activity
19962023
most citedEquivalence of the Variational Matrix Product Method and the Density Matrix Renormalization Group applied to Spin Chains

173 citations · 367 across the 13 of their papers we have counts for

collaborators

13 papers

quant-ph2023★ 16 cited

The Bethe Ansatz as a Quantum Circuit

Roberto Ruiz, Alejandro Sopena, Max Hunter Gordon +2

The Bethe ansatz represents an analytical method enabling the exact solution of numerous models in condensed matter physics and statistical mechanics. When a global symmetry is pre…

cond-mat.str-el2008★ 12 cited

Twisted Order Parameter applied to Dimerized Ladders

J. Almeida, M. A. Martin-Delgado, G. Sierra

We apply the twisted order parameter (TOP) for dimerized quantum spin ladders to locate the critical phases that separate gapped phases representing quantum spin liquids of various…

cond-mat.str-el2007★ 16 cited

Critical Lines and Massive Phases in Quantum Spin Ladders with Dimerization

Javier Almeida, M. A. Martin-Delgado, G. Sierra

We determine the existence of critical lines in dimerized quantum spin ladders in their phase diagram of coupling constants using the finite-size DMRG algorithm. We consider both s…

cond-mat.str-el2001★ 26 cited

Stripe Ansatzs from Exactly Solved Models

M. A. Martin-Delgado, M. Roncaglia, G. Sierra

Using the Boltzmann weights of classical Statistical Mechanics vertex models we define a new class of Tensor Product Ansatzs for 2D quantum lattice systems, characterized by a stro…

cond-mat.str-el1999★ 3 cited

Matrix Product Approach to Conjugated Polymers

M. A. Martin-Delgado, G. Sierra, S. Pleutin +1

The Matrix Product method (MPM) has been used in the past to generate variational ansatzs of the ground state (GS) of spin chains and ladders. In this paper we apply the MPM to stu…

hep-th1999★ 13 cited

A Density Matrix Renormalization Group Approach to an Asymptotically Free Model with Bound States

M. A. Martin-Delgado, G. Sierra

We apply the DMRG method to the 2 dimensional delta function potential which is a simple quantum mechanical model with asymptotic freedom and formation of bound states. The system…