation gap in a frustrated S=1/2 quantum spin chain with bond dimerization by using the numerical diagonalization of finite systems and a variational approach. The model interpolates between the independent…

Condensed Matter · Physics 2009-10-28 Tota Nakamura , Satoshi Takada

A number of lattices exhibit moat-like band structures, i.e. a band with infinitely degenerate energy minima attained along a closed line in the Brillouin zone. If such a lattice is populated with hard-core bosons, the degeneracy prevents…

Strongly Correlated Electrons · Physics 2015-01-26 Tigran A. Sedrakyan , Leonid I. Glazman , Alex Kamenev

We study theoretically the transport of the one-dimensional single-channel interacting electron gas through a strong potential barrier in the parameter regime where the spin sector of the low-energy Luttinger liquid theory is gapped by…

Strongly Correlated Electrons · Physics 2018-03-07 N. Kainaris , S. T. Carr , A. D. Mirlin

The parton approach for quantum spin liquids gives a transparent description of low-energy elementary excitations, e.g., spinons and emergent gauge-field fluctuations. The latter ones are directly coupled to the hopping/pairing of spinons.…

Strongly Correlated Electrons · Physics 2023-11-27 Sasank Budaraju , Yasir Iqbal , Federico Becca , Didier Poilblanc

We study the energy and the static spin structure factor of the ground state of the spin-1/2 quantum Heisenberg antiferromagnetic model on the kagome lattice. By the iterative application of a few Lanczos steps on accurate projected…

Strongly Correlated Electrons · Physics 2015-03-20 Yasir Iqbal , Federico Becca , Sandro Sorella , Didier Poilblanc

We study the $T=0$ frustrated phase of the $1D$ quantum spin-$\frac 12$ system with nearest-neighbour and next-nearest-neighbour isotropic exchange known as the Majumdar-Ghosh Hamiltonian. We first apply the coupled-cluster method of…

Condensed Matter · Physics 2009-10-28 R. J. Bursill , G. A. Gehring , D. J. J. Farnell , J. B. Parkinson , Chen Zeng , T. Xiang

The spin-gap phase of the one-dimensional t-J-J' model is studied by the level-crossing of the singlet and the triplet excitation spectra. The phase boundary obtained between the Tomonaga-Luttinger and the spin-gap phases is remarkably…

Strongly Correlated Electrons · Physics 2009-10-31 Masaaki Nakamura

We demonstrate that quantum-critical spin dynamics can be probed in high magnetic fields using muon-spin relaxation ($\mu^{+}$SR). Our model system is the strong-leg spin ladder bis(2,3-dimethylpyridinium) tetrabromocuprate (DIMPY). In the…

Strongly Correlated Electrons · Physics 2017-01-24 J. S. Möller , T. Lancaster , S. J. Blundell , F. L. Pratt , P. J. Baker , F. Xiao , R. C. Williams , W. Hayes , M. M. Turnbull , C. P. Landee